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Some interesting Mordell curves y^2=x^3+k:
107122676734733201 a prime number and rank 12 curve which is the sum of a positive cube and a square in 14 different ways.
-256624626608047 the lowest known (absolute) value for a rank 11 curve.
498161054639484225 with 106 integral points and the lowest known regulator for a rank 8 Mordell curve.
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