List questions from mordell-curves

Published on 14 Jul 2020 - 4:44

132

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Mordell equation with prime-power constant

Published on 28 Jul 2020 - 9:47

407

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Mordell curves with many integral points

Published on 10 Jul 2016 - 8:15

381

Views

How to find an upper bound on the number of solutions of $y^3=x^2+4^k$

Published on 03 Mar 2017 - 11:37

64

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Which Mordell-curves have exactly $2$ integral points with large coordinates?

Published on 04 Mar 2017 - 20:24

90

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Is there an explanation for these gaps?

Published on 05 Mar 2017 - 19:57

133

Views

For which small $n$ is unknown whether the Mordell-curve has an integral point?

Published on 06 Mar 2017 - 19:10

164

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How large can the smallest integral solution of a Mordell curve be?

Published on 08 Mar 2017 - 9:03

103

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Has the Mordell-curve equation always a solution in $\mathbb Z_n$?

Published on 14 Mar 2017 - 0:05

271

Views

I think I found an error in a OEIS-sequence. What is the proper site to post it?

Published on 19 Mar 2017 - 10:58

473

Views

Proof that $y^2=x^3+21$ has no integral solution with elementary methods?

Published on 21 Mar 2017 - 13:57

117

Views

Are there polynomials $f,g$ with $deg(f^2-g^3)=1$?

Published on 25 Mar 2017 - 10:39

194

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Have the equations $y^2=x^3+n!$ and $y^2=x^3-n!$ infinitely many integral solutions?

Published on 28 Mar 2017 - 13:22

86

Views

Can we find such triples systematically , or is it a "lucky strike"?

Published on 03 Apr 2017 - 22:08

47

Views

Can we check efficiently whether a given integer solution of a Mordell-curve is the smallest?

Published on 05 Apr 2017 - 11:50

List Question

Mordell equation with prime-squared constant

Mordell equation with prime-power constant

Mordell curves with many integral points

How to find an upper bound on the number of solutions of $y^3=x^2+4^k$

Which Mordell-curves have exactly $2$ integral points with large coordinates?

Is there an explanation for these gaps?

For which small $n$ is unknown whether the Mordell-curve has an integral point?

How large can the smallest integral solution of a Mordell curve be?

Has the Mordell-curve equation always a solution in $\mathbb Z_n$?

I think I found an error in a OEIS-sequence. What is the proper site to post it?

Proof that $y^2=x^3+21$ has no integral solution with elementary methods?

Are there polynomials $f,g$ with $deg(f^2-g^3)=1$?

Have the equations $y^2=x^3+n!$ and $y^2=x^3-n!$ infinitely many integral solutions?

Can we find such triples systematically , or is it a "lucky strike"?

Can we check efficiently whether a given integer solution of a Mordell-curve is the smallest?

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