Recent activity
-
commented on curve #3664
Specialization at t = -140 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 ellran… -
submitted curve #3664 — rank ≥ 7, torsion ℤ/4ℤ, log |Δ| = 106.96
-
commented on curve #3663
Specialization at t = 11/152 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 ellran… -
submitted curve #3663 — rank ≥ 7, torsion ℤ/4ℤ, log |Δ| = 121.02
-
commented on curve #3662
Specialization at t = 107/256 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 #3662 — rank ≥ 7, torsion ℤ/4ℤ, log |Δ| = 107.29
-
commented on curve #3661
Specialization at t = -25/198 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 #3661 — rank ≥ 7, torsion ℤ/4ℤ, log |Δ| = 102.36 ☆ record for ℤ/4ℤ torsion, rank ≥ 7: naive height
-
commented on curve #3660
Specialization at t = 17/37 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 ellrank… -
submitted curve #3660 — rank ≥ 7, torsion ℤ/4ℤ, log |Δ| = 108.25
-
commented on curve #3659
Specialization at t = -11/16 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 ellran… -
submitted curve #3659 — rank ≥ 6, torsion ℤ/4ℤ, log |Δ| = 88.74
-
commented on curve #3658
Specialization at t = 13/16 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 ellrank… -
submitted curve #3658 — rank ≥ 6, torsion ℤ/4ℤ, log |Δ| = 89.65
-
commented on curve #3657
Specialization at t = -791/872 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 #3657 — rank ≥ 6, torsion ℤ/4ℤ, log |Δ| = 86.72
-
commented on curve #3656
Specialization at t = -17/16 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 ellran… -
submitted curve #3656 — rank ≥ 5, torsion ℤ/4ℤ, log |Δ| = 75.38
-
commented on curve #3655
Specialization at T = 477/1130 of the rank-9 fibration of X400, y^2 + (Lx+B)y = x(x+D)(x+E), given in the commentary of curve #802 (same T), found by searching small-height t = a/b for small conductor, with points from a 2-descent (PARI ellrank). -
submitted curve #3655 — rank ≥ 16, torsion ℤ/2ℤ, log |Δ| = 231.38
-
commented on curve #3654
Specialization at T = -115/1351 of the rank-9 fibration of X400, y^2 + (Lx+B)y = x(x+D)(x+E), given in the commentary of curve #802 (same T), found by searching small-height t = a/b for small conductor, with points from a 2-descent (PARI ellrank). -
submitted curve #3654 — rank ≥ 16, torsion ℤ/2ℤ, log |Δ| = 239.09
-
commented on curve #3653
Specialization at T = -971/167 of the rank-9 fibration of X400, y^2 + (Lx+B)y = x(x+D)(x+E), given in the commentary of curve #802 (same T), found by searching small-height t = a/b for small conductor, with points from a 2-descent (PARI ellrank). -
submitted curve #3653 — rank ≥ 16, torsion ℤ/2ℤ, log |Δ| = 219.66
-
commented on curve #3652
Specialization at t = -379/743, 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 #3652 — rank ≥ 15, torsion ℤ/2ℤ, log |Δ| = 200.44
-
commented on curve #3651
Specialization at T = -1321/42 of the rank-9 fibration of X400, y^2 + (Lx+B)y = x(x+D)(x+E), given in the commentary of curve #802 (same T), found by searching small-height t = a/b for small conductor, with points from a 2-descent (PARI ellrank). -
submitted curve #3651 — rank ≥ 15, torsion ℤ/2ℤ, log |Δ| = 219.61
-
commented on curve #3650
Specialization at t = -512/1427, u = 2/5 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 #3650 — rank ≥ 15, torsion ℤ/2ℤ, log |Δ| = 229.33