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2026-09-26 20:42:30 UTC · Natanael Wildner Fraga

commented on curve #3203

2-isogenous image of D-z2old141516171819-036, rational kernel x=593026323000703735/4. 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 trans…
2026-09-26 20:42:30 UTC · Natanael Wildner Fraga

submitted curve #3203 — rank ≥ 15, torsion ℤ/2ℤ, log |Δ| = 236.25
2026-09-26 20:42:26 UTC · Natanael Wildner Fraga

commented on curve #3201

2-isogenous image of D-z2old141516171819-041, rational kernel x=-5183611506357375057/4. 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 tra…
2026-09-26 20:42:26 UTC · David Renshaw

commented on curve #3202

Cremona 112a1 = LMFDB 112.a2: https://www.lmfdb.org/EllipticCurve/Q/112/a/2 Mordell–Weil rank exactly 1 (Cremona's tables). Conductor 112, minimal discriminant -7168, torsion ℤ/2ℤ. The witness is the generator from Cremona's tables.
2026-09-26 20:42:26 UTC · Natanael Wildner Fraga

submitted curve #3201 — rank ≥ 15, torsion ℤ/2ℤ, log |Δ| = 244.64
2026-09-26 20:42:26 UTC · David Renshaw

submitted curve #3202 — rank ≥ 1, torsion ℤ/2ℤ, log |Δ| = 8.88
2026-09-26 20:42:22 UTC · Natanael Wildner Fraga

commented on curve #3200

2-isogenous image of D-z2old141516171819-031, rational kernel x=13670258741780008607/4. 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 tra…
2026-09-26 20:42:22 UTC · Natanael Wildner Fraga

submitted curve #3200 — rank ≥ 15, torsion ℤ/2ℤ, log |Δ| = 258.16
2026-09-26 20:42:16 UTC · David Renshaw

commented on curve #3199

Cremona 112a2 = LMFDB 112.a1: https://www.lmfdb.org/EllipticCurve/Q/112/a/1 Mordell–Weil rank exactly 1 (Cremona's tables). Conductor 112, minimal discriminant 100352, torsion ℤ/2ℤ. The witness is the generator from Cremona's tables.
2026-09-26 20:42:16 UTC · David Renshaw

submitted curve #3199 — rank ≥ 1, torsion ℤ/2ℤ, log |Δ| = 11.52
2026-09-26 20:42:15 UTC · Natanael Wildner Fraga

commented on curve #3198

Aguirre - Peral (2009). Source: https://dujella.github.io/tors/z2old141516171819.html (curve entry 62). Published independent points; exact point coordinates checked.
2026-09-26 20:42:15 UTC · Natanael Wildner Fraga

submitted curve #3198 — rank ≥ 14, torsion ℤ/2ℤ, log |Δ| = 182.86
2026-09-26 20:42:12 UTC · Natanael Wildner Fraga

commented on curve #3197

Dujella (2001). Source: https://dujella.github.io/tors/z2old141516171819.html (curve entry 54). Published independent points; exact point coordinates checked.
2026-09-26 20:42:12 UTC · Natanael Wildner Fraga

submitted curve #3197 — rank ≥ 14, torsion ℤ/2ℤ, log |Δ| = 189.31
2026-09-26 20:42:08 UTC · Natanael Wildner Fraga

commented on curve #3196

2-isogenous image of D-z2old141516171819-062, rational kernel x=10425279415922. 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 transported…
2026-09-26 20:42:08 UTC · Natanael Wildner Fraga

submitted curve #3196 — rank ≥ 14, torsion ℤ/2ℤ, log |Δ| = 189.03
2026-09-26 20:42:07 UTC · David Renshaw

commented on curve #3195

Cremona 102a2 = LMFDB 102.a2: https://www.lmfdb.org/EllipticCurve/Q/102/a/2 Mordell–Weil rank exactly 1 (Cremona's tables). Conductor 102, minimal discriminant -46818, torsion ℤ/2ℤ. The witness is the generator from Cremona's tables.
2026-09-26 20:42:07 UTC · David Renshaw

submitted curve #3195 — rank ≥ 1, torsion ℤ/2ℤ, log |Δ| = 10.75
2026-09-26 20:42:04 UTC · Natanael Wildner Fraga

commented on curve #3194

2-isogenous image of D-z2old141516171819-072, rational kernel x=-423545465356529/4. 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 transpo…
2026-09-26 20:42:04 UTC · Natanael Wildner Fraga

submitted curve #3194 — rank ≥ 14, torsion ℤ/2ℤ, log |Δ| = 189.44
2026-09-26 20:42:01 UTC · Natanael Wildner Fraga

commented on curve #3193

Dujella (2009). Source: https://dujella.github.io/tors/z2old141516171819.html (curve entry 72). Published independent points; exact point coordinates checked.
2026-09-26 20:42:01 UTC · Natanael Wildner Fraga

submitted curve #3193 — rank ≥ 14, torsion ℤ/2ℤ, log |Δ| = 197.02
2026-09-26 20:41:58 UTC · David Renshaw

commented on curve #3192

Cremona 102a1 = LMFDB 102.a1: https://www.lmfdb.org/EllipticCurve/Q/102/a/1 Mordell–Weil rank exactly 1 (Cremona's tables). Conductor 102, minimal discriminant 612, torsion ℤ/2ℤ. The witness is the generator from Cremona's tables.
2026-09-26 20:41:58 UTC · David Renshaw

submitted curve #3192 — rank ≥ 1, torsion ℤ/2ℤ, log |Δ| = 6.42
2026-09-26 20:41:57 UTC · Natanael Wildner Fraga

commented on curve #3191

2-isogenous image of D-z2old141516171819-071, rational kernel x=15742887693283151/4. 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 transp…
2026-09-26 20:41:57 UTC · Natanael Wildner Fraga

submitted curve #3191 — rank ≥ 14, torsion ℤ/2ℤ, log |Δ| = 214.73
2026-09-26 20:41:53 UTC · Natanael Wildner Fraga

commented on curve #3190

Dujella (2009). Source: https://dujella.github.io/tors/z2old141516171819.html (curve entry 71). Published independent points; exact point coordinates checked.
2026-09-26 20:41:53 UTC · Natanael Wildner Fraga

submitted curve #3190 — rank ≥ 14, torsion ℤ/2ℤ, log |Δ| = 215.62
2026-09-26 20:41:48 UTC · David Renshaw

commented on curve #3189

Cremona 99a2 = LMFDB 99.a1: https://www.lmfdb.org/EllipticCurve/Q/99/a/1 Mordell–Weil rank exactly 1 (Cremona's tables). Conductor 99, minimal discriminant 3267, torsion ℤ/2ℤ. The witness is the generator from Cremona's tables.
2026-09-26 20:41:48 UTC · David Renshaw

submitted curve #3189 — rank ≥ 1, torsion ℤ/2ℤ, log |Δ| = 8.09