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Tate curve
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41	ELLIPTIC CURVES COMING FROM HERON TRIANGLES ANDREJ DUJELLA AND JUAN CARLOS PERAL Triangles having rational sides a, b, c and rational area Q are called Heron triangles. Associated to each Heron triangle is the quartic A Add to Reading List Source URL: bib.irb.hr Language: English - Date: 2012-10-20 07:54:38 Number theory Elliptic curve Group theory W2 Integer triangle W postcode area Néron–Tate height Heronian triangle W4 Mathematics Geometry Analytic number theory
42	The average size of the 5-Selmer group of elliptic curves is 6, and the average rank is less than 1 arXiv:1312.7859v1 [math.NT] 30 Dec[removed]Manjul Bhargava and Arul Shankar Add to Reading List Source URL: arxiv.org Language: English - Date: 2013-12-31 01:15:54 Number theory Elliptic curves Analytic number theory Group theory Modular forms Birch and Swinnerton-Dyer conjecture Curve J-invariant Tate–Shafarevich group Mathematics Abstract algebra Mathematical analysis
43	Publications [1] M. Flach, Herleitung der Chowla-Selberg Formel aus Shimura’schen Periodenrelationen, Arch. Math[removed]), 418–[removed]] , Periods and special values of the hypergeometric series, Math. Proc. Camb. P Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2011-04-11 21:27:03 Homological algebra Galois theory Matthias Flach Year of birth missing Motive Elliptic curve Tate–Shafarevich group Galois module Abstract algebra Algebra Algebraic geometry
44	The average size of the 5-Selmer group of elliptic curves is 6, and the average rank is less than 1 arXiv:1312.7859v1 [math.NT] 30 Dec[removed]Manjul Bhargava and Arul Shankar Add to Reading List Source URL: arxiv.org Language: English - Date: 2013-12-31 01:15:54 Number theory Elliptic curves Analytic number theory Group theory Modular forms Birch and Swinnerton-Dyer conjecture Curve J-invariant Tate–Shafarevich group Mathematics Abstract algebra Mathematical analysis
45	On the local Tamagawa number conjecture for Tate motives Thesis by Jay Daigle Add to Reading List Source URL: jaydaigle.net Language: English - Date: 2014-05-30 09:47:57 Algebraic number theory Field theory Frobenius endomorphism Galois theory Valuation Algebraic number field Motive Elliptic curve Abstract algebra Algebra Algebraic geometry
46	Curriculum Vitae William Gordon McCallum Address Department of Mathematics University of Arizona Add to Reading List Source URL: math.arizona.edu Language: English - Date: 2012-02-04 12:58:19 Pierre de Fermat Tate–Shafarevich group Curve Mathematics Number theorists Calculus
47	ON THE COHOMOLOGY OF CERTAIN PEL TYPE SHIMURA VARIETIES ELENA MANTOVAN Abstract. In this paper, we study the local geometry at a prime p of PEL type Shimura varieties for which there is a hyperspecial level subgroup. We Add to Reading List Source URL: www.its.caltech.edu Language: English - Date: 2008-10-13 16:07:02 Homological algebra Cohomology theories Algebraic surfaces Algebraic groups Shimura variety Barsotti–Tate group Étale cohomology Elliptic curve Tate group Abstract algebra Algebra Algebraic geometry
48	ON CERTAIN UNITARY GROUP SHIMURA VARIETIES by Elena Mantovan Abstract. — In this paper, we study the local geometry at a prime p of a certain class of (PEL) Add to Reading List Source URL: www.its.caltech.edu Language: English - Date: 2006-09-05 14:20:40 Algebraic geometry Shimura variety Étale cohomology Elliptic curve Group scheme Galois module Abelian variety Tate–Shafarevich group Barsotti–Tate group Abstract algebra Algebra Homological algebra
49	I WASAWA T HEORY FOR E LLIPTIC C URVES AND BSD(p) Daniele CASAZZA [removed] Advised by Prof. Jean GILLIBERT Add to Reading List Source URL: www.algant.eu Language: English - Date: 2013-07-01 18:15:43 Number theory Analytic number theory Conjectures Algebraic curves Elliptic curve Modular form Birch and Swinnerton-Dyer conjecture Modular curve Tate–Shafarevich group Abstract algebra Mathematics Field theory
50	EXHIBITING SHA[2] ON HYPERELLIPTIC JACOBIANS N. BRUIN AND E.V. FLYNN Abstract. We discuss approaches to computing in the Shafarevich-Tate group of Jacobians of higher genus curves, with an emphasis on the theory and prac Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:36 Niels Henrik Abel Abelian variety Elliptic curve Rational point Abelian group Hyperelliptic curve cryptography Imaginary hyperelliptic curve Abstract algebra Algebraic curves Algebra

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