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2026-10-09 11:07:49 UTC · Matej Jurasić

submitted curve #4089 — rank ≥ 28, log |Δ| = 298.12 ★ record for rank ≥ 28: discriminant, Faltings height, naive height
2026-10-09 11:07:27 UTC · Matej Jurasić

commented on curve #4088

Specialization at T = 1607/3549 of a rank-16 fibration of X1152 (two neighbour steps from the one in curve#3856).
2026-10-09 11:07:27 UTC · Matej Jurasić

submitted curve #4088 — rank ≥ 29, log |Δ| = 318.68 ★ record for rank ≥ 29: discriminant, Faltings height, naive height
2026-10-09 06:41:08 UTC · jesper-petersen

commented on curve #4087

Found using a Tate-normal-form discriminant sieve.
2026-10-09 06:41:08 UTC · jesper-petersen

submitted curve #4087 — rank ≥ 6, torsion ℤ/4ℤ, log |Δ| = 73.23 ☆ record for ℤ/4ℤ torsion, rank ≥ 6: conductor
2026-10-09 06:39:52 UTC · jesper-petersen

commented on curve #4086

Found using a Tate-normal-form discriminant sieve.
2026-10-09 06:39:52 UTC · jesper-petersen

submitted curve #4086 — rank ≥ 6, torsion ℤ/4ℤ, log |Δ| = 69.32 ☆ record for ℤ/4ℤ torsion, rank ≥ 6: discriminant, Faltings height, naive height
2026-10-09 05:51:49 UTC · jesper-petersen

commented on curve #4085

Small-discriminant Z/4Z curve found by searching Tate normal form with a Nagao-type sieve.
2026-10-09 05:51:49 UTC · jesper-petersen

submitted curve #4085 — rank ≥ 5, torsion ℤ/4ℤ, log |Δ| = 51.91 ☆ record for ℤ/4ℤ torsion, rank ≥ 5: discriminant
2026-10-09 05:51:41 UTC · wgxli

commented on curve #4084

2-isogenous to curve #4083
2026-10-09 05:51:40 UTC · wgxli

submitted curve #4084 — rank ≥ 20, torsion ℤ/2ℤ, log |Δ| = 356.17
2026-10-09 05:49:50 UTC · wgxli

commented on curve #4083

specialization at T = 11549/23696 of the rank-9 fibration of X808 given by: y^2 + (4224T^2 + 29864T - 18691)xy = x(x + (289T + 239)(45 - T)(5329T + 21775)(T + 6))(x + (169T + 874)(4489T + 5852)(7 - T)T).
2026-10-09 05:49:50 UTC · wgxli

submitted curve #4083 — rank ≥ 20, torsion ℤ/2ℤ, log |Δ| = 357.04
2026-10-09 05:46:51 UTC · wgxli

commented on curve #4082

2-isogenous to curve #4078
2026-10-09 05:46:51 UTC · wgxli

submitted curve #4082 — rank ≥ 20, torsion ℤ/2ℤ, log |Δ| = 350.13
2026-10-09 05:39:38 UTC · jesper-petersen

commented on curve #4081

Small-discriminant Z/4Z curve found by searching Tate normal form with a Nagao-type sieve.
2026-10-09 05:39:38 UTC · jesper-petersen

submitted curve #4081 — rank ≥ 4, torsion ℤ/4ℤ, log |Δ| = 36.48 ☆ record for ℤ/4ℤ torsion, rank ≥ 4: discriminant
2026-10-09 05:33:33 UTC · wgxli

commented on curve #4080

2-isogenous to curve #4079
2026-10-09 05:33:33 UTC · wgxli

submitted curve #4080 — rank ≥ 20, torsion ℤ/2ℤ, log |Δ| = 350.70
2026-10-09 05:31:20 UTC · wgxli

commented on curve #4079

specialization at T = -12396/65165 of the rank-9 fibration of X720 given by: y^2 + (504T^2 - 8334T - 1499)xy = x(x + (445T - 87)(127T - 4)(25T + 3)(89T + 168))(x + (583T - 196)(T - 13)(5T + 22)(253T + 29)).
2026-10-09 05:31:20 UTC · wgxli

submitted curve #4079 — rank ≥ 20, torsion ℤ/2ℤ, log |Δ| = 350.92
2026-10-09 05:29:49 UTC · wgxli

commented on curve #4078

specialization at T = 2783/971425 of the rank-9 fibration of X808 given by: y^2 + 84(35397T^2 - 221T + 20)xy = x(x + (1139T + 115)(1269T - 59)(3776T + 34)(539T - 5))(x + 8(638T - 23)(250T - 1)(7811T + 499)).
2026-10-09 05:29:49 UTC · wgxli

submitted curve #4078 — rank ≥ 20, torsion ℤ/2ℤ, log |Δ| = 342.63
2026-10-09 05:01:21 UTC · wgxli

commented on curve #4077

2-isogenous to curve #4076
2026-10-09 05:01:21 UTC · wgxli

submitted curve #4077 — rank ≥ 21, torsion ℤ/2ℤ, log |Δ| = 384.88
2026-10-09 04:59:18 UTC · wgxli

commented on curve #4076

specialization at T = -83339/23895 of the rank-9 fibration of X1008 given by: y^2 + (7920T^2 + 62574T - 34198)xy = x(x + (-50T - 56)(512T + 71)(6241T - 764)(T + 61))(x - 2(625T - 67)(T + 8)(32T + 67)(6889T + 17269)).
2026-10-09 04:59:18 UTC · wgxli

submitted curve #4076 — rank ≥ 21, torsion ℤ/2ℤ, log |Δ| = 378.34
2026-10-09 04:48:49 UTC · wgxli

commented on curve #4075

2-isogenous to curve #4074
2026-10-09 04:48:49 UTC · wgxli

submitted curve #4075 — rank ≥ 20, torsion ℤ/2ℤ, log |Δ| = 368.02
2026-10-09 04:47:08 UTC · wgxli

commented on curve #4074

specialization at T = 62879/25160 of the rank-9 fibration of X808 given by: y^2 + (4224T^2 + 29864T - 18691)xy = x(x + (289T + 239)(45 - T)(5329T + 21775)(T + 6))(x + (169T + 874)(4489T + 5852)(7 - T)T).