List questions from elliptic-curves

Published on 27 Mar 2026 - 4:17

62

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Definition of Tate-Shafarevich group up to isomorphism of elliptic curves

Published on 27 Mar 2026 - 4:21

299

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Quotient of Elliptic Curve $E$ homeomorphic to $\mathbb{P}^1_{\mathbb{C}}$

Published on 26 Mar 2026 - 9:19

255

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When does $(a+b\sqrt n)^3+(a-b\sqrt n)^3=c^3$ have integer solutions $(a,b,c,n)$?

Published on 30 Mar 2026 - 3:19

516

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How are elliptic curves related to ellipses?

Published on 07 Jan 2024 - 7:30

64

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Denominators of modular symbols

Published on 30 Mar 2026 - 11:16

66

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Are all supersingular elliptic curves defined over $\mathbb{F}_{p^2}$?

Published on 09 Jan 2024 - 16:53

62

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Is $\mu_p$ the only nontrivial Galois module of size $p$?

Published on 26 Mar 2026 - 12:49

74

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Addition of $n$ points on elliptic curves over a finite field

Published on 27 Mar 2026 - 7:18

89

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Are there any numbers greater than 26 that are adjacent on either side to a square and a cube?

Published on 12 Jan 2024 - 22:44

193

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Finding a function with a given divisor on a curve

Published on 15 Jan 2024 - 22:36

76

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Finding a birational transformation between elliptic curves

Published on 18 Jan 2024 - 13:33

201

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On the elliptic curve $X^3 + 6\cdot 163^2 X - 7\cdot 163^3 = Y^2$ and others

Published on 30 Mar 2026 - 15:36

69

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Do two lines passing through two (not necessarily distinct) points on an irred. cubic necessarily coincide? (Proof of Sec. 5.6, Prop. 3 in Fulton)

Published on 23 Feb 2026 - 19:44

List Question

How Galois group act on $H^1(G_L,E)$?

Definition of Tate-Shafarevich group up to isomorphism of elliptic curves

More on an unusual cubic representation problem

Quotient of Elliptic Curve $E$ homeomorphic to $\mathbb{P}^1_{\mathbb{C}}$

When does $(a+b\sqrt n)^3+(a-b\sqrt n)^3=c^3$ have integer solutions $(a,b,c,n)$?

How are elliptic curves related to ellipses?

Denominators of modular symbols

Are all supersingular elliptic curves defined over $\mathbb{F}_{p^2}$?

Is $\mu_p$ the only nontrivial Galois module of size $p$?

Addition of $n$ points on elliptic curves over a finite field

Are there any numbers greater than 26 that are adjacent on either side to a square and a cube?

Finding a function with a given divisor on a curve

Finding a birational transformation between elliptic curves

On the elliptic curve $X^3 + 6\cdot 163^2 X - 7\cdot 163^3 = Y^2$ and others

Do two lines passing through two (not necessarily distinct) points on an irred. cubic necessarily coincide? (Proof of Sec. 5.6, Prop. 3 in Fulton)

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