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.

377,230 curves and counting