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15
502
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When is a modular curve defined over Q?

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#algebraic-geometry #reference-request #elliptic-curves #modular-forms
606
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Galois representations and isogenies of elliptic curves

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#number-theory #algebraic-geometry #elliptic-curves #galois-representations
519
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Large initial solutions to $x^3+y^3 = Nz^3$?

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#diophantine-equations #elliptic-curves
582
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Modular parametrization of elliptic curve

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#reference-request #elliptic-curves #modular-forms #integer-lattices
999
Views

Elliptic curve reduction modulo $p$

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#elliptic-curves #group-homomorphism
442
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Integral relations in Fricke and Klein

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#elliptic-curves #modular-forms #elliptic-integrals #elliptic-functions #translation-request
84
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Why is $E[l]\cong\mathbb Z/l\mathbb Z\times\mathbb Z/l\mathbb Z$ for an elliptic curve $E$?

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#group-theory #finite-groups #finite-fields #elliptic-curves #torsion-groups
304
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Formal Group for the Elliptic Curve $Y^2=X^3+AX$

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#elliptic-curves
154
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Quick question: Tensoring a 2-torsion line bundle with a rank 2 nonsplit extension over a curve of genus 1

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#algebraic-geometry #elliptic-curves #vector-bundles #characteristic-classes
58
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Topics in elliptic curves over finite fields

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#elliptic-curves
1.5k
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Complex analysis prerequisites for Silverman's The Arithmetic of Elliptic Curves

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#complex-analysis #elliptic-curves
358
Views

Elliptic Curve Group and Multiplicative Inverse of an element.

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#algebraic-geometry #elliptic-curves #elliptic-functions
99
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Show that $Y^2-X^3\mid f$ if $f$ vanishes on the curve $C: (t^2,t^3)$, and determine what property of a field $k$ will ensure that the result holds.

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#algebraic-geometry #elliptic-curves #parametric
112
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Conditions of $f=a+bx+cz+dx^2+exz+fz^2+...$ such that its tangent line is $z=0$ and inflection point is at the origin.

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#algebraic-geometry #elliptic-curves #projective-geometry
613
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What are the zeros of the j-function?

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#complex-analysis #elliptic-curves #modular-forms

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