Go to the content (press return)

# FUTUR. Website for the scientific production of UPC researchers

## Q-curves and their Manin ideals

Author
Gonzalez, J.; Lario, J.-C.
Type of activity
Journal article
Journal
American journal of mathematics
Date of publication
2001-03
Volume
123
Number
3
First page
475
Last page
503
URL
https://www.jstor.org/stable/25099067
Abstract
Let C be an elliptic curve over Q and let ¿ denote its Néron differential (uniquely determined up to sign). According to a conjecture of Manin-Stevens, there is a modular parametrization $\pi \colon X_{1}(N)\rightarrow C$ defined over Q such that the so-called Manin constant c(p) is equal to 1. The constant c(p) is defined by the equality p*(¿) = c(p)f(q)dq/q, where f is a normalized newform of weight 2 on $\Gamma _{1}(N)$. In this paper we propose a generalization of the Manin constant as a ...
Group of research
TN - Number Theory Research Group