Recent activity
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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
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commented on curve #2516
Exact computational search in the full 2-torsion/3-torsion family with p=-18, q=1; A=(3q-p)(p+q)^3=-103173, B=-(p+3q)(p-q)^3=-102885. 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 #2516 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 51.95
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commented on curve #2515
Exact computational search in the full 2-torsion/3-torsion family with p=-4, q=9; A=(3q-p)(p+q)^3=3875, B=-(p+3q)(p-q)^3=50531. 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 #2515 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 54.14
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commented on curve #2514
Exact computational search in the full 2-torsion/3-torsion family with p=-16, q=3; A=(3q-p)(p+q)^3=-54925, B=-(p+3q)(p-q)^3=-48013. 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 #2514 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 55.52
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commented on curve #2513
Exact computational full 2- and 3-torsion family at (p,q)=(-16,11); 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=39270; local exponents {'2': 1, '3'… -
submitted curve #2513 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 71.59
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commented on curve #2512
Exact computational search in the full 2-torsion/3-torsion family with p=-17, q=4; A=(3q-p)(p+q)^3=-63713, B=-(p+3q)(p-q)^3=-46305. 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 #2512 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 57.59
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commented on curve #2511
Exact computational search in the full 2-torsion/3-torsion family with p=-12, q=7; A=(3q-p)(p+q)^3=-4125, B=-(p+3q)(p-q)^3=61731. 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 #2511 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 55.36
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commented on curve #2510
Exact computational search in the full 2-torsion/3-torsion family with p=-18, q=5; A=(3q-p)(p+q)^3=-72501, B=-(p+3q)(p-q)^3=-36501. 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 #2510 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 58.83
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commented on curve #2509
Exact computational search in the full 2-torsion/3-torsion family with p=-17, q=2; A=(3q-p)(p+q)^3=-77625, B=-(p+3q)(p-q)^3=-75449. 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 #2509 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 54.81
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commented on curve #2508
Exact computational search in the full 2-torsion/3-torsion family with p=-1, q=12; A=(3q-p)(p+q)^3=49247, B=-(p+3q)(p-q)^3=76895. 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 #2508 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 59.02
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commented on curve #2507
Exact computational search in the full 2-torsion/3-torsion family with p=-19, q=6; A=(3q-p)(p+q)^3=-81289, B=-(p+3q)(p-q)^3=-15625. 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 #2507 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 58.56
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commented on curve #2506
Exact computational search in the full 2-torsion/3-torsion family with p=-7, q=10; A=(3q-p)(p+q)^3=999, B=-(p+3q)(p-q)^3=112999. 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 #2506 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 54.79
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commented on curve #2505
Exact computational search in the full 2-torsion/3-torsion family with p=-16, q=7; A=(3q-p)(p+q)^3=-26973, B=-(p+3q)(p-q)^3=60835. 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 #2505 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 59.66
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commented on curve #2504
Exact computational search in the full 2-torsion/3-torsion family with p=-13, q=14; A=(3q-p)(p+q)^3=55, B=-(p+3q)(p-q)^3=570807. 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 #2504 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 55.49
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commented on curve #2503
Exact computational search in the full 2-torsion/3-torsion family with p=-13, q=8; A=(3q-p)(p+q)^3=-4625, B=-(p+3q)(p-q)^3=101871. 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 #2503 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 57.55