# An even parity instance of the Goldfeld conjecture

## Location

Zoom

Monday, March 1, 2021 12:30 PM

Ashay Burungale (Caltech)

In 1979 D. Goldfeld conjectures 50% of the quadratic twists of an elliptic curve over the rationals have analytic rank 0. We present the first instance: the congruent number elliptic curves (joint with Y. Tian).