Recent activity
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submitted curve #2655 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 73.92
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commented on curve #2654
2-isogenous to curve#1432 via the rational 2-torsion point x=45. 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 #2654 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 31.64
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commented on curve #2653
Exact computational search in the full 2-torsion/3-torsion family with p=-22, q=17; A=(3q-p)(p+q)^3=-9125, B=-(p+3q)(p-q)^3=1720251. 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… -
submitted curve #2653 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 70.13
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commented on curve #2652
2-isogenous to curve#1466 via the rational 2-torsion point x=240400. Independent witness points are the images of that curve's witnesses under the degree-2 isogeny. -
submitted curve #2652 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 73.68
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commented on curve #2651
2-isogenous to curve#1433 via the rational 2-torsion point x=10. 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 #2651 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 24.11
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commented on curve #2650
Exact computational search in the full 2-torsion/3-torsion family with p=-34, q=13; A=(3q-p)(p+q)^3=-676053, B=-(p+3q)(p-q)^3=519115. 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 i… -
submitted curve #2650 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 75.61
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commented on curve #2649
2-isogenous to curve#1467 via the rational 2-torsion point x=-32081/4. 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 independ… -
submitted curve #2649 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 57.07
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commented on curve #2648
Exact computational search in the full 2-torsion/3-torsion family with p=-13, q=20; A=(3q-p)(p+q)^3=25039, B=-(p+3q)(p-q)^3=1689039. 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… -
submitted curve #2648 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 72.04
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commented on curve #2647
Exact computational search in the full 2-torsion/3-torsion family with p=-35, q=6; A=(3q-p)(p+q)^3=-1292617, B=-(p+3q)(p-q)^3=-1171657. 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 #2647 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 73.95
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commented on curve #2646
Exact computational search in the full 2-torsion/3-torsion family with p=-16, q=21; A=(3q-p)(p+q)^3=9875, B=-(p+3q)(p-q)^3=2380691. 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 … -
submitted curve #2646 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 71.57
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commented on curve #2645
2-isogenous to curve#1170 via the rational 2-torsion point x=225. 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 #2645 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 36.74
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commented on curve #2644
2-isogenous to curve#1468 via the rational 2-torsion point x=-3745/4. 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 independe… -
submitted curve #2644 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 56.21
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commented on curve #2643
Exact computational search in the full 2-torsion/3-torsion family with p=-37, q=8; A=(3q-p)(p+q)^3=-1487729, B=-(p+3q)(p-q)^3=-1184625. 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 #2643 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 76.09
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commented on curve #2642
2-isogenous to curve#1469 via the rational 2-torsion point x=21968. Independent witness points are the images of that curve's witnesses under the degree-2 isogeny. -
submitted curve #2642 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 68.75
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commented on curve #2641
Exact computational search in the full 2-torsion/3-torsion family with p=-38, q=7; A=(3q-p)(p+q)^3=-1757669, B=-(p+3q)(p-q)^3=-1549125. 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 #2641 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 76.22
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commented on curve #2640
Exact computational search in the full 2-torsion/3-torsion family with p=-56, q=1; A=(3q-p)(p+q)^3=-9816125, B=-(p+3q)(p-q)^3=-9815229. 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…