Recent activity
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commented on curve #3368
Found in a rational-parameter search of the Kubert–Tate family for torsion ℤ/7ℤ: y^2 + (1-c)xy - by = x^3 - bx^2 with b=t^3-t^2, c=t^2-t, at t = 8/21; converted to the global minimal model. The 2 witness points were found with PARI/GP ellrank. Conductor 9096906, torsion ℤ/7ℤ. -
submitted curve #3368 — rank ≥ 2, torsion ℤ/7ℤ, log |Δ| = 63.54
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commented on curve #3367
Found in a rational-parameter search of the Kubert–Tate family for torsion ℤ/2ℤ × ℤ/6ℤ: y^2 + (1-c)xy - by = x^3 - bx^2 with c=(10-2t)/(t^2-9), b=c+c^2, at t = 19/30; converted to the global minimal model. The 3 witness points were found with PARI/GP ellrank. Conductor 8397379947… -
submitted curve #3367 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 97.16
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commented on curve #3366
Found in a rational-parameter search of the Kubert–Tate family for torsion ℤ/2ℤ × ℤ/6ℤ: y^2 + (1-c)xy - by = x^3 - bx^2 with c=(10-2t)/(t^2-9), b=c+c^2, at t = -5/103; converted to the global minimal model. The 3 witness points were found with PARI/GP ellrank. Conductor 279197166… -
submitted curve #3366 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 100.92
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commented on curve #3365
Found in a rational-parameter search of the Kubert–Tate family for torsion ℤ/2ℤ × ℤ/6ℤ: y^2 + (1-c)xy - by = x^3 - bx^2 with c=(10-2t)/(t^2-9), b=c+c^2, at t = -89/41; converted to the global minimal model. The 3 witness points were found with PARI/GP ellrank. Conductor 230944049… -
submitted curve #3365 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 103.13
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commented on curve #3364
Found in a Mestre–Nagao-sieved search of the family y^2 = x(x+a)(x+b), at a = -302, b = -1016; converted to the global minimal model. The 4 witness points were found with PARI/GP ellrank. Conductor 438156096, torsion ℤ/2ℤ × ℤ/2ℤ. -
submitted curve #3364 — rank ≥ 4, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 41.18
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commented on curve #3363
Found in a Mestre–Nagao-sieved search of the family y^2 = x(x+a)(x+b), at a = 382, b = 892; converted to the global minimal model. The 4 witness points were found with PARI/GP ellrank. Conductor 695117760, torsion ℤ/2ℤ × ℤ/2ℤ. -
submitted curve #3363 — rank ≥ 4, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 40.72
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commented on curve #3362
Found in a Mestre–Nagao-sieved search of the family y^2 = x(x+a)(x+b), at a = 328, b = 658; converted to the global minimal model. The 4 witness points were found with PARI/GP ellrank. Conductor 142443840, torsion ℤ/2ℤ × ℤ/2ℤ. -
submitted curve #3362 — rank ≥ 4, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 38.94
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commented on curve #3361
Found in a Mestre–Nagao-sieved search of the family y^2 = x(x+a)(x+b), at a = 146, b = 534; converted to the global minimal model. The 4 witness points were found with PARI/GP ellrank. Conductor 121000128, torsion ℤ/2ℤ × ℤ/2ℤ. -
submitted curve #3361 — rank ≥ 4, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 37.22
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commented on curve #3360
Found in a Mestre–Nagao-sieved search of the family y^2 = x(x+a)(x+b), at a = -151, b = -510; converted to the global minimal model. The 4 witness points were found with PARI/GP ellrank. Conductor 442345440, torsion ℤ/2ℤ × ℤ/2ℤ. -
submitted curve #3360 — rank ≥ 4, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 37.04
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commented on curve #3359
Found in a Mestre–Nagao-sieved search of the family y^2 = x(x+a)(x+b), at a = 103, b = 494; converted to the global minimal model. The 4 witness points were found with PARI/GP ellrank. Conductor 318317792, torsion ℤ/2ℤ × ℤ/2ℤ. -
submitted curve #3359 — rank ≥ 4, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 36.38
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commented on curve #3358
Found in a rational-parameter search of the Kubert–Tate family for torsion ℤ/10ℤ: y^2 + (1-c)xy - by = x^3 - bx^2 with d=t^2/(t-(t-1)^2), c=td-t, b=cd, at t = 15/17; converted to the global minimal model. The 2 witness points were found with PARI/GP ellrank. Conductor 168077130, … -
submitted curve #3358 — rank ≥ 2, torsion ℤ/10ℤ, log |Δ| = 76.67
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commented on curve #3357
Found in a rational-parameter search of the Kubert–Tate family for torsion ℤ/10ℤ: y^2 + (1-c)xy - by = x^3 - bx^2 with d=t^2/(t-(t-1)^2), c=td-t, b=cd, at t = 14/17; converted to the global minimal model. The 2 witness points were found with PARI/GP ellrank. Conductor 34172754, t… -
submitted curve #3357 — rank ≥ 2, torsion ℤ/10ℤ, log |Δ| = 77.34
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commented on curve #3356
Found in a rational-parameter search of the Kubert–Tate family for torsion ℤ/2ℤ × ℤ/6ℤ: y^2 + (1-c)xy - by = x^3 - bx^2 with c=(10-2t)/(t^2-9), b=c+c^2, at t = -47/6; converted to the global minimal model. The 3 witness points were found with PARI/GP ellrank. Conductor 4661767110… -
submitted curve #3356 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 89.11 ☆ record for ℤ/2ℤ × ℤ/6ℤ torsion, rank ≥ 3: naive height
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commented on curve #3355
Found in a rational-parameter search of the Kubert–Tate family for torsion ℤ/2ℤ × ℤ/4ℤ: y^2 + (1-c)xy - by = x^3 - bx^2 with b=t^2-1/16, c=0, at t = -159/92; converted to the global minimal model. The 3 witness points were found with PARI/GP ellrank. Conductor 5657379, torsion ℤ/… -
submitted curve #3355 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 45.79
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commented on curve #3354
Found in a rational-parameter search of the Kubert–Tate family for torsion ℤ/2ℤ × ℤ/4ℤ: y^2 + (1-c)xy - by = x^3 - bx^2 with b=t^2-1/16, c=0, at t = -17/276; converted to the global minimal model. The 3 witness points were found with PARI/GP ellrank. Conductor 5245656, torsion ℤ/… -
submitted curve #3354 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 44.98 ☆ record for ℤ/2ℤ × ℤ/4ℤ torsion, rank ≥ 3: Faltings height, naive height