Recent activity
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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
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commented on curve #2530
Exact computational search in the full 2-torsion/3-torsion family with p=-29, q=3; A=(3q-p)(p+q)^3=-667888, B=-(p+3q)(p-q)^3=-655360. 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 #2530 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 50.30
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commented on curve #2529
Exact computational full 2- and 3-torsion family at (p,q)=(-24,1); 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=14490; local exponents {'2': 1, '3':… -
submitted curve #2529 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 56.64
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commented on curve #2528
Exact computational search in the full 2-torsion/3-torsion family with p=-10, q=11; A=(3q-p)(p+q)^3=43, B=-(p+3q)(p-q)^3=213003. 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 #2528 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 51.05
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commented on curve #2527
Exact computational search in the full 2-torsion/3-torsion family with p=-13, q=6; A=(3q-p)(p+q)^3=-10633, B=-(p+3q)(p-q)^3=34295. 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 #2527 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 55.31
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commented on curve #2526
2-isogenous to curve#2076 via the rational 2-torsion point x=8. 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 #2526 — rank ≥ 1, torsion ℤ/2ℤ, log |Δ| = 19.05
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commented on curve #2525
2-isogenous to curve#2076 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 is… -
submitted curve #2525 — rank ≥ 1, torsion ℤ/2ℤ, log |Δ| = 12.46
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commented on curve #2524
Exact computational search in the full 2-torsion/3-torsion family with p=-10, q=7; A=(3q-p)(p+q)^3=-837, B=-(p+3q)(p-q)^3=54043. 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 #2524 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 51.54
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commented on curve #2523
Exact computational full 2- and 3-torsion family at (p,q)=(-15,4); 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=18810; local exponents {'2': 1, '3':… -
submitted curve #2523 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 42.89
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commented on curve #2522
Exact computational search in the full 2-torsion/3-torsion family with p=-12, q=11; A=(3q-p)(p+q)^3=-45, B=-(p+3q)(p-q)^3=255507. 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 #2522 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 51.87
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commented on curve #2521
2-isogenous to curve#2075 via the rational 2-torsion point x=18. 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 #2521 — rank ≥ 1, torsion ℤ/2ℤ, log |Δ| = 25.41
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commented on curve #2520
2-isogenous to curve#2075 via the rational 2-torsion point x=6. 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 #2520 — rank ≥ 1, torsion ℤ/2ℤ, log |Δ| = 26.41
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commented on curve #2519
2-isogenous to curve#1798 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 #2519 — rank ≥ 1, torsion ℤ/2ℤ, log |Δ| = 11.02
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commented on curve #2518
Exact computational full 2- and 3-torsion family at (p,q)=(-10,1); 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=30030; local exponents {'2': 1, '3':… -
submitted curve #2518 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 50.07
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commented on curve #2517
Exact computational full 2- and 3-torsion family at (p,q)=(-25,1); 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=30030; local exponents {'2': 1, '3':… -
submitted curve #2517 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 54.09