6-K

                                    FORM 6-K

                       SECURITIES AND EXCHANGE COMMISSION

                             Washington, D.C. 20549

                        Report of Foreign Private Issuer
                        Pursuant to Rule 13a-16 or 15d-16
                    under the Securities Exchange Act of 1934

                         For the month of November, 2004

                        Commission File Number 001-13896



                              Elan Corporation, plc
- --------------------------------------------------------------------------------
                 (Translation of registrant's name into English)


                 Lincoln House, Lincoln Place, Dublin 2, Ireland
- --------------------------------------------------------------------------------
                    (Address of principal executive offices)



     Indicate by check mark whether the registrant files or will file annual
reports under cover of Form 20-F or Form 40-F:

                  Form 20-F /X/                 Form 40-F / /


     Indicate by check mark if the registrant is submitting the Form 6-K in
paper as permitted by Regulation S-T Rule 101(b)(1):

                       Yes / /                         No /X/

     Note: Regulation S-T Rule 101(b)(1) only permits the submission in paper of
a Form 6-K if submitted solely to provide an attached annual report to security
holders.


     Indicate by check mark if the registrant is submitting the Form 6-K in
paper as permitted by Regulation S-T Rule 101(b)(7):

                       Yes / /                         No /X/





                                      -2-


     Note: Regulation S-T Rule 101(b)(7) only permits the submission in paper of
a Form 6-K if submitted to furnish a report or other document that the
registrant foreign private issuer must furnish and make public under the laws of
the jurisdiction in which the registrant is incorporated, domiciled or legally
organized (the registrant's "home country"), or under the rules of the home
country exchange on which the registrant's securities are traded, as long as the
report or other document is not a press release, is not required to be and has
not been distributed to the registrant's security holders, and, if discussing a
material event, has already been the subject of a Form 6-K submission or other
Commission filing on EDGAR.

     Indicate by check mark whether by furnishing the information contained in
this Form, the registrant is also thereby furnishing the information to the
Commission pursuant to Rule 12g3-2(b) under the Securities Exchange Act of 1934.

                       Yes / /                         No /X/

     If "Yes" is marked, indicate below the file number assigned to the
registrant in connection with Rule 12g3-2(b):











                                  EXHIBIT LIST

  Exhibit     Description
  -------     -----------

    99.1      Press release dated November 10, 2004 titled:
              Elan to present at SG Cowen & Co. 5th Annual Global Healthcare
              Conference.








                                   SIGNATURES

     Pursuant to the requirements of the Securities Exchange Act of 1934, the
registrant has duly caused this report to be signed on its behalf by the
undersigned, thereunto duly authorized.



                                      ELAN CORPORATION, plc

                                      By:   /s/ William F. Daniel
                                            ----------------------------
                                            William F. Daniel
                                            Company Secretary

Date: November 10, 2004

EX-99.1

                                                                    Exhibit 99.1




                              FOR IMMEDIATE RELEASE



Investors:                                                Media:
Emer Reynolds                                             Anita Kawatra
Ph:  353-1-709-4000                                       Ph:  212-407-5755
     800-252-3526                                              800-252-3526


                  ELAN TO PRESENT AT SG COWEN & Co. 5TH ANNUAL
                          GLOBAL HEALTHCARE CONFERENCE


DUBLIN, IRELAND, NOVEMBER 10, 2004--Elan Corporation, plc announces that it will
present at SG Cowen & Co. 5th Annual Global Healthcare Conference in Geneva,
Switzerland on Wednesday, November 17, 2004 at 9.10 a.m. Central European Time,
8.10 a.m. Greenwich Mean Time, 3.10 a.m. Eastern Standard Time. Interested
parties may access a live audio webcast of the presentation by visiting Elan's
website at www.elan.com and clicking on the Investor Relations section, then on
the event icon.

About Elan

Elan is a neuroscience-based biotechnology company that is focused on
discovering, developing, manufacturing, selling and marketing advanced therapies
in neurodegenerative diseases, autoimmune diseases and severe pain. Elan's
(NYSE: ELN) shares trade on the New York, London and Dublin Stock Exchanges.