List questions from mordell-curves

Published on 22 Mar 2026 - 7:50

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Integer solutions of $ax^3 + bx^2 + cx - y^2 = k$

Published on 22 Mar 2026 - 20:19

113

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Finish the exercise to find or count the solutions of the equation $n x^2-\operatorname{rad}(n)=y^3$ over positive integers

Published on 17 Mar 2026 - 11:01

197

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Can I construct an integer giving many solutions to the Mordell-equation?

Published on 17 Mar 2026 - 7:06

321

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Solution to Mordell's Equation $y^2=x^3+4$

Published on 22 Mar 2026 - 16:47

130

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Solving $y^2 = 4x^3 - p$, with prime $p \equiv 7 (\text{mod } 8)$

Published on 17 Mar 2026 - 10:56

275

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When does a Mordell curve have non-trivial torsion?

Published on 17 Mar 2026 - 16:47

115

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Obtaining elliptic curve solution in integers from solution in quadratic field

Published on 16 Mar 2026 - 22:48

267

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Let $E:y^2 = x^3 + 1$ be an elliptic curve. For each prime $5 \leq p \leq 13$, describe the group $E(\mathbb{F}_p)$.

Published on 16 Mar 2026 - 22:18

1k

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Solutions to the Mordell Equation modulo $p$

Published on 22 Mar 2026 - 11:24

579

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How to solve $x^2+11=y^3$?

Published on 21 Mar 2026 - 21:10

461

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How many duplication formulas exist for the Mordell curve family $Y^2-X^3=c$?

Published on 22 Mar 2026 - 7:15

869

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What is stopping every Mordell equation from having a [truly] elementary proof?

Published on 22 Mar 2026 - 18:12

282

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Solve $y^2=x^3-4$ in $x,y\in \mathbb{Z}$

Published on 22 Mar 2026 - 12:00

542

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Finding solutions to $y^2 = x^3 - 27$

Published on 22 Mar 2026 - 15:58

List Question

Integer solutions for $x^3=y^2+5$

Integer solutions of $ax^3 + bx^2 + cx - y^2 = k$

Finish the exercise to find or count the solutions of the equation $n x^2-\operatorname{rad}(n)=y^3$ over positive integers

Can I construct an integer giving many solutions to the Mordell-equation?

Solution to Mordell's Equation $y^2=x^3+4$

Solving $y^2 = 4x^3 - p$, with prime $p \equiv 7 (\text{mod } 8)$

When does a Mordell curve have non-trivial torsion?

Obtaining elliptic curve solution in integers from solution in quadratic field

Let $E:y^2 = x^3 + 1$ be an elliptic curve. For each prime $5 \leq p \leq 13$, describe the group $E(\mathbb{F}_p)$.

Solutions to the Mordell Equation modulo $p$

How to solve $x^2+11=y^3$?

How many duplication formulas exist for the Mordell curve family $Y^2-X^3=c$?

What is stopping every Mordell equation from having a [truly] elementary proof?

Solve $y^2=x^3-4$ in $x,y\in \mathbb{Z}$

Finding solutions to $y^2 = x^3 - 27$

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