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2026-09-26 20:23:25 UTC · David Renshaw

submitted curve #2810 — rank ≥ 3, torsion ℤ/2ℤ, log |Δ| = 15.26
2026-09-26 20:23:22 UTC · Natanael Wildner Fraga

submitted curve #2808 — rank ≥ 4, log |Δ| = 14.25
2026-09-26 20:23:19 UTC · Natanael Wildner Fraga

commented on curve #2807

van Beek (2015). Source: https://dujella.github.io/tors/z9.html (curve entry 3). Published independent points; exact point coordinates checked.
2026-09-26 20:23:18 UTC · Natanael Wildner Fraga

submitted curve #2807 — rank ≥ 4, torsion ℤ/9ℤ, log |Δ| = 233.79
2026-09-26 20:23:16 UTC · David Renshaw

commented on curve #2806

Cremona 2742c1 = LMFDB 2742.a2: https://www.lmfdb.org/EllipticCurve/Q/2742/a/2 Mordell–Weil rank exactly 2 (Cremona's tables). Conductor 2742, minimal discriminant 16452, torsion ℤ/2ℤ. The witnesses are the generators from Cremona's tables.
2026-09-26 20:23:16 UTC · David Renshaw

submitted curve #2806 — rank ≥ 2, torsion ℤ/2ℤ, log |Δ| = 9.71
2026-09-26 20:23:14 UTC · Natanael Wildner Fraga

commented on curve #2805

Dujella (2008). Source: https://dujella.github.io/tors/z10.html (curve entry 6). Published independent points; exact point coordinates checked.
2026-09-26 20:23:14 UTC · Natanael Wildner Fraga

submitted curve #2805 — rank ≥ 4, torsion ℤ/10ℤ, log |Δ| = 264.02
2026-09-26 20:23:11 UTC · Natanael Wildner Fraga

submitted curve #2804 — rank ≥ 4, log |Δ| = 14.37
2026-09-26 20:23:07 UTC · Natanael Wildner Fraga

commented on curve #2803

Dujella - Petricevic (2021). Source: https://dujella.github.io/tors/z9.html (curve entry 5). Published independent points; exact point coordinates checked.
2026-09-26 20:23:07 UTC · Natanael Wildner Fraga

submitted curve #2803 — rank ≥ 4, torsion ℤ/9ℤ, log |Δ| = 248.42
2026-09-26 20:23:06 UTC · David Renshaw

commented on curve #2802

Cremona 2725d1 = LMFDB 2725.a1: https://www.lmfdb.org/EllipticCurve/Q/2725/a/1 Mordell–Weil rank exactly 2 (Cremona's tables). Conductor 2725, minimal discriminant 13625, torsion ℤ/2ℤ. The witnesses are the generators from Cremona's tables.
2026-09-26 20:23:06 UTC · David Renshaw

submitted curve #2802 — rank ≥ 2, torsion ℤ/2ℤ, log |Δ| = 9.52
2026-09-26 20:23:04 UTC · Natanael Wildner Fraga

commented on curve #2801

2-isogenous to curve#1608 via the rational 2-torsion point x=-195705. Independent witness points are the images of that curve's witnesses under the degree-2 isogeny. Witnesses saturated by exact rational halves of published and transported relations; quadratic-character independe…
2026-09-26 20:23:04 UTC · Natanael Wildner Fraga

submitted curve #2801 — rank ≥ 4, torsion ℤ/6ℤ, log |Δ| = 73.87
2026-09-26 20:23:00 UTC · Natanael Wildner Fraga

commented on curve #2800

2-isogenous to curve#849 via the rational 2-torsion point x=-1459. Independent witness points are the images of that curve's witnesses under the degree-2 isogeny. Witnesses saturated by exact rational halves of published and transported relations; quadratic-character independence…
2026-09-26 20:23:00 UTC · Natanael Wildner Fraga

submitted curve #2800 — rank ≥ 4, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 51.22
2026-09-26 20:22:57 UTC · Natanael Wildner Fraga

submitted curve #2799 — rank ≥ 4, log |Δ| = 14.60
2026-09-26 20:22:56 UTC · David Renshaw

commented on curve #2798

Cremona 2454b1 = LMFDB 2454.a1: https://www.lmfdb.org/EllipticCurve/Q/2454/a/1 Mordell–Weil rank exactly 2 (Cremona's tables). Conductor 2454, minimal discriminant 14724, torsion ℤ/2ℤ. The witnesses are the generators from Cremona's tables.
2026-09-26 20:22:56 UTC · David Renshaw

submitted curve #2798 — rank ≥ 2, torsion ℤ/2ℤ, log |Δ| = 9.60
2026-09-26 20:22:53 UTC · Natanael Wildner Fraga

commented on curve #2797

Dujella - Petricevic - Rathbun (2022). Source: https://dujella.github.io/tors/z9.html (curve entry 6). Published independent points; exact point coordinates checked.
2026-09-26 20:22:53 UTC · Natanael Wildner Fraga

submitted curve #2797 — rank ≥ 4, torsion ℤ/9ℤ, log |Δ| = 261.93
2026-09-26 20:22:49 UTC · Natanael Wildner Fraga

commented on curve #2796

Dujella (2008). Source: https://dujella.github.io/tors/z10.html (curve entry 4). Published independent points; exact point coordinates checked.
2026-09-26 20:22:49 UTC · Natanael Wildner Fraga

submitted curve #2796 — rank ≥ 4, torsion ℤ/10ℤ, log |Δ| = 263.44
2026-09-26 20:22:46 UTC · David Renshaw

commented on curve #2795

Cremona 199728a2 = LMFDB 199728.b2: https://www.lmfdb.org/EllipticCurve/Q/199728/b/2 Mordell–Weil rank exactly 3 (Cremona's tables). Conductor 199728, minimal discriminant 51699091083264, torsion ℤ/2ℤ × ℤ/2ℤ. The witnesses are the generators from Cremona's tables.
2026-09-26 20:22:46 UTC · David Renshaw

submitted curve #2795 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 31.58
2026-09-26 20:22:45 UTC · Natanael Wildner Fraga

commented on curve #2794

Voznyy (2026). Source: https://dujella.github.io/tors/z9.html (curve entry 7). Published independent points; exact point coordinates checked.
2026-09-26 20:22:45 UTC · Natanael Wildner Fraga

submitted curve #2794 — rank ≥ 4, torsion ℤ/9ℤ, log |Δ| = 305.99
2026-09-26 20:22:41 UTC · Natanael Wildner Fraga

commented on curve #2793

Dujella (2008). Source: https://dujella.github.io/tors/z10.html (curve entry 5). Published independent points; exact point coordinates checked.
2026-09-26 20:22:41 UTC · Natanael Wildner Fraga

submitted curve #2793 — rank ≥ 4, torsion ℤ/10ℤ, log |Δ| = 268.46