A309170 Least nonnegative integer k such that the rank of the elliptic curve y^2 = x^3 + (4*k^2 + 12*k - 3)*x^2 + 32*(k+3)*x is n.

0, 4, 34, 424

Offset

0,2

Links

Table of n, a(n) for n=0..3.

Andrew Bremner, Allan Macleod, An unusual cubic representation problem, Annales Mathematicae et Informaticae, 43(2014), pp.29-41. (See Section 3.)

Prog

(PARI) {a(n) = my(k=0); while(ellanalyticrank(ellinit([0, 4*k^2+12*k-3, 0, 32*(k+3), 0]))[1]<>n, k++); k}

Crossrefs

Cf. A309168, A309178.

Sequence in context: A158839 A236964 A145349 * A338163 A052630 A071213

Adjacent sequences: A309167 A309168 A309169 * A309171 A309172 A309173

Keyword

nonn,more

Author

Seiichi Manyama, Jul 15 2019

Status

approved