Recent activity
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submitted curve #2721 — rank ≥ 4, torsion ℤ/10ℤ, log |Δ| = 336.72
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commented on curve #2720
2-isogenous to curve#1523 via the rational 2-torsion point x=-300. 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 #2720 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 36.29
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commented on curve #2719
Cremona 4074l1 = LMFDB 4074.k6: https://www.lmfdb.org/EllipticCurve/Q/4074/k/6 Mordell–Weil rank exactly 1 (Cremona's tables). Conductor 4074, minimal discriminant 100141447053312, torsion ℤ/8ℤ. The witness is the generator from Cremona's tables. -
submitted curve #2719 — rank ≥ 1, torsion ℤ/8ℤ, log |Δ| = 32.24
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commented on curve #2718
Exact computational search in the full 2-torsion/3-torsion family with p=-58, q=41; A=(3q-p)(p+q)^3=-889253, B=-(p+3q)(p-q)^3=63069435. The listed points are independent modulo torsion by the exact 2-descent Kummer squareclass map. The rank is a proven lower bound; no upper bound… -
submitted curve #2718 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 93.72
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commented on curve #2717
2-isogenous to curve#1524 via the rational 2-torsion point x=-989/4. 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 independen… -
submitted curve #2717 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 34.14
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commented on curve #2715
Cremona 1974i1 = LMFDB 1974.h5: https://www.lmfdb.org/EllipticCurve/Q/1974/h/5 Mordell–Weil rank exactly 1 (Cremona's tables). Conductor 1974, minimal discriminant -990247845888, torsion ℤ/8ℤ. The witness is the generator from Cremona's tables. -
commented on curve #2716
2-isogenous to curve#1569 via the rational 2-torsion point x=-385039. 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… -
submitted curve #2716 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 75.17
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submitted curve #2715 — rank ≥ 1, torsion ℤ/8ℤ, log |Δ| = 27.62
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commented on curve #2714
2-isogenous to curve#1525 via the rational 2-torsion point x=-69/4. 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 independenc… -
submitted curve #2714 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 32.50
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submitted curve #2713 — rank ≥ 3, log |Δ| = 10.26
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commented on curve #2712
Cremona 310b1 = LMFDB 310.a3: https://www.lmfdb.org/EllipticCurve/Q/310/a/3 Mordell–Weil rank exactly 1 (Cremona's tables). Conductor 310, minimal discriminant -3174400, torsion ℤ/6ℤ. The witness is the generator from Cremona's tables. -
submitted curve #2712 — rank ≥ 1, torsion ℤ/6ℤ, log |Δ| = 14.97
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submitted curve #2711 — rank ≥ 3, log |Δ| = 10.47
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commented on curve #2710
2-isogenous to curve#1570 via the rational 2-torsion point x=18231631/4. 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 indepe… -
submitted curve #2710 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 89.38
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commented on curve #2709
van Beek (2015). Source: https://dujella.github.io/tors/z9old3.html (curve entry 11). Published independent points; exact point coordinates checked. -
submitted curve #2709 — rank ≥ 3, torsion ℤ/9ℤ, log |Δ| = 142.44
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commented on curve #2708
Cremona 449072l3 = LMFDB 449072.l1: https://www.lmfdb.org/EllipticCurve/Q/449072/l/1 Mordell–Weil rank exactly 3 (Cremona's tables). Conductor 449072, minimal discriminant 8006561105813504, torsion ℤ/4ℤ. The witnesses are the generators from Cremona's tables. -
submitted curve #2708 — rank ≥ 3, torsion ℤ/4ℤ, log |Δ| = 36.62
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submitted curve #2707 — rank ≥ 3, log |Δ| = 10.74
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commented on curve #2706
2-isogenous to curve#1571 via the rational 2-torsion point x=511025. 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 independen… -
submitted curve #2706 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 78.45
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commented on curve #2705
Cremona 54264h2 = LMFDB 54264.b3: https://www.lmfdb.org/EllipticCurve/Q/54264/b/3 Mordell–Weil rank exactly 2 (Cremona's tables). Conductor 54264, minimal discriminant 4251975969024, torsion ℤ/2ℤ × ℤ/4ℤ. The witnesses are the generators from Cremona's tables. -
submitted curve #2705 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 29.08