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103
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Elliptic curve theory : Injection from $\widehat{E(K)}$ to $E(K_v)$

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#number-theory #algebraic-geometry #elliptic-curves #arithmetic-geometry #local-field
773
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On why solutions to $x^4+y^4+z^4 = 1$ come in pairs

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#number-theory #diophantine-equations #elliptic-curves
66
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Computing discriminant of an elliptic curve

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#number-theory #solution-verification #algebraic-number-theory #elliptic-curves #discriminant
39
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Testing compositeness of the order of an elliptic curve over a prime field

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#elliptic-curves #sagemath
56
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$p$-adic numbers

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#number-theory #elementary-number-theory #prime-numbers #elliptic-curves #p-adic-number-theory
61
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Mapping degree 2 line bundle to a degree 1 line bundle on an elliptic curve

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#algebraic-geometry #elliptic-curves #line-bundles
74
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Ramification of mod $\ell$ representation of elliptic curves

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#elliptic-curves #arithmetic-geometry #galois-representations
31
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why do we need to take symmetric while adding points of elliptic curve

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#number-theory #elliptic-curves
40
Views

Orders of isogenous curves over the algebraic closure

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#elliptic-curves #morphism #isogeny
83
Views

Kummer map on the formal group of elliptic curve

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#elliptic-curves #galois-cohomology #kummer-theory #formal-groups
69
Views

Profinite completion of local Mordell-Weil group

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#number-theory #elliptic-curves #arithmetic-geometry
84
Views

Why is $\wedge ^2 E[p] \cong \mu_p$?

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#algebraic-geometry #algebraic-number-theory #elliptic-curves #formal-power-series #torsion-groups
250
Views

On why solutions to $a^4+b^4+c^4+d^4 = (a+b+c+d)^4$ also come in pairs

Published on
#number-theory #diophantine-equations #elliptic-curves
130
Views

Example 3.5 Silverman's Elliptic Curves: problem with a point in the projective space

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#algebraic-geometry #elliptic-curves #projective-space
98
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Points on Hyperelliptic Curve

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#elliptic-curves

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