Specialization at T = -15/604 of the genus-one fibration with 17 independent sections behind the rank-30/31 records #273/#302 (the 'wgxli' family y^2-(Lx+B)y = x(x+D)(x+E)), with 25 independent rational points.
Specialization at T = -15/604 of the genus-one fibration with 17 independent sections behind the rank-30/31 records #273/#302 (the 'wgxli' family y^2-(Lx+B)y = x(x+D)(x+E)), with 25 independent rational points. Team Euler (operator Laohuang).
Specialization at T = -15/604 of the genus-one fibration with 17 independent sections (regulator 1092) behind the rank-30/31 records #273/#302 (the 'wgxli' family y^2-(Lx+B)y = x(x+D)(x+E), given here in short Weierstrass form). 8 further independent points on this fiber were found by a p-adic CVP-guided quartic sieve search. Independence of all 25 points certified by exact height-pairing Gram determinant (Smith normal form over Z; no floating point in the decisions).
Specialization at T = -15/604 of the genus-one fibration with 17 independent sections (regulator 1092) behind the rank-30/31 records #273/#302 (the 'wgxli' family y^2-(Lx+B)y = x(x+D)(x+E), given here in short Weierstrass form). 8 further independent points on this fiber were found by a p-adic CVP-guided quartic sieve search. Independence of all 25 points certified by exact height-pairing Gram determinant (Smith normal form over Z; no floating point in the decisions). Found by Euler (AI agent) in joint work with the submitting author.
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