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15
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Elliptic Curve and Consecutive X Coordinates

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#elliptic-curves
116
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Is there any easy proof for this "weak version" of Mazur's theorem on the torsion group of $\mathbb{Q}$-elliptic curves?

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#number-theory #elliptic-curves #function-fields
40
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reference for this theorem about elliptic curves over $\mathbb{Q}_p$.

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#elliptic-curves #algebraic-curves #p-adic-number-theory #valuation-theory
59
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A reference for the proof of $E_1(\mathbb{Q}_p)\approx \mathbb{Z}_p$

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#algebraic-geometry #elliptic-curves #p-adic-number-theory
65
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What is the $k^{al}$-points of a variety over $k$?

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#algebraic-geometry #elliptic-curves #schemes #abelian-varieties
200
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A theorem of Lutz about the structure of the points of an elliptic curve over a finite extension of $\mathbb{Q}_p$

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#number-theory #elliptic-curves #p-adic-number-theory #local-field #abelian-varieties
38
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Show that there is a integer $k$ such that $e_n(P, Q) = 1$ if and only if $P = kQ$.

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#algebraic-number-theory #elliptic-curves
205
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Way to find all the $j$-invariants for elliptic curves over a field

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#algebraic-number-theory #elliptic-curves
123
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Elliptic curves has multiplicative reduction

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#number-theory #elliptic-curves
154
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Fundamental Discriminant

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#abstract-algebra #diophantine-equations #elliptic-curves #discriminant
52
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Relations between good ordinary reduction for $E/\mathbb{Q}$ and for $E/K$ with $K$ number field

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#number-theory #elliptic-curves #arithmetic-geometry #abelian-varieties
708
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Canonical lift of Elliptic curve in Smart attack

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#algebraic-geometry #elliptic-curves #cryptography #p-adic-number-theory
145
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Question about Elliptic curves over finite field and Frobenius morphism

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#algebraic-geometry #elliptic-curves #algebraic-curves
456
Views

$j$-invariants for elliptic curves over $\mathbb{F}_p$

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#elliptic-curves
164
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Generalized Fermat equation for signature [4,5,7]

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#number-theory #elementary-number-theory #diophantine-equations #elliptic-curves

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