Goldfeld's conjecture and congruences between heegner points
© The Author(s) 2019. Given an elliptic curve E over Q, a celebrated conjecture of Goldfeld asserts that a positive proportion of its quadratic twists should have analytic rank 0 (respectively 1). We show that this conjecture holds whenever E has a rational 3-isogeny. We also prove the analogous res...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Cambridge University Press (CUP)
2021
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| Online Access: | https://hdl.handle.net/1721.1/134808 |