Recent activity
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commented on curve #4114
Second-smallest naïve height H, and smallest |D| and Faltings height, of the 5 curves with H < 2^100 and this MW group. -
commented on curve #4117
Smallest naïve height H of the 5 curves with H < 2^100 and this MW group. This curve is [a,b,a*b,0,0] with (a,b)=(127, -15857). Curves 2-5 are at (a,b)=(265,-2959) [curve#4116], (80, 81205/4) [curve#1685], (165, 16215) [curve#1652], and (288, 60409/4) -
commented on curve #4117
Second-smallest naïve height H of the 6 curves with H < 2^100 and this MW group. -
submitted curve #4117 — rank ≥ 5, torsion ℤ/4ℤ, log |Δ| = 60.88 ☆ record for ℤ/4ℤ torsion, rank ≥ 5: naive height
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commented on curve #4116
2-isogenous to curve #4115 -
submitted curve #4116 — rank ≥ 21, torsion ℤ/2ℤ, log |Δ| = 399.52
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commented on curve #4115
specialization at T = 92968/9807 of the rank-9 fibration of X1152 given by: y^2 + (6573T^2 + 312188T - 7905)xy = x(x + (16T + 3)(2410T + 9817)(7953T + 478)(8 - 55T))(x - 529(349T - 78)(6T + 13)(25T + 22)(292T + 967)). -
submitted curve #4115 — rank ≥ 21, torsion ℤ/2ℤ, log |Δ| = 398.33
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commented on curve #4114
Third-smallest naïve height H, and smallest |D| and Faltings height, of the 6 curves with H < 2^100 and this MW group. -
submitted curve #4114 — rank ≥ 5, torsion ℤ/4ℤ, log |Δ| = 54.80 ☆ record for ℤ/4ℤ torsion, rank ≥ 5: Faltings height
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commented on curve #4113
2-isogenous to curve #4112 -
submitted curve #4113 — rank ≥ 20, torsion ℤ/2ℤ, log |Δ| = 353.09
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commented on curve #4112
specialization at T = 9620/8279 of the rank-9 fibration of X1152 given by: y^2 + (71511T^2 - 43336T - 967295)xy = x(x - 256(155769T - 2147777)(2T - 51)(11T - 3)(T + 24))(x + (200T - 3009)(183T + 17)(15T + 274)(7535T + 11673)). -
submitted curve #4112 — rank ≥ 20, torsion ℤ/2ℤ, log |Δ| = 353.58
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commented on curve #4111
2-isogenous to curve #4110 -
submitted curve #4111 — rank ≥ 20, torsion ℤ/2ℤ, log |Δ| = 341.74
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commented on curve #4110
specialization at T = 12131/8109 of the rank-9 fibration of X1008 given by: y^2 + (105912T^2 - 91132T - 6860)xy = x(x + (5T - 257)(27T + 41)(223T + 139)(3115T + 577))(x + (707T - 6214)(37T + 26)(135T + 47)(703T + 139)). -
submitted curve #4110 — rank ≥ 20, torsion ℤ/2ℤ, log |Δ| = 339.25
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commented on curve #4109
2-isogenous to curve #4108 -
submitted curve #4109 — rank ≥ 20, torsion ℤ/2ℤ, log |Δ| = 346.70
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commented on curve #4108
specialization at T = 39757/56373 of the rank-9 fibration of X720 given by: y^2 + (355T - 3074)(T + 34)xy = x(x + (181 - 7T)(32T + 259)(47T + 529)(T - 97))(x + (12T - 371)(83T - 47)(6T + 23)(42T + 47)). -
submitted curve #4108 — rank ≥ 20, torsion ℤ/2ℤ, log |Δ| = 344.92
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commented on curve #4107
2-isogenous to curve #4106 -
submitted curve #4107 — rank ≥ 20, torsion ℤ/2ℤ, log |Δ| = 361.07
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commented on curve #4106
specialization at T = 245484/7853 of the rank-9 fibration of X720 given by: y^2 + (1260T^2 + 16274T + 6718)xy = x(x + (2431 - 50T)(81T - 416)(98T + 405)T)(x + 8(512T - 4465)(2T - 187)(361T + 1924)). -
submitted curve #4106 — rank ≥ 20, torsion ℤ/2ℤ, log |Δ| = 355.06
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commented on curve #4105
Torsion Z/3. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank -
submitted curve #4105 — rank ≥ 9, torsion ℤ/3ℤ, log |Δ| = 100.29 ☆ record for ℤ/3ℤ torsion, rank ≥ 9: conductor, discriminant, Faltings height
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commented on curve #4104
Torsion Z/2+Z/2. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank -
submitted curve #4104 — rank ≥ 7, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 81.04