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2026-09-26 20:40:48 UTC · Natanael Wildner Fraga

commented on curve #3173

2-isogenous to curve#2164 via the rational 2-torsion point x=1566508746135. 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 ind…
2026-09-26 20:40:48 UTC · Natanael Wildner Fraga

submitted curve #3173 — rank ≥ 13, torsion ℤ/2ℤ, log |Δ| = 174.56
2026-09-26 20:40:44 UTC · Natanael Wildner Fraga

commented on curve #3172

Dujella - Peral (2023). Source: https://dujella.github.io/tors/z2z2old1011121314.html (curve entry 9). Published independent points; exact point coordinates checked.
2026-09-26 20:40:44 UTC · Natanael Wildner Fraga

submitted curve #3172 — rank ≥ 12, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 311.74
2026-09-26 20:40:41 UTC · Natanael Wildner Fraga

commented on curve #3171

Eroshkin (2006). Source: https://dujella.github.io/tors/z3old891011121314.html (curve entry 14). Published independent points; exact point coordinates checked.
2026-09-26 20:40:40 UTC · David Renshaw

commented on curve #3170

Cremona 185562ba2 = LMFDB 185562.d3: https://www.lmfdb.org/EllipticCurve/Q/185562/d/3 Mordell–Weil rank exactly 3 (Cremona's tables). Conductor 185562, minimal discriminant 1885427356994064, torsion ℤ/2ℤ × ℤ/2ℤ. The witnesses are the generators from Cremona's tables.
2026-09-26 20:40:40 UTC · David Renshaw

submitted curve #3170 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 35.17
2026-09-26 20:40:40 UTC · Natanael Wildner Fraga

submitted curve #3171 — rank ≥ 12, torsion ℤ/3ℤ, log |Δ| = 242.95
2026-09-26 20:40:37 UTC · Natanael Wildner Fraga

commented on curve #3169

Eroshkin (2006). Source: https://dujella.github.io/tors/z3old891011121314.html (curve entry 15). Published independent points; exact point coordinates checked.
2026-09-26 20:40:37 UTC · Natanael Wildner Fraga

submitted curve #3169 — rank ≥ 12, torsion ℤ/3ℤ, log |Δ| = 249.60
2026-09-26 20:40:33 UTC · Natanael Wildner Fraga

commented on curve #3168

Eroshkin (2006). Source: https://dujella.github.io/tors/z3old891011121314.html (curve entry 11). Published independent points; exact point coordinates checked.
2026-09-26 20:40:33 UTC · Natanael Wildner Fraga

submitted curve #3168 — rank ≥ 12, torsion ℤ/3ℤ, log |Δ| = 259.50
2026-09-26 20:40:30 UTC · Natanael Wildner Fraga

commented on curve #3167

Eroshkin - Voznyy (2024). Source: https://dujella.github.io/tors/z3old891011121314.html (curve entry 39). Published independent points; exact point coordinates checked.
2026-09-26 20:40:30 UTC · Natanael Wildner Fraga

submitted curve #3167 — rank ≥ 12, torsion ℤ/3ℤ, log |Δ| = 261.16
2026-09-26 20:40:26 UTC · Natanael Wildner Fraga

commented on curve #3166

Eroshkin (2006). Source: https://dujella.github.io/tors/z3old891011121314.html (curve entry 12). Published independent points; exact point coordinates checked.
2026-09-26 20:40:26 UTC · Natanael Wildner Fraga

submitted curve #3166 — rank ≥ 12, torsion ℤ/3ℤ, log |Δ| = 260.15
2026-09-26 20:40:22 UTC · Natanael Wildner Fraga

commented on curve #3165

Elkies - Rogers (2004). Source: https://dujella.github.io/tors/z3old891011121314.html (curve entry 42). Published independent points; exact point coordinates checked.
2026-09-26 20:40:22 UTC · Natanael Wildner Fraga

submitted curve #3165 — rank ≥ 11, torsion ℤ/3ℤ, log |Δ| = 234.69
2026-09-26 20:40:20 UTC · David Renshaw

commented on curve #3164

Cremona 41440b1 = LMFDB 41440.e3: https://www.lmfdb.org/EllipticCurve/Q/41440/e/3 Mordell–Weil rank exactly 2 (Cremona's tables). Conductor 41440, minimal discriminant 107329600, torsion ℤ/2ℤ × ℤ/2ℤ. The witnesses are the generators from Cremona's tables.
2026-09-26 20:40:20 UTC · David Renshaw

submitted curve #3164 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 18.49
2026-09-26 20:40:18 UTC · Natanael Wildner Fraga

commented on curve #3163

Eroshkin (2006). Source: https://dujella.github.io/tors/z3old891011121314.html (curve entry 43). Published independent points; exact point coordinates checked.
2026-09-26 20:40:18 UTC · Natanael Wildner Fraga

submitted curve #3163 — rank ≥ 11, torsion ℤ/3ℤ, log |Δ| = 189.32
2026-09-26 20:40:15 UTC · Natanael Wildner Fraga

commented on curve #3162

Voznyy (2022). Source: https://dujella.github.io/tors/z4old9101112.html (curve entry 21). Published independent points; exact point coordinates checked.
2026-09-26 20:40:15 UTC · Natanael Wildner Fraga

submitted curve #3162 — rank ≥ 11, torsion ℤ/4ℤ, log |Δ| = 239.80
2026-09-26 20:40:11 UTC · Natanael Wildner Fraga

commented on curve #3161

Eroshkin (2006). Source: https://dujella.github.io/tors/z3old891011121314.html (curve entry 44). Published independent points; exact point coordinates checked.
2026-09-26 20:40:11 UTC · Natanael Wildner Fraga

submitted curve #3161 — rank ≥ 11, torsion ℤ/3ℤ, log |Δ| = 207.82
2026-09-26 20:40:10 UTC · David Renshaw

commented on curve #3160

Cremona 6336ck2 = LMFDB 6336.o3: https://www.lmfdb.org/EllipticCurve/Q/6336/o/3 Mordell–Weil rank exactly 2 (Cremona's tables). Conductor 6336, minimal discriminant 13006946304, torsion ℤ/2ℤ × ℤ/2ℤ. The witnesses are the generators from Cremona's tables.
2026-09-26 20:40:10 UTC · David Renshaw

submitted curve #3160 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 23.29
2026-09-26 20:40:08 UTC · Natanael Wildner Fraga

commented on curve #3159

Voznyy (2022). Source: https://dujella.github.io/tors/z4old9101112.html (curve entry 16). Published independent points; exact point coordinates checked.
2026-09-26 20:40:07 UTC · Natanael Wildner Fraga

submitted curve #3159 — rank ≥ 11, torsion ℤ/4ℤ, log |Δ| = 259.99