Recent activity
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submitted curve #2685 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 87.31
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commented on curve #2684
2-isogenous to curve#1528 via the rational 2-torsion point x=165. 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 #2684 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 39.16
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commented on curve #2683
Cremona 349398c2 = LMFDB 349398.c3: https://www.lmfdb.org/EllipticCurve/Q/349398/c/3 Mordell–Weil rank exactly 3 (Cremona's tables). Conductor 349398, minimal discriminant 9888395954724, torsion ℤ/2ℤ × ℤ/2ℤ. The witnesses are the generators from Cremona's tables. -
submitted curve #2683 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 29.92
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commented on curve #2682
2-isogenous to curve#1567 via the rational 2-torsion point x=-505032. 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 #2682 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 81.39
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commented on curve #2681
2-isogenous to curve#1529 via the rational 2-torsion point x=-292. 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 #2681 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 38.62
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commented on curve #2680
2-isogenous to curve#1530 via the rational 2-torsion point x=349. 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 #2680 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 44.00
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commented on curve #2679
Cremona 192a2 = LMFDB 192.a2: https://www.lmfdb.org/EllipticCurve/Q/192/a/2 Mordell–Weil rank exactly 1 (Cremona's tables). Conductor 192, minimal discriminant 36864, torsion ℤ/2ℤ × ℤ/2ℤ. The witness is the generator from Cremona's tables. -
submitted curve #2679 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 10.51
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commented on curve #2678
Exact computational search in the full 2-torsion/3-torsion family with p=-5, q=12; A=(3q-p)(p+q)^3=14063, B=-(p+3q)(p-q)^3=152303. 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 is c… -
submitted curve #2678 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 61.10
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commented on curve #2677
2-isogenous to curve#1426 via the rational 2-torsion point x=-1. 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 i… -
submitted curve #2677 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 21.15
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commented on curve #2676
Cremona 21443a1 = LMFDB 21443.a1: https://www.lmfdb.org/EllipticCurve/Q/21443/a/1 Mordell–Weil rank exactly 3 (Cremona's tables). Conductor 21443, minimal discriminant -21443, torsion trivial. The witnesses are the generators from Cremona's tables. -
submitted curve #2676 — rank ≥ 3, log |Δ| = 9.97
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commented on curve #2675
Exact computational search in the full 2-torsion/3-torsion family with p=-14, q=15; A=(3q-p)(p+q)^3=59, B=-(p+3q)(p-q)^3=756059. 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 is cla… -
submitted curve #2675 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 56.75
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commented on curve #2674
Exact computational search in the full 2-torsion/3-torsion family with p=-5, q=14; A=(3q-p)(p+q)^3=34263, B=-(p+3q)(p-q)^3=253783. 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 is c… -
submitted curve #2674 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 64.83
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commented on curve #2673
2-isogenous to curve#1427 via the rational 2-torsion point x=171/4. 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 #2673 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 20.81
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commented on curve #2672
Cremona 22481a1 = LMFDB 22481.b1: https://www.lmfdb.org/EllipticCurve/Q/22481/b/1 Mordell–Weil rank exactly 3 (Cremona's tables). Conductor 22481, minimal discriminant -22481, torsion trivial. The witnesses are the generators from Cremona's tables. -
submitted curve #2672 — rank ≥ 3, log |Δ| = 10.02
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commented on curve #2671
2-isogenous to curve#1428 via the rational 2-torsion point x=-11. 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 #2671 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 28.31
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commented on curve #2669
Cremona 26743a1 = LMFDB 26743.a1: https://www.lmfdb.org/EllipticCurve/Q/26743/a/1 Mordell–Weil rank exactly 3 (Cremona's tables). Conductor 26743, minimal discriminant -26743, torsion trivial. The witnesses are the generators from Cremona's tables.