A356699
Numbers k such that Mordell's equation y^2 = x^3 + k has a record number of integral solutions.
Original entry on oeis.org
1, 8, 9, 17, 225, 1025
Offset: 1
1025 is a term since the equation y^2 = x^3 + 1025 has 32 integral solutions, and the number of solutions to y^2 = x^3 + k is less than 32 for 0 < k < 1025.
A356700
Numbers k such that Mordell's equation y^2 = x^3 - k has a record number of integral solutions.
Original entry on oeis.org
1, 2, 4, 28, 116, 207, 431, 2351, 3807
Offset: 1
207 is a term since the equation y^2 = x^3 + 207 has 14 integral solutions, and the number of solutions to y^2 = x^3 - k is less than 14 for 0 < k < 207.
Original entry on oeis.org
5, 7, 10, 16, 26, 32
Offset: 1
a(6) = 32 since A356699(6) = 1025, and the equation y^2 = x^3 + 1025 has 32 integral solutions.
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