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: | Kriz, D, Li, C |
---|---|
Other Authors: | Massachusetts Institute of Technology. Department of Mathematics |
Format: | Article |
Language: | English |
Published: |
Cambridge University Press (CUP)
2021
|
Online Access: | https://hdl.handle.net/1721.1/134808 |
Similar Items
-
GOLDFELD’S CONJECTURE AND CONGRUENCES BETWEEN HEEGNER POINTS
by: DANIEL KRIZ, et al.
Published: (2019-01-01) -
Identification of suitable explanatory variable in goldfeld-quandt test and robust inference under heteroscedasticity and high leverage points
by: Muhammadu, Adamu Adamu
Published: (2016) -
A robust modification of the Goldfeld-Quandt Test for the detection of heteroscedasticity in the presence of outliers
by: Rana, Md. Sohel, et al.
Published: (2008) -
Parallel weight 2 points on Hilbert modular eigenvarieties and the parity conjecture
by: Newton, J, et al.
Published: (2019) -
Rational points in periodic analytic sets and the Manin-Mumford
conjecture
by: Pila, J, et al.
Published: (2008)