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113
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Intuitive version of Szpiro's Conjecture

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#number-theory #elliptic-curves
439
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Elliptic Curve Non-tangent Non-Vertical Line

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#elliptic-curves
161
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Connectedness criterion for elliptic curve given $j$-invariant

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#algebraic-geometry #connectedness #elliptic-curves
196
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What does the phrase "For supersingular elliptic curves, isogenies are equivalently defined by points inside their kernel" mean?

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#algebraic-geometry #elliptic-curves
114
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Equivalent elliptic curves

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#elliptic-curves
194
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Change of variable in Elliptic Curve using Maple

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#elliptic-curves #maple
200
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Weil pairing on $E[p]$ is trivial

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#prime-numbers #finite-fields #elliptic-curves #positive-characteristic #torsion-groups
2k
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How does one actually compute the dual isogeny?

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#elliptic-curves
113
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Action of quotient of congruence subgroups on moduli space

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#elliptic-curves #moduli-space #modular-forms #elliptic-modular-form
1.2k
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Curves of arithmetic genus $1$

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#algebraic-geometry #elliptic-curves #algebraic-curves
256
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How did operations on elliptic curves appear naturally in math history?

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#group-theory #number-theory #math-history #elliptic-curves
967
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Elliptic Curve Group Cycle At Inflection Point?

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#elliptic-curves
174
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Solving $x^4+y^4+z^4 =t^2$ via elliptic curves

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#number-theory #diophantine-equations #elliptic-curves #pythagorean-triples
84
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How can I calculate a Point $P \in E(a, b, \mathbb{F}_p)$ of order $3$

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#abstract-algebra #polynomials #elliptic-curves #cryptography #elliptic-functions
137
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Does this sequence associated to the prime numbers have a name and/or where can I learn more about it?

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#reference-request #prime-numbers #terminology #elliptic-curves

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