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Why is the rank of elliptic curves isogeny invariant?

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#number-theory #elliptic-curves #arithmetic-geometry #isogeny
39
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Orders of isogenous curves over the algebraic closure

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#elliptic-curves #morphism #isogeny
43
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Isomorphism $(A\times B)^\vee\to A^\vee\times B^\vee$ for abelian varieties

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#number-theory #algebraic-geometry #arithmetic-geometry #abelian-varieties #isogeny
251
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How to confirm $\phi(F_1(x,y))＝F_2(\phi(x),\phi(y))$,where $F_1$ and $F_2$ are formal group law of elliptic curve $E_1$, $E_2$.

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#elliptic-curves #formal-power-series #formal-groups #isogeny
198
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Isogeny between elliptic curves is always bijective?

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#elliptic-curves #isogeny
92
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Does the first coordinate of a morphism (isogeny) of elliptic curves only depend on the $x$-coordinate?

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#elliptic-curves #algebraic-curves #isogeny
210
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Dual isogeny of purely inseparable isogeny is not always purely inseparable

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#algebraic-geometry #elliptic-curves #duality-theorems #arithmetic-geometry #isogeny
136
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Question about the degree of the composition of two isogenies

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#elliptic-curves #isogeny
113
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What does it mean for an isogeny to be of "smooth degree?"

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#elliptic-curves #isogeny
70
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In the process of counting the number of supersinguar elliptic curve

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#algebraic-geometry #elliptic-curves #arithmetic-geometry #isogeny
134
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Proof of Theorem 6.1(b) in Silverman's AEC

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#algebraic-geometry #elliptic-curves #morphism #isogeny
116
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Is every isogeny over $\mathbb Q$ separable?

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#separable-extension #isogeny
78
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$\ell$-isogeny graphs over finite fields

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#linear-algebra #algebraic-geometry #elliptic-curves #isogeny
223
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Derivative of dual isogeny is pullback on $H^1$

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#algebraic-geometry #elliptic-curves #isogeny
398
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Implementation of a constructive algorithm for Deuring's correspondence

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#algebraic-geometry #elliptic-curves #quaternions #sagemath #isogeny

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