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2026-09-26 20:25:42 UTC · David Renshaw

submitted curve #2860 — rank ≥ 1, torsion ℤ/10ℤ, log |Δ| = 46.51
2026-09-26 20:25:41 UTC · Natanael Wildner Fraga

commented on curve #2859

MacLeod (2012). Source: https://dujella.github.io/tors/z8old5.html (curve entry 4). Published independent points; exact point coordinates checked.
2026-09-26 20:25:41 UTC · Natanael Wildner Fraga

submitted curve #2859 — rank ≥ 5, torsion ℤ/8ℤ, log |Δ| = 189.76
2026-09-26 20:25:37 UTC · Natanael Wildner Fraga

commented on curve #2858

Dujella - Lecacheux (2002). Source: https://dujella.github.io/tors/z2z6old5.html (curve entry 2). Published independent points; exact point coordinates checked.
2026-09-26 20:25:37 UTC · Natanael Wildner Fraga

submitted curve #2858 — rank ≥ 5, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 191.48
2026-09-26 20:25:34 UTC · Natanael Wildner Fraga

commented on curve #2857

Elkies (2006). Source: https://dujella.github.io/tors/z7old5.html (curve entry 4). Published independent points; exact point coordinates checked.
2026-09-26 20:25:33 UTC · David Renshaw

commented on curve #2856

Cremona 61770bi1 = LMFDB 61770.be3: https://www.lmfdb.org/EllipticCurve/Q/61770/be/3 Mordell–Weil rank exactly 1 (Cremona's tables). Conductor 61770, minimal discriminant -36104958351360000000000, torsion ℤ/10ℤ. The witness is the generator from Cremona's tables.
2026-09-26 20:25:33 UTC · David Renshaw

submitted curve #2856 — rank ≥ 1, torsion ℤ/10ℤ, log |Δ| = 51.94
2026-09-26 20:25:33 UTC · Natanael Wildner Fraga

submitted curve #2857 — rank ≥ 5, torsion ℤ/7ℤ, log |Δ| = 190.92
2026-09-26 20:25:30 UTC · Natanael Wildner Fraga

commented on curve #2855

Voznyy (2021). Source: https://dujella.github.io/tors/z8old5.html (curve entry 31). Published independent points; exact point coordinates checked.
2026-09-26 20:25:30 UTC · Natanael Wildner Fraga

submitted curve #2855 — rank ≥ 5, torsion ℤ/8ℤ, log |Δ| = 194.77
2026-09-26 20:25:26 UTC · Natanael Wildner Fraga

commented on curve #2854

Voznyy (2021). Source: https://dujella.github.io/tors/z2z6old5.html (curve entry 18). Published independent points; exact point coordinates checked.
2026-09-26 20:25:26 UTC · Natanael Wildner Fraga

submitted curve #2854 — rank ≥ 5, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 206.76
2026-09-26 20:25:22 UTC · Natanael Wildner Fraga

commented on curve #2853

Dujella - Kazalicki - Peral (2021). Source: https://dujella.github.io/tors/z8old5.html (curve entry 59). Published independent points; exact point coordinates checked.
2026-09-26 20:25:22 UTC · Natanael Wildner Fraga

submitted curve #2853 — rank ≥ 5, torsion ℤ/8ℤ, log |Δ| = 192.63
2026-09-26 20:25:21 UTC · David Renshaw

commented on curve #2852

Cremona 6279i4 = LMFDB 6279.f2: https://www.lmfdb.org/EllipticCurve/Q/6279/f/2 Mordell–Weil rank exactly 1 (Cremona's tables). Conductor 6279, minimal discriminant 74465610327927, torsion ℤ/8ℤ. The witness is the generator from Cremona's tables.
2026-09-26 20:25:21 UTC · David Renshaw

submitted curve #2852 — rank ≥ 1, torsion ℤ/8ℤ, log |Δ| = 31.94
2026-09-26 20:25:19 UTC · Natanael Wildner Fraga

commented on curve #2851

Voznyy (2021). Source: https://dujella.github.io/tors/z2z6old5.html (curve entry 25). Published independent points; exact point coordinates checked.
2026-09-26 20:25:18 UTC · Natanael Wildner Fraga

submitted curve #2851 — rank ≥ 5, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 199.79
2026-09-26 20:25:15 UTC · Natanael Wildner Fraga

commented on curve #2850

Elkies (2006). Source: https://dujella.github.io/tors/z7old5.html (curve entry 5). Published independent points; exact point coordinates checked.
2026-09-26 20:25:15 UTC · Natanael Wildner Fraga

submitted curve #2850 — rank ≥ 5, torsion ℤ/7ℤ, log |Δ| = 202.40
2026-09-26 20:25:12 UTC · David Renshaw

commented on curve #2849

Cremona 18690m1 = LMFDB 18690.l5: https://www.lmfdb.org/EllipticCurve/Q/18690/l/5 Mordell–Weil rank exactly 1 (Cremona's tables). Conductor 18690, minimal discriminant 192320100000000, torsion ℤ/8ℤ. The witness is the generator from Cremona's tables.
2026-09-26 20:25:12 UTC · David Renshaw

submitted curve #2849 — rank ≥ 1, torsion ℤ/8ℤ, log |Δ| = 32.89
2026-09-26 20:25:11 UTC · Natanael Wildner Fraga

commented on curve #2848

Dujella - Kazalicki - Peral (2021). Source: https://dujella.github.io/tors/z8old5.html (curve entry 46). Published independent points; exact point coordinates checked.
2026-09-26 20:25:11 UTC · Natanael Wildner Fraga

submitted curve #2848 — rank ≥ 5, torsion ℤ/8ℤ, log |Δ| = 196.01
2026-09-26 20:25:07 UTC · Natanael Wildner Fraga

commented on curve #2847

Voznyy (2022). Source: https://dujella.github.io/tors/z2z6old5.html (curve entry 74). Published independent points; exact point coordinates checked.
2026-09-26 20:25:07 UTC · Natanael Wildner Fraga

submitted curve #2847 — rank ≥ 5, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 202.88
2026-09-26 20:25:03 UTC · Natanael Wildner Fraga

commented on curve #2846

Voznyy (2022). Source: https://dujella.github.io/tors/z2z6old5.html (curve entry 75). Published independent points; exact point coordinates checked.
2026-09-26 20:25:03 UTC · Natanael Wildner Fraga

submitted curve #2846 — rank ≥ 5, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 202.59
2026-09-26 20:25:02 UTC · David Renshaw

commented on curve #2845

Cremona 305040s3 = LMFDB 305040.s1: https://www.lmfdb.org/EllipticCurve/Q/305040/s/1 Mordell–Weil rank exactly 3 (Cremona's tables). Conductor 305040, minimal discriminant 34895795097600, torsion ℤ/4ℤ. The witnesses are the generators from Cremona's tables.