scholarly journals Quadratic points on modular curves with infinite Mordell–Weil group

2020 ◽  
Vol 90 (327) ◽  
pp. 321-343
Author(s):  
Josha Box
Keyword(s):  
Modular Curves ◽  
Weil Group

scholarly journals Normalizers of non-split Cartan subgroups, modular curves, and the class number one problem

2010 ◽  
Vol 130 (12) ◽  
pp. 2753-2772 ◽  
Author(s):  
Burcu Baran
Keyword(s):  
Class Number ◽  
Modular Curves ◽  
Cartan Subgroups

scholarly journals On the genus of some modular curves of level N

1996 ◽  
Vol 54 (2) ◽  
pp. 291-297 ◽  
Author(s):  
Chang Heon Kim ◽  
Ja Kyung Koo
Keyword(s):  
Modular Curves

We estimate the genus of the modular curves X1(N).

Zeta functions of twisted modular curves

2006 ◽  
Vol 80 (1) ◽  
pp. 89-103 ◽  
Author(s):  
Cristian Virdol
Keyword(s):  
Zeta Function ◽  
Galois Group ◽  
Complex Plane ◽  
Zeta Functions ◽  
Modular Curves ◽  
Absolute Galois Group ◽  
Modular Curve ◽  
The Absolute

AbstractIn this paper we compute and continue meromorphically to the whole complex plane the zeta function for twisted modular curves. The twist of the modular curve is done by a modprepresentation of the absolute Galois group.

The Jacobians of Non-Split Cartan Modular Curves

1998 ◽  
Vol 77 (1) ◽  
pp. 1-38 ◽  
Author(s):  
I Chen
Keyword(s):  
Modular Curves

scholarly journals Congruences between cusp forms and the geometry of Jacobians of modular curves

1993 ◽  
Vol 295 (1) ◽  
pp. 111-133 ◽  
Author(s):  
San Ling
Keyword(s):  
Cusp Forms ◽  
Modular Curves

The Mordell-Weil Group of Curves of Genus 2

1983 ◽  
pp. 27-60 ◽  
Author(s):  
J. W. S. Cassels
Keyword(s):  
Genus 2 ◽  
Weil Group

Triangular Modular Curves

2019 ◽  
pp. 481-483
Author(s):  
John Voight
Keyword(s):  
Modular Curves
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