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2026-10-01 08:24:38 UTC · Daniel Błażewicz

commented on curve #3590

(u,v) = (721,257) for the C2 x C4 family y^2 = x(x+u^2)(x+v^2). PARI/GP gives exact rank 4.
2026-10-01 08:21:13 UTC · Daniel Błażewicz

commented on curve #3752

(u,v) = (703,396) for the C2 x C4 family y^2 = x(x+u^2)(x+v^2). PARI/GP gives exact rank 4.
2026-10-01 08:21:13 UTC · Daniel Błażewicz

submitted curve #3752 — rank ≥ 4, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 70.06
2026-10-01 07:55:46 UTC · Daniel Błażewicz

commented on curve #3591

(u,v) = (641,79) for the C2 x C4 family y^2 = x(x+u^2)(x+v^2). PARI/GP gives exact rank 4.
2026-10-01 07:44:59 UTC · Daniel Błażewicz

commented on curve #3751

(u,v) = (559,330) for the C2 x C4 family y^2 = x(x+u^2)(x+v^2). PARI/GP gives exact rank 4.
2026-10-01 07:44:59 UTC · Daniel Błażewicz

submitted curve #3751 — rank ≥ 4, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 75.72
2026-10-01 07:26:09 UTC · Daniel Błażewicz

commented on curve #3750

(u,v) = (502,215) for the C2 x C4 family y^2 = x(x+u^2)(x+v^2). PARI/GP gives exact rank 4.
2026-10-01 07:26:09 UTC · Daniel Błażewicz

submitted curve #3750 — rank ≥ 4, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 73.60
2026-10-01 07:25:57 UTC · Daniel Błażewicz

commented on curve #3749

(u,v) = (541,228) for the C2 x C4 family y^2 = x(x+u^2)(x+v^2). PARI/GP gives exact rank 4.
2026-10-01 07:25:57 UTC · Daniel Błażewicz

submitted curve #3749 — rank ≥ 4, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 66.13 ☆ record for ℤ/2ℤ × ℤ/4ℤ torsion, rank ≥ 4: discriminant, Faltings height
2026-10-01 07:07:28 UTC · Daniel Błażewicz

commented on curve #3748

(u,v) = (473,266) for the C2 x C4 family y^2 = x(x+u^2)(x+v^2). PARI/GP gives exact rank 4.
2026-10-01 07:07:28 UTC · Daniel Błażewicz

submitted curve #3748 — rank ≥ 4, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 73.62
2026-10-01 06:31:41 UTC · Daniel Błażewicz

commented on curve #3747

(u,v) = (105,13) for the C2 x C4 family y^2 = x(x+u^2)(x+v^2). PARI/GP gives exact rank 3.
2026-10-01 06:31:41 UTC · Daniel Błażewicz

submitted curve #3747 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 50.23
2026-10-01 06:31:28 UTC · Daniel Błażewicz

commented on curve #3746

(u,v) = (106,7) for the C2 x C4 family y^2 = x(x+u^2)(x+v^2). PARI/GP gives exact rank 3.
2026-10-01 06:31:28 UTC · Daniel Błażewicz

submitted curve #3746 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 47.86
2026-10-01 06:30:55 UTC · Daniel Błażewicz

commented on curve #3745

(u,v) = (83,39) for the C2 x C4 family y^2 = x(x+u^2)(x+v^2). PARI/GP gives exact rank 3.
2026-10-01 06:30:55 UTC · Daniel Błażewicz

submitted curve #3745 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 52.28
2026-10-01 06:30:22 UTC · Daniel Błażewicz

commented on curve #3744

(u,v) = (113,31) for the C2 x C4 family y^2 = x(x+u^2)(x+v^2). PARI/GP gives exact rank 3.
2026-10-01 06:30:22 UTC · Daniel Błażewicz

submitted curve #3744 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 54.17
2026-10-01 06:29:27 UTC · Daniel Błażewicz

commented on curve #3743

(u,v) = (91,25) for the C2 x C4 family y^2 = x(x+u^2)(x+v^2). PARI/GP gives exact rank 3.
2026-10-01 06:29:27 UTC · Daniel Błażewicz

submitted curve #3743 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 51.58
2026-10-01 06:28:41 UTC · Daniel Błażewicz

commented on curve #3742

(u,v) = (89,47) for the C2 x C4 family y^2 = x(x+u^2)(x+v^2). PARI/GP gives exact rank 3.
2026-10-01 06:28:41 UTC · Daniel Błażewicz

submitted curve #3742 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 53.43
2026-10-01 06:24:59 UTC · Daniel Błażewicz

commented on curve #3741

(u,v) = (199,4) for the C2 x C4 family y^2 = x(x+u^2)(x+v^2). PARI/GP gives exact rank 3.
2026-10-01 06:24:59 UTC · Daniel Błażewicz

submitted curve #3741 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 42.35
2026-10-01 04:24:05 UTC · Daniel Błażewicz

commented on curve #3740

(u, v)=(29716, 3025) for the C2 x C4 family y^2 = x(x+u^2)(x+v^2). PARI/GP gives exact rank 5.
2026-10-01 04:20:54 UTC · Daniel Błażewicz

submitted curve #3740 — rank ≥ 5, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 108.89
2026-10-01 04:19:16 UTC · Daniel Błażewicz

commented on curve #3737

(u, v) = (266, 143) for the C2 x C4 family y^2 = x(x+u^2)(x+v^2). PARI/GP gives exact rank 4.
2026-10-01 00:55:57 UTC · Ritik Jain

submitted curve #3739 — rank ≥ 29, log |Δ| = 354.16