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2026-10-10 11:29:53 UTC · Daniel Błażewicz

recorded the primes of bad reduction of curve #4130 — rank ≥ 26, log |Δ| = 274.93
2026-10-10 11:14:43 UTC · apkorte

commented on curve #4130

Specialization at T = 799/404 of the rank-17 fibration of X1008 given in curve#3594. Found by Claude (Anthropic): a Mestre-Nagao sieve over the fibration, then a 2-covering point search seeded with its generic sections.
2026-10-10 11:14:43 UTC · apkorte

submitted curve #4130 — rank ≥ 26, log |Δ| = 274.93
2026-10-10 11:09:49 UTC · apkorte

commented on curve #4129

Specialization at T = -1844/499 of the rank-17 fibration of X1008 given in curve#3594. Found by Claude (Anthropic): a Mestre-Nagao sieve over the fibration, then a 2-covering point search seeded with its generic sections.
2026-10-10 11:09:49 UTC · apkorte

submitted curve #4129 — rank ≥ 27, log |Δ| = 299.41
2026-10-10 11:08:55 UTC · apkorte

commented on curve #4128

Specialization at T = 171/170 of the rank-17 fibration of X1092 given in curve#729. Found by Claude (Anthropic): a Mestre-Nagao sieve over the fibration, then a 2-covering point search seeded with its generic sections.
2026-10-10 11:08:55 UTC · apkorte

submitted curve #4128 — rank ≥ 25, log |Δ| = 266.15
2026-10-10 00:57:17 UTC · wgxli

commented on curve #4127

2-isogenous to curve #4126
2026-10-10 00:57:17 UTC · wgxli

submitted curve #4127 — rank ≥ 20, torsion ℤ/2ℤ, log |Δ| = 323.66
2026-10-10 00:55:48 UTC · wgxli

commented on curve #4126

specialization at T = 2407/335 of the rank-9 fibration of X1152 given by: y^2 + (304044T^2 - 789584T + 138145)xy = x(x + 529(509T - 342)(7T + 12)(35T + 38)(T + 87))(x + (7147T - 5893)(2005T - 922)(575T - 243)(5T + 17)).
2026-10-10 00:55:47 UTC · wgxli

submitted curve #4126 — rank ≥ 20, torsion ℤ/2ℤ, log |Δ| = 316.79 ☆ record for ℤ/2ℤ torsion, rank ≥ 20: discriminant, Faltings height, naive height
2026-10-09 23:07:51 UTC · wgxli

commented on curve #4125

2-isogenous to curve #4124
2026-10-09 23:07:51 UTC · wgxli

submitted curve #4125 — rank ≥ 20, torsion ℤ/2ℤ, log |Δ| = 363.81 ☆ record for ℤ/2ℤ torsion, rank ≥ 20: conductor
2026-10-09 23:06:35 UTC · wgxli

commented on curve #4124

specialization at T = 13149/1928 of the rank-9 fibration of X1152 given by: y^2 + (99239T^2 + 490032T + 695248)xy = x(x + (162T + 3601)(4805 - 671T)(9386T + 15495))(x - 23(49T - 883)(55T - 27)(188T + 39)(61T + 93)).
2026-10-09 23:06:35 UTC · wgxli

submitted curve #4124 — rank ≥ 20, torsion ℤ/2ℤ, log |Δ| = 353.51 ☆ record for ℤ/2ℤ torsion, rank ≥ 20: conductor
2026-10-09 21:23:34 UTC · wgxli

commented on curve #4123

2-isogenous to curve #4122
2026-10-09 21:23:34 UTC · wgxli

submitted curve #4123 — rank ≥ 21, torsion ℤ/2ℤ, log |Δ| = 397.58
2026-10-09 21:22:10 UTC · wgxli

commented on curve #4122

specialization at T = 77/159861 of the rank-9 fibration of X1152 given by: y^2 + (686021T^2 + 247258T - 9723)xy = x(x + (179T - 128)(447511 - 870090T)(66T + 113))(x + (1495T - 1654)(2139T - 562)(98T - 29)(153T + 116)).
2026-10-09 21:22:10 UTC · wgxli

submitted curve #4122 — rank ≥ 21, torsion ℤ/2ℤ, log |Δ| = 403.75
2026-10-09 20:20:43 UTC · wgxli

commented on curve #4121

2-isogenous to curve #4120
2026-10-09 20:20:43 UTC · wgxli

submitted curve #4121 — rank ≥ 21, torsion ℤ/2ℤ, log |Δ| = 372.59 ☆ record for ℤ/2ℤ torsion, rank ≥ 21: conductor
2026-10-09 20:19:28 UTC · wgxli

commented on curve #4120

specialization at T = -69701/5921 of the rank-9 fibration of X1152 given by: y^2 + (8764T^2 - 671960T + 487701)xy = x(x + (283T - 1919)(27T - 83)(T - 32)(8709T + 279467))(x + 529(69T - 338)(3T + 38)(17T + 149)(87T + 884)).
2026-10-09 20:19:28 UTC · wgxli

submitted curve #4120 — rank ≥ 21, torsion ℤ/2ℤ, log |Δ| = 364.35 ☆ record for ℤ/2ℤ torsion, rank ≥ 21: conductor, discriminant, Faltings height, naive height
2026-10-09 17:52:32 UTC · wgxli

commented on curve #4119

2-isogenous to curve #4118
2026-10-09 17:52:32 UTC · wgxli

submitted curve #4119 — rank ≥ 22, torsion ℤ/2ℤ, log |Δ| = 396.29 ☆ record for ℤ/2ℤ torsion, rank ≥ 22: conductor
2026-10-09 17:51:08 UTC · wgxli

commented on curve #4118

specialization at T = -97053/246469 of the rank-9 fibration of X1008 given by: y^2 + (288708T^2 + 90128T + 5816)xy = x(x + (506T - 173)(27T - 97)(73T - 12)(5093T + 1977))(x + 4(4779T - 1945)(T - 48)(59T - 17)(199T + 80)).
2026-10-09 17:51:08 UTC · wgxli

submitted curve #4118 — rank ≥ 22, torsion ℤ/2ℤ, log |Δ| = 391.85 ☆ record for ℤ/2ℤ torsion, rank ≥ 22: conductor, discriminant, Faltings height, naive height
2026-10-09 15:58:07 UTC · NDElkies

commented on curve #4117

Smallest naïve height H of the 5 curves with H < 2^100 and this MW group. This curve is [a,b,a*b,0,0] with (a,b)=(127, -15857). Curves 2-5 are at (a,b)=(265,-2959) [curve#4114], (80, 81205/4) [curve#1685], (165, 16215) [curve#1652], and (288, 60409/4).
2026-10-09 15:37:20 UTC · NDElkies

commented on curve #4117

Smallest naïve height H of the 5 curves with H < 2^100 and this MW group. This curve is [a,b,a*b,0,0] with (a,b)=(127, -15857). Curves 2-5 are at (a,b)=(265,-2959) [curve#4114], (80, 81205/4) [curve#1685], (165, 16215) [curve#1652], and (288, 60409/4).
2026-10-09 15:36:53 UTC · NDElkies

commented on curve #4117

Smallest naïve height H of the 5 curves with H < 2^100 and this MW group. This curve is [a,b,a*b,0,0] with (a,b)=(127, -15857). Curves 2-5 are at (a,b)=(265,-2959) [curve#4114], (80, 81205/4) [curve#1685], (165, 16215) [curve#1652], and (288, 60409/4)