scholarly journals Modular forms constructed from moduli of elliptic curves, with applications to explicit models of modular curves

2019 ◽  
pp. 139-154
Author(s):  
Kamal Khuri-Makdisi
Keyword(s):  
Elliptic Curves ◽  
Modular Forms ◽  
Modular Curves

scholarly journals Quasi-modular forms attached to elliptic curves, I

2012 ◽  
Vol 19 (2) ◽  
pp. 307-377 ◽  
Author(s):  
Hossein Movasati
Keyword(s):  
Elliptic Curves ◽  
Modular Forms

scholarly journals Higher reciprocity law, modular forms of weight 1 and elliptic curves

1985 ◽  
Vol 98 ◽  
pp. 109-115 ◽  
Author(s):  
Masao Koike
Keyword(s):  
Elliptic Curves ◽  
Modular Forms ◽  
Cusp Forms ◽  
Close Connection ◽  
Irreducible Polynomials ◽  
Reciprocity Law

In this paper, we study higher reciprocity law of irreducible polynomials f(x) over Q of degree 3, especially, its close connection with elliptic curves rational over Q and cusp forms of weight 1. These topics were already studied separately in a special example by Chowla-Cowles [1] and Hiramatsu [2]. Here we bring these objects into unity.

scholarly journals Elliptic curves, modular forms, and sums of Hurwitz class numbers

2008 ◽  
Vol 128 (6) ◽  
pp. 1847-1863 ◽  
Author(s):  
Brittany Brown ◽  
Neil J. Calkin ◽  
Timothy B. Flowers ◽  
Kevin James ◽  
Ethan Smith ◽  
...  
Keyword(s):  
Elliptic Curves ◽  
Modular Forms ◽  
Class Numbers

scholarly journals Restriction of Siegel modular forms to modular curves

2002 ◽  
Vol 65 (2) ◽  
pp. 239-252 ◽  
Author(s):  
Cris Poor ◽  
David S. Yuen
Keyword(s):  
Modular Form ◽  
Modular Forms ◽  
Fourier Coefficients ◽  
Congruence Subgroup ◽  
Siegel Modular Forms ◽  
Siegel Modular Form ◽  
Modular Curves ◽  
Linear Relations

We study homomorphisms form the ring of Siegel modular forms of a given degree to the ring of elliptic modular forms for a congruence subgroup. These homomorphisms essentially arise from the restriction of Siegel modular forms to modular curves. These homomorphisms give rise to linear relations among the Fourier coefficients of a Siegel modular form. We use this technique to prove that dim .

Introduction to Elliptic Curves and Modular Forms

1995 ◽  
Vol 79 (484) ◽  
pp. 216
Author(s):  
John Cremona ◽  
Neal Koblitz
Keyword(s):  
Elliptic Curves ◽  
Modular Forms
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