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Motivation for Weil pairing

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#number-theory #elliptic-curves
521
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How does $\text{Gal}(L/K)$ act on the automorphism group of an elliptic curve?

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#number-theory #algebraic-geometry #elliptic-curves #arithmetic-geometry
179
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Elliptic Curves Nagell-Lutz question

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#elliptic-curves #torsion-groups
220
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an Example of Elliptic Curve over finite field has no CM

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#algebraic-geometry #finite-fields #elliptic-curves #complex-multiplication
540
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When Frobenius map equal to multiplication-by-m map

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#finite-fields #elliptic-curves #complex-multiplication
491
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Why Elliptic Curves have so many nice properties

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#algebraic-geometry #elliptic-curves
450
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Selmer and Shafarevich-Tate Groups

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#elliptic-curves #galois-cohomology
615
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Sage usage to calculate a cardinality

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#elliptic-curves #sagemath
63
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Existence of certain homogenous forms

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#abstract-algebra #polynomials #elliptic-curves
1.1k
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Endomorphism Ring of an Elliptic Curve over Finite Field

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#finite-fields #elliptic-curves #complex-multiplication
1k
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Intersection of two quadrics

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#algebraic-topology #elliptic-curves #projective-geometry
527
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Torsion on $y^2=x^3+d$

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#number-theory #elliptic-curves
304
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Exact rank of Elkies curve

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#number-theory #soft-question #elliptic-curves
245
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The cardinality of the preimage of a point under a nonzero isogeny equals the separable degree of the isogeny

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#algebraic-geometry #elliptic-curves
667
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associativity on elliptic curves -- Milne's proof

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#elliptic-curves #projective-geometry

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