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2026-09-26 20:44:54 UTC · David Renshaw

commented on curve #3244

Cremona 345856c1 = LMFDB 345856.c2: https://www.lmfdb.org/EllipticCurve/Q/345856/c/2 Mordell–Weil rank exactly 3 (Cremona's tables). Conductor 345856, minimal discriminant 4841984, torsion ℤ/2ℤ. The witnesses are the generators from Cremona's tables.
2026-09-26 20:44:54 UTC · David Renshaw

submitted curve #3244 — rank ≥ 3, torsion ℤ/2ℤ, log |Δ| = 15.39
2026-09-26 20:44:44 UTC · David Renshaw

commented on curve #3243

Cremona 491776a1 = LMFDB 491776.a2: https://www.lmfdb.org/EllipticCurve/Q/491776/a/2 Mordell–Weil rank exactly 3 (Cremona's tables). Conductor 491776, minimal discriminant 983552, torsion ℤ/2ℤ. The witnesses are the generators from Cremona's tables.
2026-09-26 20:44:44 UTC · David Renshaw

submitted curve #3243 — rank ≥ 3, torsion ℤ/2ℤ, log |Δ| = 13.80
2026-09-26 20:44:35 UTC · David Renshaw

commented on curve #3242

Cremona 476320c1 = LMFDB 476320.c1: https://www.lmfdb.org/EllipticCurve/Q/476320/c/1 Mordell–Weil rank exactly 3 (Cremona's tables). Conductor 476320, minimal discriminant 952640, torsion ℤ/2ℤ. The witnesses are the generators from Cremona's tables.
2026-09-26 20:44:35 UTC · David Renshaw

submitted curve #3242 — rank ≥ 3, torsion ℤ/2ℤ, log |Δ| = 13.77
2026-09-26 20:44:25 UTC · David Renshaw

commented on curve #3241

Cremona 278499a1 = LMFDB 278499.a2: https://www.lmfdb.org/EllipticCurve/Q/278499/a/2 Mordell–Weil rank exactly 3 (Cremona's tables). Conductor 278499, minimal discriminant 835497, torsion ℤ/2ℤ. The witnesses are the generators from Cremona's tables.
2026-09-26 20:44:25 UTC · David Renshaw

submitted curve #3241 — rank ≥ 3, torsion ℤ/2ℤ, log |Δ| = 13.64
2026-09-26 20:44:15 UTC · David Renshaw

commented on curve #3240

Cremona 103525c1 = LMFDB 103525.a2: https://www.lmfdb.org/EllipticCurve/Q/103525/a/2 Mordell–Weil rank exactly 3 (Cremona's tables). Conductor 103525, minimal discriminant 517625, torsion ℤ/2ℤ. The witnesses are the generators from Cremona's tables.
2026-09-26 20:44:15 UTC · David Renshaw

submitted curve #3240 — rank ≥ 3, torsion ℤ/2ℤ, log |Δ| = 13.16
2026-09-26 20:44:09 UTC · Natanael Wildner Fraga

commented on curve #3239

Voznyy (2024). Source: https://dujella.github.io/tors/z2old141516171819.html (curve entry 10). Published independent points; exact point coordinates checked.
2026-09-26 20:44:09 UTC · Natanael Wildner Fraga

submitted curve #3239 — rank ≥ 18, torsion ℤ/2ℤ, log |Δ| = 300.23
2026-09-26 20:44:05 UTC · David Renshaw

commented on curve #3238

Cremona 81328c1 = LMFDB 81328.b2: https://www.lmfdb.org/EllipticCurve/Q/81328/b/2 Mordell–Weil rank exactly 3 (Cremona's tables). Conductor 81328, minimal discriminant -67664896, torsion ℤ/2ℤ. The witnesses are the generators from Cremona's tables.
2026-09-26 20:44:05 UTC · David Renshaw

submitted curve #3238 — rank ≥ 3, torsion ℤ/2ℤ, log |Δ| = 18.03
2026-09-26 20:44:04 UTC · Natanael Wildner Fraga

commented on curve #3237

2-isogenous image of D-z2old141516171819-010, rational kernel x=-3636882190631092911148. Source: https://dujella.github.io/tors/z2old141516171819.html. Independent witness points transported by the degree-2 isogeny. Witnesses saturated by exact rational halves of published and tr…
2026-09-26 20:44:04 UTC · Natanael Wildner Fraga

submitted curve #3237 — rank ≥ 18, torsion ℤ/2ℤ, log |Δ| = 300.20
2026-09-26 20:44:00 UTC · Natanael Wildner Fraga

commented on curve #3236

Voznyy (2024). Source: https://dujella.github.io/tors/z2old141516171819.html (curve entry 9). Published independent points; exact point coordinates checked.
2026-09-26 20:44:00 UTC · Natanael Wildner Fraga

submitted curve #3236 — rank ≥ 18, torsion ℤ/2ℤ, log |Δ| = 312.31
2026-09-26 20:43:57 UTC · Natanael Wildner Fraga

commented on curve #3235

Voznyy (2024). Source: https://dujella.github.io/tors/z2old141516171819.html (curve entry 8). Published independent points; exact point coordinates checked.
2026-09-26 20:43:56 UTC · David Renshaw

commented on curve #3234

Cremona 14705a1 = LMFDB 14705.a1: https://www.lmfdb.org/EllipticCurve/Q/14705/a/1 Mordell–Weil rank exactly 2 (Cremona's tables). Conductor 14705, minimal discriminant 14705, torsion ℤ/2ℤ. The witnesses are the generators from Cremona's tables.
2026-09-26 20:43:56 UTC · David Renshaw

submitted curve #3234 — rank ≥ 2, torsion ℤ/2ℤ, log |Δ| = 9.60
2026-09-26 20:43:56 UTC · Natanael Wildner Fraga

submitted curve #3235 — rank ≥ 18, torsion ℤ/2ℤ, log |Δ| = 311.92
2026-09-26 20:43:53 UTC · Natanael Wildner Fraga

commented on curve #3233

2-isogenous image of D-z2old141516171819-008, rational kernel x=43921119967229347350882. Source: https://dujella.github.io/tors/z2old141516171819.html. Independent witness points transported by the degree-2 isogeny. Witnesses saturated by exact rational halves of published and tr…
2026-09-26 20:43:53 UTC · Natanael Wildner Fraga

submitted curve #3233 — rank ≥ 18, torsion ℤ/2ℤ, log |Δ| = 319.79
2026-09-26 20:43:47 UTC · Natanael Wildner Fraga

commented on curve #3232

2-isogenous image of D-z2old141516171819-009, rational kernel x=-22151565406308899719131. Source: https://dujella.github.io/tors/z2old141516171819.html. Independent witness points transported by the degree-2 isogeny. Witnesses saturated by exact rational halves of published and t…
2026-09-26 20:43:47 UTC · Natanael Wildner Fraga

submitted curve #3232 — rank ≥ 18, torsion ℤ/2ℤ, log |Δ| = 313.66
2026-09-26 20:43:46 UTC · David Renshaw

commented on curve #3231

Cremona 4352h1 = LMFDB 4352.a2: https://www.lmfdb.org/EllipticCurve/Q/4352/a/2 Mordell–Weil rank exactly 2 (Cremona's tables). Conductor 4352, minimal discriminant 8704, torsion ℤ/2ℤ. The witnesses are the generators from Cremona's tables.
2026-09-26 20:43:46 UTC · David Renshaw

submitted curve #3231 — rank ≥ 2, torsion ℤ/2ℤ, log |Δ| = 9.07
2026-09-26 20:43:43 UTC · Natanael Wildner Fraga

commented on curve #3230

Voznyy (2023). Source: https://dujella.github.io/tors/z2old141516171819.html (curve entry 6). Published independent points; exact point coordinates checked.
2026-09-26 20:43:43 UTC · Natanael Wildner Fraga

submitted curve #3230 — rank ≥ 18, torsion ℤ/2ℤ, log |Δ| = 314.67