Posted in
Speaker:
Eugenia Rosu
Affiliation:
MPIM
Date:
Wed, 29/07/2020 - 14:30 - 15:30
Parent event:
Number theory lunch seminar We consider certain families of sextic twists of the elliptic curve y^2=x^3+1 that are not defined over Q, but over Q[sqrt(-3)]. We compute a formula that relates the value of the L-function L(E_D, 1) to the square of a trace of a modular function at a CM point. Assuming the Birch and Swinnerton-Dyer conjecture, when the value above is non-zero, we recover the order of the Tate-Shafarevich group and show that its value is a square.
Zoom Online Meeting ID: 919 6497 4060
For password see the email or contact Pieter Moree (moree@mpim...).
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