Recent activity
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commented on curve #2545
3-isogenous to S-1054; original source https://elliptic-rank.icarm.cloud/curve/1054. Rational 3-torsion kernel with x=200; independent point witnesses transported by explicit Vélu map. -
submitted curve #2545 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 37.97
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commented on curve #2544
Exact computational search in the full 2-torsion/3-torsion family with p=-8, q=9; A=(3q-p)(p+q)^3=35, B=-(p+3q)(p-q)^3=93347. 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 claime… -
submitted curve #2544 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 47.34
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commented on curve #2543
Exact computational search in the full 2-torsion/3-torsion family with p=-12, q=5; A=(3q-p)(p+q)^3=-9261, B=-(p+3q)(p-q)^3=14739. 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 cl… -
submitted curve #2543 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 52.09
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commented on curve #2542
2-isogenous to curve#1796 via the rational 2-torsion point x=0. 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 is… -
submitted curve #2542 — rank ≥ 1, torsion ℤ/2ℤ, log |Δ| = 10.13
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commented on curve #2541
Exact computational search in the full 2-torsion/3-torsion family with p=-14, q=1; A=(3q-p)(p+q)^3=-37349, B=-(p+3q)(p-q)^3=-37125. 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 #2541 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 47.38
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commented on curve #2540
Exact computational full 2- and 3-torsion family at (p,q)=(-13,4); Velu quotient by rational order-3 subgroup. The mapped rank >=1 witness is non-torsion by the original exact 2-descent Kummer certificate and finite isogeny kernel. Conductor N=6630; local exponents {'2': 1, '3': … -
submitted curve #2540 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 47.54
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commented on curve #2539
Exact computational search in the full 2-torsion/3-torsion family with p=-14, q=5; A=(3q-p)(p+q)^3=-21141, B=-(p+3q)(p-q)^3=6859. 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 cl… -
submitted curve #2539 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 52.52
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commented on curve #2538
2-isogenous to curve#1808 via the rational 2-torsion point x=0. 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 is… -
submitted curve #2538 — rank ≥ 1, torsion ℤ/2ℤ, log |Δ| = 10.25
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commented on curve #2537
Exact computational full 2- and 3-torsion family at (p,q)=(-9,2); Velu quotient by rational order-3 subgroup. The mapped rank >=1 witness is non-torsion by the original exact 2-descent Kummer certificate and finite isogeny kernel. Conductor N=6930; local exponents {'2': 1, '3': 2… -
submitted curve #2537 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 32.91
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commented on curve #2536
Exact computational full 2- and 3-torsion family at (p,q)=(-21,1); Velu quotient by rational order-3 subgroup. The mapped rank >=1 witness is non-torsion by the original exact 2-descent Kummer certificate and finite isogeny kernel. Conductor N=6930; local exponents {'2': 1, '3': … -
submitted curve #2536 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 37.03
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commented on curve #2535
Exact computational search in the full 2-torsion/3-torsion family with p=-9, q=10; A=(3q-p)(p+q)^3=39, B=-(p+3q)(p-q)^3=144039. 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 clai… -
submitted curve #2535 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 49.29
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commented on curve #2534
Exact computational search in the full 2-torsion/3-torsion family with p=-14, q=3; A=(3q-p)(p+q)^3=-30613, B=-(p+3q)(p-q)^3=-24565. 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 #2534 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 52.75
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commented on curve #2533
Exact computational search in the full 2-torsion/3-torsion family with p=-15, q=4; A=(3q-p)(p+q)^3=-35937, B=-(p+3q)(p-q)^3=-20577. 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 #2533 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 54.58
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commented on curve #2532
2-isogenous to curve#1797 via the rational 2-torsion point x=0. Independent witness points are the images of that curve's witnesses under the degree-2 isogeny. -
submitted curve #2532 — rank ≥ 1, torsion ℤ/2ℤ, log |Δ| = 10.53
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commented on curve #2531
Exact computational full 2- and 3-torsion family at (p,q)=(-12,5); Velu quotient by rational order-3 subgroup. The mapped rank >=1 witness is non-torsion by the original exact 2-descent Kummer certificate and finite isogeny kernel. Conductor N=10710; local exponents {'2': 1, '3':… -
submitted curve #2531 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 40.87