List questions from mordell-curves

Published on 25 Apr 2026 - 4:34

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

Published on 29 Apr 2026 - 12:43

119

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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 23 Apr 2026 - 13:37

205

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

Published on 25 Apr 2026 - 4:37

328

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

Published on 27 Apr 2026 - 6:08

136

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

Published on 23 Apr 2026 - 19:25

283

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When does a Mordell curve have non-trivial torsion?

Published on 23 Apr 2026 - 15:56

124

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Obtaining elliptic curve solution in integers from solution in quadratic field

Published on 22 Apr 2026 - 17:41

275

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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 23 Apr 2026 - 7:32

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Solutions to the Mordell Equation modulo $p$

Published on 23 Apr 2026 - 12:33

587

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

Published on 25 Apr 2026 - 4:35

469

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

Published on 27 Apr 2026 - 23:33

873

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

Published on 29 Apr 2026 - 4:06

290

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

Published on 27 Apr 2026 - 4:07

547

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

Published on 27 Apr 2026 - 20:49

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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