Defining equations of modular curves

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DC Field	Value	Language
dc.contributor.author	Yang, Yifan	en_US
dc.date.accessioned	2014-12-08T15:16:01Z	-
dc.date.available	2014-12-08T15:16:01Z	-
dc.date.issued	2006-08-20	en_US
dc.identifier.issn	0001-8708	en_US
dc.identifier.uri	http://dx.doi.org/10.1016/j.aim.2005.05.019	en_US
dc.identifier.uri	http://hdl.handle.net/11536/11910	-
dc.description.abstract	We obtain defining equations of modular curves X-0(N), X-1(N), and X(N) by explicitly constructing modular functions using generalized Dedekind eta functions. As applications, we describe a method of obtaining a basis for the space of cusp forms of weight 2 on a congruence subgroup. We also use our model of X-0(37) to find explicit modular parameterization of rational elliptic curves of conductor 37. (C) 2005 Elsevier Inc. All rights reserved.	en_US
dc.language.iso	en_US	en_US
dc.subject	modular curves	en_US
dc.subject	generalized Dedekind eta-functions	en_US
dc.subject	cusp forms	en_US
dc.subject	modular parameterization of rational elliptic curves	en_US
dc.title	Defining equations of modular curves	en_US
dc.type	Article	en_US
dc.identifier.doi	10.1016/j.aim.2005.05.019	en_US
dc.identifier.journal	ADVANCES IN MATHEMATICS	en_US
dc.citation.volume	204	en_US
dc.citation.issue	2	en_US
dc.citation.spage	481	en_US
dc.citation.epage	508	en_US
dc.contributor.department	應用數學系	zh_TW
dc.contributor.department	Department of Applied Mathematics	en_US
dc.identifier.wosnumber	WOS:000239821400005	-
dc.citation.woscount	12	-
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