Recent activity
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commented on curve #3693
Specialization at t = -942/47, u = 11/5 of the Elkies-Klagsbrun family y^2 = x^3 + 2A(t,u)x^2 + B(t,u)x (arXiv:2003.00077, Sec. 9, eqs. (3)-(4)), found by searching small-height t = a/b for small conductor, with points from a 2-descent (PARI ellrank). -
submitted curve #3693 — rank ≥ 17, torsion ℤ/2ℤ, log |Δ| = 265.72
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commented on curve #3692
Specialization at t = 2865/12073, u = 11/5 of the Elkies-Klagsbrun family y^2 = x^3 + 2A(t,u)x^2 + B(t,u)x (arXiv:2003.00077, Sec. 9, eqs. (3)-(4)), found by searching small-height t = a/b for small conductor, with points from a 2-descent (PARI ellrank). -
submitted curve #3692 — rank ≥ 17, torsion ℤ/2ℤ, log |Δ| = 280.47
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commented on curve #3691
Specialization at t = -91/495 of the universal curve with a 5-torsion point, y^2 + (t+1)xy + ty = x^3 + tx^2 (as searched in arXiv:2003.00077, Sec. 12), found by searching small-height t = a/b for small conductor, with points from a 2-descent (PARI ellrank). -
submitted curve #3691 — rank ≥ 4, torsion ℤ/5ℤ, log |Δ| = 67.08
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commented on curve #3690
Specialization at t = -95/792 of the universal curve with a 5-torsion point, y^2 + (t+1)xy + ty = x^3 + tx^2 (as searched in arXiv:2003.00077, Sec. 12), found by searching small-height t = a/b for small conductor, with points from a 2-descent (PARI ellrank). -
submitted curve #3690 — rank ≥ 4, torsion ℤ/5ℤ, log |Δ| = 70.33
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commented on curve #3689
Specialization at t = -417/250 of the universal curve with a 5-torsion point, y^2 + (t+1)xy + ty = x^3 + tx^2 (as searched in arXiv:2003.00077, Sec. 12), found by searching small-height t = a/b for small conductor, with points from a 2-descent (PARI ellrank). -
submitted curve #3689 — rank ≥ 4, torsion ℤ/5ℤ, log |Δ| = 71.62
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commented on curve #3688
Specialization at t = -1116/23 of the universal curve with a 5-torsion point, y^2 + (t+1)xy + ty = x^3 + tx^2 (as searched in arXiv:2003.00077, Sec. 12), found by searching small-height t = a/b for small conductor, with points from a 2-descent (PARI ellrank). -
submitted curve #3688 — rank ≥ 4, torsion ℤ/5ℤ, log |Δ| = 64.54
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commented on curve #3687
Specialization at t = -1877/1424 of the Elkies-Klagsbrun Z/4 fibration E1: y^2 + a*xy + a*c*y = x^3 + c*x^2, a = (8t-1)(32t+7), c = 8(t+1)(15t-8)(31t-7) (arXiv:2003.00077, eq. (5)), found by searching small-height t = a/b for small conductor, with points from a 2-descent (PARI el… -
submitted curve #3687 — rank ≥ 10, torsion ℤ/4ℤ, log |Δ| = 206.13
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commented on curve #3686
Specialization at t = 886/615 of the Elkies-Klagsbrun Z/4 fibration E2: y^2 + a*xy + a*c*y = x^3 + c*x^2, a = -8(80t+9), c = 2(t-2)(2t-1)(18t-1)(2t-81) (arXiv:2003.00077, eq. (6)), found by searching small-height t = a/b for small conductor, with points from a 2-descent (PARI ell… -
submitted curve #3686 — rank ≥ 10, torsion ℤ/4ℤ, log |Δ| = 198.30
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commented on curve #3685
Specialization at t = 610/833 of the Elkies-Klagsbrun Z/4 fibration E1: y^2 + a*xy + a*c*y = x^3 + c*x^2, a = (8t-1)(32t+7), c = 8(t+1)(15t-8)(31t-7) (arXiv:2003.00077, eq. (5)), found by searching small-height t = a/b for small conductor, with points from a 2-descent (PARI ellra… -
submitted curve #3685 — rank ≥ 10, torsion ℤ/4ℤ, log |Δ| = 206.64
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commented on curve #3684
Specialization at t = 797/1707 of the Elkies-Klagsbrun Z/4 fibration E1: y^2 + a*xy + a*c*y = x^3 + c*x^2, a = (8t-1)(32t+7), c = 8(t+1)(15t-8)(31t-7) (arXiv:2003.00077, eq. (5)), found by searching small-height t = a/b for small conductor, with points from a 2-descent (PARI ellr… -
submitted curve #3684 — rank ≥ 10, torsion ℤ/4ℤ, log |Δ| = 213.21
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commented on curve #3683
Specialization at t = 918/829 of the Elkies-Klagsbrun Z/4 fibration E2: y^2 + a*xy + a*c*y = x^3 + c*x^2, a = -8(80t+9), c = 2(t-2)(2t-1)(18t-1)(2t-81) (arXiv:2003.00077, eq. (6)), found by searching small-height t = a/b for small conductor, with points from a 2-descent (PARI ell… -
submitted curve #3683 — rank ≥ 10, torsion ℤ/4ℤ, log |Δ| = 198.66
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commented on curve #3682
Specialization at t = 368/1183 of the Elkies-Klagsbrun Z/4 fibration E1: y^2 + a*xy + a*c*y = x^3 + c*x^2, a = (8t-1)(32t+7), c = 8(t+1)(15t-8)(31t-7) (arXiv:2003.00077, eq. (5)), found by searching small-height t = a/b for small conductor, with points from a 2-descent (PARI ellr… -
submitted curve #3682 — rank ≥ 10, torsion ℤ/4ℤ, log |Δ| = 202.04
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commented on curve #3681
Specialization at t = 463/1955 of the Elkies-Klagsbrun Z/4 fibration E1: y^2 + a*xy + a*c*y = x^3 + c*x^2, a = (8t-1)(32t+7), c = 8(t+1)(15t-8)(31t-7) (arXiv:2003.00077, eq. (5)), found by searching small-height t = a/b for small conductor, with points from a 2-descent (PARI ellr… -
submitted curve #3681 — rank ≥ 10, torsion ℤ/4ℤ, log |Δ| = 203.87
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commented on curve #3680
Specialization at t = 254/143 of the Elkies-Klagsbrun Z/4 fibration E2: y^2 + a*xy + a*c*y = x^3 + c*x^2, a = -8(80t+9), c = 2(t-2)(2t-1)(18t-1)(2t-81) (arXiv:2003.00077, eq. (6)), found by searching small-height t = a/b for small conductor, with points from a 2-descent (PARI ell… -
submitted curve #3680 — rank ≥ 9, torsion ℤ/4ℤ, log |Δ| = 154.18
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commented on curve #3679
Specialization at t = -1391/1824 of the Elkies-Klagsbrun Z/4 fibration E2: y^2 + a*xy + a*c*y = x^3 + c*x^2, a = -8(80t+9), c = 2(t-2)(2t-1)(18t-1)(2t-81) (arXiv:2003.00077, eq. (6)), found by searching small-height t = a/b for small conductor, with points from a 2-descent (PARI … -
submitted curve #3679 — rank ≥ 9, torsion ℤ/4ℤ, log |Δ| = 165.64