Recent activity
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commented on curve #3085
2-isogenous image of D-z4old9101112-031, rational kernel x=4539034041928485. 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 relatio… -
submitted curve #3085 — rank ≥ 10, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 216.77
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commented on curve #3084
2-isogenous image of D-z4old9101112-024, rational kernel x=-42159575397842210. 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… -
submitted curve #3084 — rank ≥ 10, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 231.74
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commented on curve #3083
2-isogenous image of D-z4old9101112-033, rational kernel x=-41172155077932666. 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… -
submitted curve #3083 — rank ≥ 10, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 234.79
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commented on curve #3082
Cremona 58939a1 = LMFDB 58939.a1: https://www.lmfdb.org/EllipticCurve/Q/58939/a/1 Mordell–Weil rank exactly 3 (Cremona's tables). Conductor 58939, minimal discriminant -58939, torsion trivial. The witnesses are the generators from Cremona's tables. -
submitted curve #3082 — rank ≥ 3, log |Δ| = 10.98
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commented on curve #3081
Voznyy (2023). Source: https://dujella.github.io/tors/z3old891011121314.html (curve entry 58). Published independent points; exact point coordinates checked. -
submitted curve #3081 — rank ≥ 9, torsion ℤ/3ℤ, log |Δ| = 177.84
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commented on curve #3080
Elkies - Rogers (2004). Source: https://dujella.github.io/tors/z3old891011121314.html (curve entry 51). Published independent points; exact point coordinates checked. -
submitted curve #3080 — rank ≥ 9, torsion ℤ/3ℤ, log |Δ| = 153.16
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commented on curve #3078
2-isogenous to curve#1246 via the rational 2-torsion point x=-360663. 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… -
commented on curve #3079
Cremona 40331c1 = LMFDB 40331.a1: https://www.lmfdb.org/EllipticCurve/Q/40331/a/1 Mordell–Weil rank exactly 3 (Cremona's tables). Conductor 40331, minimal discriminant -40331, torsion trivial. The witnesses are the generators from Cremona's tables. -
submitted curve #3078 — rank ≥ 9, torsion ℤ/2ℤ, log |Δ| = 77.06
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submitted curve #3079 — rank ≥ 3, log |Δ| = 10.60
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commented on curve #3077
Eroshkin - Siddiq - Voznyy (2023). Source: https://dujella.github.io/tors/z3old891011121314.html (curve entry 53). Published independent points; exact point coordinates checked. -
submitted curve #3077 — rank ≥ 9, torsion ℤ/3ℤ, log |Δ| = 143.47
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commented on curve #3076
Cremona 997b1 = LMFDB 997.c1: https://www.lmfdb.org/EllipticCurve/Q/997/c/1 Mordell–Weil rank exactly 2 (Cremona's tables). Conductor 997, minimal discriminant 997, torsion trivial. The witnesses are the generators from Cremona's tables. -
commented on curve #3075
2-isogenous to curve#2093 via the rational 2-torsion point x=648064835168. 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 inde… -
submitted curve #3076 — rank ≥ 2, log |Δ| = 6.90
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submitted curve #3075 — rank ≥ 9, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 157.26
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commented on curve #3074
Eroshkin (2008). Source: https://dujella.github.io/tors/z4old9101112.html (curve entry 42). Published independent points; exact point coordinates checked. -
submitted curve #3074 — rank ≥ 9, torsion ℤ/4ℤ, log |Δ| = 176.32
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commented on curve #3073
Eroshkin (2008). Source: https://dujella.github.io/tors/z4old9101112.html (curve entry 43). Published independent points; exact point coordinates checked. -
submitted curve #3073 — rank ≥ 9, torsion ℤ/4ℤ, log |Δ| = 178.27
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commented on curve #3072
Cremona 997c1 = LMFDB 997.a1: https://www.lmfdb.org/EllipticCurve/Q/997/a/1 Mordell–Weil rank exactly 2 (Cremona's tables). Conductor 997, minimal discriminant 997, torsion trivial. The witnesses are the generators from Cremona's tables. -
submitted curve #3072 — rank ≥ 2, log |Δ| = 6.90
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commented on curve #3071
2-isogenous to curve#1372 via the rational 2-torsion point x=5043. 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 independence… -
submitted curve #3071 — rank ≥ 9, torsion ℤ/2ℤ, log |Δ| = 78.31