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15
39
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Exact sequence $R_K^m→R_K^n→I→0$ given in Silverman's AAEC

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#abstract-algebra #ring-theory #elliptic-curves #exact-sequence
273
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Blow-up of a Pencil of Cubic Curves (Miranda's basic theory of elliptic surfaces)

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#algebraic-geometry #elliptic-curves #intersection-theory #blowup
100
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What does 'Isogeny is determined by its kernel up to automorphisms' mean?

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#algebraic-number-theory #elliptic-curves #automorphism-group #arithmetic-geometry #isogeny
197
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Isomorphisms of elliptic curves defined over different finite fields

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#algebraic-geometry #elliptic-curves
115
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Is $K(E_{tors})/K$ always infinite degree extension

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#field-theory #galois-theory #elliptic-curves #complex-multiplication
125
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How many elements does Bitcoin's secp256k1 have?

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#group-theory #elliptic-curves
44
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How to check the condition $E(\bar{K})[n] \subseteq E(K)$ for pairing $e_n$?

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#abstract-algebra #group-theory #elliptic-curves
243
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Periods and $\mathscr{P}(w)$ of the elliptic curve $y^2=4(x-1)(x-2)(x-3)$

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#elliptic-curves #periodic-functions #elliptic-integrals
107
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mod p modular forms

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#algebraic-geometry #elliptic-curves #modular-forms
102
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Question from Chapter 1 of Cornell, Silverman, Stevens "Modular Forms and Fermat's Last Theorem."

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#number-theory #elliptic-curves #modular-forms
313
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Supersingular elliptic curve over $\mathbb F_p$

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#number-theory #algebraic-geometry #elliptic-curves #arithmetic-geometry
65
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For elliptic curve $E/{\overline k}, ~j(E)\in k\iff E$ can be defined over $k$?

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#algebraic-geometry #finite-fields #elliptic-curves
179
Views

How does the extension field $F_{p^k}$ contain complex roots of unity?

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#group-theory #finite-fields #elliptic-curves #roots-of-unity #torsion-groups
78
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Is there a "local-to-global" proof of the Mordell–Weil theorem?

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#abstract-algebra #number-theory #abelian-groups #elliptic-curves #arithmetic-geometry
187
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Finding an elliptic curve which has CM by $\mathbb{Q}(\sqrt{-143})$.

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#number-theory #elliptic-curves #modular-forms #elliptic-functions

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