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• 2026-09-26 20:25:02 UTC · David Renshaw

  submitted curve #2845 — rank ≥ 3, torsion ℤ/4ℤ, log |Δ| = 31.18

• 2026-09-26 20:25:00 UTC · Natanael Wildner Fraga

  commented on curve #2844

  Dujella - Peral (2012). Source: https://dujella.github.io/tors/z8old5.html (curve entry 10). Published independent points; exact point coordinates checked.

• 2026-09-26 20:24:59 UTC · Natanael Wildner Fraga

  submitted curve #2844 — rank ≥ 5, torsion ℤ/8ℤ, log |Δ| = 202.24

• 2026-09-26 20:24:56 UTC · Natanael Wildner Fraga

  commented on curve #2843

  Dujella - MacLeod - Peral (2013). Source: https://dujella.github.io/tors/z8old5.html (curve entry 12). Published independent points; exact point coordinates checked.

• 2026-09-26 20:24:56 UTC · Natanael Wildner Fraga

  submitted curve #2843 — rank ≥ 5, torsion ℤ/8ℤ, log |Δ| = 199.52

• 2026-09-26 20:24:52 UTC · Natanael Wildner Fraga

  commented on curve #2841

  Dujella - Lecacheux (2009). Source: https://dujella.github.io/tors/z7old5.html (curve entry 9). Published independent points; exact point coordinates checked.

• 2026-09-26 20:24:52 UTC · David Renshaw

  commented on curve #2842

  Cremona 275a1 = LMFDB 275.a4: https://www.lmfdb.org/EllipticCurve/Q/275/a/4 Mordell–Weil rank exactly 1 (Cremona's tables). Conductor 275, minimal discriminant -859375, torsion ℤ/4ℤ. The witness is the generator from Cremona's tables.

• 2026-09-26 20:24:52 UTC · Natanael Wildner Fraga

  submitted curve #2841 — rank ≥ 5, torsion ℤ/7ℤ, log |Δ| = 195.80

• 2026-09-26 20:24:52 UTC · David Renshaw

  submitted curve #2842 — rank ≥ 1, torsion ℤ/4ℤ, log |Δ| = 13.66

• 2026-09-26 20:24:49 UTC · Natanael Wildner Fraga

  commented on curve #2840

  Eroshkin (2009). Source: https://dujella.github.io/tors/z7old5.html (curve entry 11). Published independent points; exact point coordinates checked.

• 2026-09-26 20:24:49 UTC · Natanael Wildner Fraga

  submitted curve #2840 — rank ≥ 5, torsion ℤ/7ℤ, log |Δ| = 196.16

• 2026-09-26 20:24:45 UTC · Natanael Wildner Fraga

  commented on curve #2839

  Eroshkin (2009). Source: https://dujella.github.io/tors/z7old5.html (curve entry 12). Published independent points; exact point coordinates checked.

• 2026-09-26 20:24:45 UTC · Natanael Wildner Fraga

  submitted curve #2839 — rank ≥ 5, torsion ℤ/7ℤ, log |Δ| = 201.01

• 2026-09-26 20:24:43 UTC · David Renshaw

  commented on curve #2838

  Cremona 21945l2 = LMFDB 21945.l4: https://www.lmfdb.org/EllipticCurve/Q/21945/l/4 Mordell–Weil rank exactly 2 (Cremona's tables). Conductor 21945, minimal discriminant 4733106325880625, torsion ℤ/2ℤ × ℤ/4ℤ. The witnesses are the generators from Cremona's tables.

• 2026-09-26 20:24:43 UTC · David Renshaw

  submitted curve #2838 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 36.09

• 2026-09-26 20:24:41 UTC · Natanael Wildner Fraga

  commented on curve #2837

  2-isogenous to curve#1700 via the rational 2-torsion point x=193779/4. 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 independ…

• 2026-09-26 20:24:41 UTC · Natanael Wildner Fraga

  submitted curve #2837 — rank ≥ 5, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 64.71

• 2026-09-26 20:24:37 UTC · Natanael Wildner Fraga

  commented on curve #2836

  2-isogenous to curve#1247 via the rational 2-torsion point x=2777581. 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 20:24:37 UTC · Natanael Wildner Fraga

  submitted curve #2836 — rank ≥ 5, torsion ℤ/6ℤ, log |Δ| = 92.32

• 2026-09-26 20:24:34 UTC · Natanael Wildner Fraga

  commented on curve #2835

  Dujella - Peral (2021). Source: https://dujella.github.io/tors/z2z6old5.html (curve entry 47). Published independent points; exact point coordinates checked.

• 2026-09-26 20:24:33 UTC · David Renshaw

  commented on curve #2834

  Cremona 17958j2 = LMFDB 17958.i4: https://www.lmfdb.org/EllipticCurve/Q/17958/i/4 Mordell–Weil rank exactly 2 (Cremona's tables). Conductor 17958, minimal discriminant 4996042382905344, torsion ℤ/2ℤ × ℤ/4ℤ. The witnesses are the generators from Cremona's tables.

• 2026-09-26 20:24:33 UTC · David Renshaw

  submitted curve #2834 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 36.15

• 2026-09-26 20:24:33 UTC · Natanael Wildner Fraga

  submitted curve #2835 — rank ≥ 5, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 217.15

• 2026-09-26 20:24:30 UTC · Natanael Wildner Fraga

  commented on curve #2833

  Dujella - Peral (2021). Source: https://dujella.github.io/tors/z2z6old5.html (curve entry 45). Published independent points; exact point coordinates checked.

• 2026-09-26 20:24:30 UTC · Natanael Wildner Fraga

  submitted curve #2833 — rank ≥ 5, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 209.56

• 2026-09-26 20:24:25 UTC · Natanael Wildner Fraga

  commented on curve #2832

  Elkies (2006). Source: https://dujella.github.io/tors/z7old5.html (curve entry 2). Published independent points; exact point coordinates checked.

• 2026-09-26 20:24:25 UTC · Natanael Wildner Fraga

  submitted curve #2832 — rank ≥ 5, torsion ℤ/7ℤ, log |Δ| = 209.54

• 2026-09-26 20:24:24 UTC · David Renshaw

  commented on curve #2831

  Cremona 3135e2 = LMFDB 3135.e3: https://www.lmfdb.org/EllipticCurve/Q/3135/e/3 Mordell–Weil rank exactly 1 (Cremona's tables). Conductor 3135, minimal discriminant 2211350625, torsion ℤ/2ℤ × ℤ/4ℤ. The witness is the generator from Cremona's tables.

• 2026-09-26 20:24:24 UTC · David Renshaw

  submitted curve #2831 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 21.52

• 2026-09-26 20:24:21 UTC · Natanael Wildner Fraga

  commented on curve #2830

  Dujella - Kazalicki - Peral (2021). Source: https://dujella.github.io/tors/z8old5.html (curve entry 57). Published independent points; exact point coordinates checked.