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2026-09-26 20:34:38 UTC · David Renshaw

commented on curve #3043

Cremona 115430r1 = LMFDB 115430.k3: https://www.lmfdb.org/EllipticCurve/Q/115430/k/3 Mordell–Weil rank exactly 2 (Cremona's tables). Conductor 115430, minimal discriminant 23351489000000, torsion ℤ/6ℤ. The witnesses are the generators from Cremona's tables.
2026-09-26 20:34:38 UTC · David Renshaw

submitted curve #3043 — rank ≥ 2, torsion ℤ/6ℤ, log |Δ| = 30.78
2026-09-26 20:34:36 UTC · Natanael Wildner Fraga

commented on curve #3042

Dujella - Lecacheux (2009). Source: https://dujella.github.io/tors/z5old678.html (curve entry 4). Published independent points; exact point coordinates checked.
2026-09-26 20:34:36 UTC · Natanael Wildner Fraga

submitted curve #3042 — rank ≥ 8, torsion ℤ/5ℤ, log |Δ| = 208.21
2026-09-26 20:34:33 UTC · Natanael Wildner Fraga

commented on curve #3041

Dujella - Peral (2012). Source: https://dujella.github.io/tors/z2z4old678.html (curve entry 6). Published independent points; exact point coordinates checked.
2026-09-26 20:34:33 UTC · Natanael Wildner Fraga

submitted curve #3041 — rank ≥ 8, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 218.12
2026-09-26 20:34:29 UTC · David Renshaw

commented on curve #3040

Cremona 20130g1 = LMFDB 20130.e3: https://www.lmfdb.org/EllipticCurve/Q/20130/e/3 Mordell–Weil rank exactly 2 (Cremona's tables). Conductor 20130, minimal discriminant -17259290492400, torsion ℤ/6ℤ. The witnesses are the generators from Cremona's tables.
2026-09-26 20:34:29 UTC · Natanael Wildner Fraga

commented on curve #3039

Dujella - Peral (2019). Source: https://dujella.github.io/tors/z2z4old678.html (curve entry 17). Published independent points; exact point coordinates checked.
2026-09-26 20:34:29 UTC · Natanael Wildner Fraga

submitted curve #3039 — rank ≥ 8, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 217.99
2026-09-26 20:34:29 UTC · David Renshaw

submitted curve #3040 — rank ≥ 2, torsion ℤ/6ℤ, log |Δ| = 30.48
2026-09-26 20:34:25 UTC · Natanael Wildner Fraga

commented on curve #3038

2-isogenous image of D-z2z4old678-023, rational kernel x=1980591661228. Source: https://dujella.github.io/tors/z2z4old678.html. Independent witness points transported by the degree-2 isogeny. Witnesses saturated by exact rational halves of published and transported relations; qua…
2026-09-26 20:34:25 UTC · Natanael Wildner Fraga

submitted curve #3038 — rank ≥ 8, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 178.73
2026-09-26 20:34:21 UTC · Natanael Wildner Fraga

commented on curve #3037

Dujella - Peral - Tadic (2019). Source: https://dujella.github.io/tors/z6old678.html (curve entry 30). Published independent points; exact point coordinates checked.
2026-09-26 20:34:21 UTC · Natanael Wildner Fraga

submitted curve #3037 — rank ≥ 8, torsion ℤ/6ℤ, log |Δ| = 206.93
2026-09-26 20:34:19 UTC · David Renshaw

commented on curve #3036

Cremona 86870g1 = LMFDB 86870.b3: https://www.lmfdb.org/EllipticCurve/Q/86870/b/3 Mordell–Weil rank exactly 2 (Cremona's tables). Conductor 86870, minimal discriminant 4219469620100, torsion ℤ/6ℤ. The witnesses are the generators from Cremona's tables.
2026-09-26 20:34:19 UTC · David Renshaw

submitted curve #3036 — rank ≥ 2, torsion ℤ/6ℤ, log |Δ| = 29.07
2026-09-26 20:34:18 UTC · Natanael Wildner Fraga

commented on curve #3035

Dujella - Peral (2020). Source: https://dujella.github.io/tors/z6old678.html (curve entry 52). Published independent points; exact point coordinates checked.
2026-09-26 20:34:18 UTC · Natanael Wildner Fraga

submitted curve #3035 — rank ≥ 8, torsion ℤ/6ℤ, log |Δ| = 208.41
2026-09-26 20:34:14 UTC · Natanael Wildner Fraga

commented on curve #3034

2-isogenous image of D-z6old678-052, rational kernel x=-593182814314362. Source: https://dujella.github.io/tors/z6old678.html. Independent witness points transported by the degree-2 isogeny. Witnesses saturated by exact rational halves of published and transported relations; quad…
2026-09-26 20:34:14 UTC · Natanael Wildner Fraga

submitted curve #3034 — rank ≥ 8, torsion ℤ/6ℤ, log |Δ| = 212.89
2026-09-26 20:34:10 UTC · Natanael Wildner Fraga

commented on curve #3033

Dujella - Lecacheux - Petricevic (2021). Source: https://dujella.github.io/tors/z5old678.html (curve entry 11). Published independent points; exact point coordinates checked.
2026-09-26 20:34:10 UTC · Natanael Wildner Fraga

submitted curve #3033 — rank ≥ 8, torsion ℤ/5ℤ, log |Δ| = 222.89
2026-09-26 20:34:09 UTC · David Renshaw

commented on curve #3032

Cremona 310b2 = LMFDB 310.a2: https://www.lmfdb.org/EllipticCurve/Q/310/a/2 Mordell–Weil rank exactly 1 (Cremona's tables). Conductor 310, minimal discriminant 307520, torsion ℤ/6ℤ. The witness is the generator from Cremona's tables.
2026-09-26 20:34:09 UTC · David Renshaw

submitted curve #3032 — rank ≥ 1, torsion ℤ/6ℤ, log |Δ| = 12.64
2026-09-26 20:34:07 UTC · Natanael Wildner Fraga

commented on curve #3031

Dujella - Lecacheux - Petricevic (2021). Source: https://dujella.github.io/tors/z5old678.html (curve entry 9). Published independent points; exact point coordinates checked.
2026-09-26 20:34:07 UTC · Natanael Wildner Fraga

submitted curve #3031 — rank ≥ 8, torsion ℤ/5ℤ, log |Δ| = 219.87
2026-09-26 20:34:03 UTC · Natanael Wildner Fraga

commented on curve #3030

2-isogenous to curve#1348 via the rational 2-torsion point x=12163. 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 independenc…
2026-09-26 20:34:03 UTC · Natanael Wildner Fraga

submitted curve #3030 — rank ≥ 8, torsion ℤ/2ℤ, log |Δ| = 67.90
2026-09-26 20:33:59 UTC · Natanael Wildner Fraga

commented on curve #3028

Dujella - Peral - Tadic (2019). Source: https://dujella.github.io/tors/z6old678.html (curve entry 27). Published independent points; exact point coordinates checked.
2026-09-26 20:33:59 UTC · David Renshaw

commented on curve #3029

Cremona 1260b1 = LMFDB 1260.d4: https://www.lmfdb.org/EllipticCurve/Q/1260/d/4 Mordell–Weil rank exactly 1 (Cremona's tables). Conductor 1260, minimal discriminant 3704400, torsion ℤ/6ℤ. The witness is the generator from Cremona's tables.