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2026-09-26 20:37:14 UTC · Natanael Wildner Fraga

commented on curve #3098

Eroshkin (2008). Source: https://dujella.github.io/tors/z4old9101112.html (curve entry 27). Published independent points; exact point coordinates checked.
2026-09-26 20:37:14 UTC · David Renshaw

commented on curve #3099

Cremona 77610ba2 = LMFDB 77610.bb3: https://www.lmfdb.org/EllipticCurve/Q/77610/bb/3 Mordell–Weil rank exactly 1 (Cremona's tables). Conductor 77610, minimal discriminant 33010505869278473338982400000, torsion ℤ/10ℤ. The witness is the generator from Cremona's tables.
2026-09-26 20:37:13 UTC · Natanael Wildner Fraga

submitted curve #3098 — rank ≥ 10, torsion ℤ/4ℤ, log |Δ| = 228.71
2026-09-26 20:37:13 UTC · David Renshaw

submitted curve #3099 — rank ≥ 1, torsion ℤ/10ℤ, log |Δ| = 65.67
2026-09-26 20:37:10 UTC · Natanael Wildner Fraga

commented on curve #3097

Eroshkin (2008). Source: https://dujella.github.io/tors/z4old9101112.html (curve entry 24). Published independent points; exact point coordinates checked.
2026-09-26 20:37:10 UTC · Natanael Wildner Fraga

submitted curve #3097 — rank ≥ 10, torsion ℤ/4ℤ, log |Δ| = 231.95
2026-09-26 20:37:06 UTC · Natanael Wildner Fraga

commented on curve #3096

Dujella - Kulesz (2001). Source: https://dujella.github.io/tors/z2z2old1011121314.html (curve entry 63). Published independent points; exact point coordinates checked.
2026-09-26 20:37:06 UTC · Natanael Wildner Fraga

submitted curve #3096 — rank ≥ 10, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 168.35
2026-09-26 20:37:04 UTC · David Renshaw

commented on curve #3095

Cremona 77610ba1 = LMFDB 77610.bb4: https://www.lmfdb.org/EllipticCurve/Q/77610/bb/4 Mordell–Weil rank exactly 1 (Cremona's tables). Conductor 77610, minimal discriminant 188267790084341760000000000, torsion ℤ/10ℤ. The witness is the generator from Cremona's tables.
2026-09-26 20:37:04 UTC · David Renshaw

submitted curve #3095 — rank ≥ 1, torsion ℤ/10ℤ, log |Δ| = 60.50
2026-09-26 20:37:03 UTC · Natanael Wildner Fraga

commented on curve #3094

Eroshkin (2010). Source: https://dujella.github.io/tors/z4old9101112.html (curve entry 33). Published independent points; exact point coordinates checked.
2026-09-26 20:37:02 UTC · Natanael Wildner Fraga

submitted curve #3094 — rank ≥ 10, torsion ℤ/4ℤ, log |Δ| = 233.47
2026-09-26 20:36:59 UTC · Natanael Wildner Fraga

commented on curve #3093

Dujella - Kulesz (2006). Source: https://dujella.github.io/tors/z2z2old1011121314.html (curve entry 84). Published independent points; exact point coordinates checked.
2026-09-26 20:36:59 UTC · Natanael Wildner Fraga

submitted curve #3093 — rank ≥ 10, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 169.53
2026-09-26 20:36:55 UTC · Natanael Wildner Fraga

commented on curve #3092

Dujella - Kulesz (2005). Source: https://dujella.github.io/tors/z2z2old1011121314.html (curve entry 78). Published independent points; exact point coordinates checked.
2026-09-26 20:36:55 UTC · Natanael Wildner Fraga

submitted curve #3092 — rank ≥ 10, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 172.97
2026-09-26 20:36:54 UTC · David Renshaw

commented on curve #2704

Cremona 26171a1 = LMFDB 26171.a1: https://www.lmfdb.org/EllipticCurve/Q/26171/a/1 Mordell–Weil rank exactly 3 (Cremona's tables). Conductor 26171, minimal discriminant -26171, torsion trivial. The witnesses are the generators from Cremona's tables.
2026-09-26 20:36:51 UTC · Natanael Wildner Fraga

commented on curve #3091

Dujella - Kulesz (2001). Source: https://dujella.github.io/tors/z2z2old1011121314.html (curve entry 64). Published independent points; exact point coordinates checked.
2026-09-26 20:36:51 UTC · Natanael Wildner Fraga

submitted curve #3091 — rank ≥ 10, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 172.79
2026-09-26 20:36:48 UTC · Natanael Wildner Fraga

commented on curve #3090

Eroshkin (2010). Source: https://dujella.github.io/tors/z4old9101112.html (curve entry 32). Published independent points; exact point coordinates checked.
2026-09-26 20:36:48 UTC · Natanael Wildner Fraga

submitted curve #3090 — rank ≥ 10, torsion ℤ/4ℤ, log |Δ| = 236.18
2026-09-26 20:36:45 UTC · David Renshaw

commented on curve #3089

Cremona 24301a1 = LMFDB 24301.a1: https://www.lmfdb.org/EllipticCurve/Q/24301/a/1 Mordell–Weil rank exactly 3 (Cremona's tables). Conductor 24301, minimal discriminant -24301, torsion trivial. The witnesses are the generators from Cremona's tables.
2026-09-26 20:36:45 UTC · David Renshaw

submitted curve #3089 — rank ≥ 3, log |Δ| = 10.10
2026-09-26 20:36:44 UTC · Natanael Wildner Fraga

commented on curve #3088

Eroshkin (2008). Source: https://dujella.github.io/tors/z4old9101112.html (curve entry 30). Published independent points; exact point coordinates checked.
2026-09-26 20:36:44 UTC · Natanael Wildner Fraga

submitted curve #3088 — rank ≥ 10, torsion ℤ/4ℤ, log |Δ| = 240.14
2026-09-26 20:36:41 UTC · Natanael Wildner Fraga

commented on curve #3087

2-isogenous image of D-z4old9101112-023, rational kernel x=195804468832796. Source: https://dujella.github.io/tors/z4old9101112.html. Independent witness points transported by the degree-2 isogeny. Witnesses saturated by exact rational halves of published and transported relation…
2026-09-26 20:36:40 UTC · Natanael Wildner Fraga

submitted curve #3087 — rank ≥ 10, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 205.06
2026-09-26 20:36:37 UTC · Natanael Wildner Fraga

commented on curve #3086

2-isogenous image of D-z4old9101112-029, rational kernel x=-13413637921750568. Source: https://dujella.github.io/tors/z4old9101112.html. Independent witness points transported by the degree-2 isogeny. Witnesses saturated by exact rational halves of published and transported relat…
2026-09-26 20:36:37 UTC · Natanael Wildner Fraga

submitted curve #3086 — rank ≥ 10, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 229.39
2026-09-26 20:36:34 UTC · David Renshaw

commented on curve #2702

Cremona 39023a1 = LMFDB 39023.a1: https://www.lmfdb.org/EllipticCurve/Q/39023/a/1 Mordell–Weil rank exactly 3 (Cremona's tables). Conductor 39023, minimal discriminant -39023, torsion trivial. The witnesses are the generators from Cremona's tables.