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Classical modular curve
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11	Heegner points and Sylvester’s conjecture Samit Dasgupta and John Voight Abstract. We consider the classical Diophantine problem of writing positive integers n as the sum of two rational cubes, i.e. n = x3 + y 3 for x, Add to Reading List Source URL: people.ucsc.edu Language: English - Date: 2008-09-13 15:52:13 Algebraic number theory Elliptic curves Number theory Group theory Heegner point Modular form Birch and Swinnerton-Dyer conjecture Prime number Classical modular curve Abstract algebra Mathematics Analytic number theory
12	Descent via Isogeny in Dimension 2 E. V. Flynn, Mathematical Institute, University of Oxford Abstract A technique of descent via 4-isogeny is developed on the Jacobian of a curve of genus 2 of the form: Y 2 = q1 (X)q2 (X Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:37 Analytic number theory Algebraic curves Elliptic curve Group theory Symbol Abelian variety Quadratic form Constructible universe Classical modular curve Algebraic geometry Abstract algebra Algebra
13	DESCENT VIA ISOGENY ON ELLIPTIC CURVES WITH LARGE RATIONAL TORSION SUBGROUPS E.V. FLYNN AND C. GRATTONI Abstract. We outline PARI programs which assist with various algorithms related to descent via isogeny on elliptic c Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2009-08-31 00:19:19 Analytic number theory Group theory Elliptic curves Algebraic number field Birch and Swinnerton-Dyer conjecture Classical modular curve Golden ratio base Abstract algebra Mathematics Number theory
14	TOWARDS QUANTUM-RESISTANT CRYPTOSYSTEMS FROM SUPERSINGULAR ELLIPTIC CURVE ISOGENIES ´ OME ˆ ˆ LUCA DE FEO, DAVID JAO, AND JER Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2012-07-04 11:29:25 Elliptic curves Group theory Supersingular elliptic curve Isogeny Dual abelian variety Localization of a category Classical modular curve Abstract algebra Algebraic geometry Analytic number theory
15	MODULAR CURVES AND RAMANUJAN’S CONTINUED FRACTION BRYDEN CAIS AND BRIAN CONRAD Abstract. We use arithmetic models of modular curves to establish some properties of Ramanujan’s continued fraction. In particular, we gi Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2006-03-08 11:36:50 Modular forms Analytic number theory Elliptic functions Riemann surfaces Algebraic curves J-invariant Theta function Congruence subgroup Classical modular curve Abstract algebra Mathematical analysis Mathematics
16	Lecture Notes in Mathematics A collection of informal reports and seminars Edited by A. Dold, Heidelberg and 6. Eckmann, Zurich Series: Forschungsinstitut f i r Mathematik, ETH, Zurich . Adviser: K. Chandrasekharar Goro Add to Reading List Source URL: www.plouffe.fr Language: English - Date: 2014-05-28 20:50:00 Mathematics Elliptic curve Group theory Modular form Algebraic number field Four-square cipher Classical cipher Abstract algebra Mathematical analysis Analytic number theory
17	Isogenies in a quantum world David Jao University of Waterloo Add to Reading List Source URL: ecc2011.loria.fr Language: English - Date: 2011-09-30 12:40:03 Analytic number theory Abelian varieties Group theory Supersingular elliptic curve Algebraic curves Isogeny Localization of a category Complex multiplication Classical modular curve Abstract algebra Algebraic geometry Elliptic curves
18	Irl verl lione$ Invent. math. 84, [removed]) Add to Reading List Source URL: people.mpim-bonn.mpg.de Language: English - Date: 2005-04-05 19:19:45 Mathematical analysis Elliptic curve Group theory Modular form Four-square cipher Classical cipher Abstract algebra Mathematics Analytic number theory

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