Recent activity
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commented on curve #3708
Specialization at t = 80479/2231 of the universal curve with a 6-torsion point, y^2 + txy + (t+2)y = x^3 (as searched in arXiv:2003.00077, Sec. 13), found by searching small-height t = a/b for small conductor, with points from a 2-descent (PARI ellrank). -
submitted curve #3708 — rank ≥ 6, torsion ℤ/6ℤ, log |Δ| = 114.18 ☆ record for ℤ/6ℤ torsion, rank ≥ 6: conductor
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commented on curve #3707
Specialization at t = 3891105/152048 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 #3707 — rank ≥ 7, torsion ℤ/5ℤ, log |Δ| = 166.24
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commented on curve #3706
Specialization at t = 469252/945061 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… -
submitted curve #3706 — rank ≥ 12, torsion ℤ/4ℤ, log |Δ| = 326.80
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commented on curve #3705
Specialization at t = -30706/18375 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 … -
submitted curve #3705 — rank ≥ 12, torsion ℤ/4ℤ, log |Δ| = 299.00
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commented on curve #3704
Specialization at t = 3549074/82573 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 (PA… -
submitted curve #3704 — rank ≥ 12, torsion ℤ/4ℤ, log |Δ| = 276.10 ☆ record for ℤ/4ℤ torsion, rank ≥ 12: conductor
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commented on curve #3703
Specialization at t = 5941/17480 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 #3703 — rank ≥ 11, torsion ℤ/4ℤ, log |Δ| = 234.73
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commented on curve #3702
Specialization at t = 46235/147474 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 … -
submitted curve #3702 — rank ≥ 11, torsion ℤ/4ℤ, log |Δ| = 219.32
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commented on curve #3701
Specialization at t = -2333/13936 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 e… -
submitted curve #3701 — rank ≥ 10, torsion ℤ/4ℤ, log |Δ| = 210.77
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commented on curve #3700
Specialization at t = 2200/4811 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 ell… -
submitted curve #3700 — rank ≥ 10, torsion ℤ/4ℤ, log |Δ| = 201.77
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commented on curve #3699
Specialization at t = 1205/4264 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 ell… -
submitted curve #3699 — rank ≥ 10, torsion ℤ/4ℤ, log |Δ| = 197.52
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commented on curve #3698
Specialization at t = 4455/18784 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 #3698 — rank ≥ 10, torsion ℤ/4ℤ, log |Δ| = 193.38
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commented on curve #3697
Specialization at t = -15653/10496 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 … -
submitted curve #3697 — rank ≥ 10, torsion ℤ/4ℤ, log |Δ| = 192.51
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commented on curve #3696
Specialization at t = -7064/8413 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 #3696 — rank ≥ 10, torsion ℤ/4ℤ, log |Δ| = 207.37
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commented on curve #3695
Specialization at t = 565/2324 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 #3695 — rank ≥ 10, torsion ℤ/4ℤ, log |Δ| = 180.40
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commented on curve #3694
Specialization at t = 1553/5074 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 ell… -
submitted curve #3694 — rank ≥ 9, torsion ℤ/4ℤ, log |Δ| = 177.39 ☆ record for ℤ/4ℤ torsion, rank ≥ 9: conductor