Recent activity
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commented on curve #3388
Found in a rational-parameter search of the Kubert–Tate family for torsion ℤ/9ℤ: y^2 + (1-c)xy - by = x^3 - bx^2 with c=t^2(t-1), b=c(t^2-t+1), at t = -11/10; converted to the global minimal model. The 2 witness points were found with PARI/GP ellrank. Conductor 8327367510, torsio… -
submitted curve #3388 — rank ≥ 2, torsion ℤ/9ℤ, log |Δ| = 96.41
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commented on curve #3387
Found in a rational-parameter search of the Kubert–Tate family for torsion ℤ/9ℤ: y^2 + (1-c)xy - by = x^3 - bx^2 with c=t^2(t-1), b=c(t^2-t+1), at t = 1/8; converted to the global minimal model. The 1 witness points were found with PARI/GP ellrank. Conductor 524286, torsion ℤ/9ℤ. -
submitted curve #3387 — rank ≥ 1, torsion ℤ/9ℤ, log |Δ| = 54.85
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commented on curve #3386
Found in a rational-parameter search of the Kubert–Tate family for torsion ℤ/8ℤ: y^2 + (1-c)xy - by = x^3 - bx^2 with b=(2t-1)(t-1), c=b/t, at t = -4/13; converted to the global minimal model. The 2 witness points were found with PARI/GP ellrank. Conductor 6618066, torsion ℤ/8ℤ. -
submitted curve #3386 — rank ≥ 2, torsion ℤ/8ℤ, log |Δ| = 57.63
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commented on curve #3385
Found in a rational-parameter search of the Kubert–Tate family for torsion ℤ/8ℤ: y^2 + (1-c)xy - by = x^3 - bx^2 with b=(2t-1)(t-1), c=b/t, at t = 2/23; converted to the global minimal model. The 2 witness points were found with PARI/GP ellrank. Conductor 3542322, torsion ℤ/8ℤ. -
submitted curve #3385 — rank ≥ 2, torsion ℤ/8ℤ, log |Δ| = 53.21
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commented on curve #3384
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 = 104/123; converted to the global minimal model. The 3 witness points were found with PARI/GP ellrank. Conductor 12751938654, torsion ℤ/… -
submitted curve #3384 — rank ≥ 3, torsion ℤ/7ℤ, log |Δ| = 99.06
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commented on curve #3383
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 = 157/165; converted to the global minimal model. The 3 witness points were found with PARI/GP ellrank. Conductor 96925814… -
submitted curve #3383 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 92.01
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commented on curve #3382
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 = 187/135; converted to the global minimal model. The 3 witness points were found with PARI/GP ellrank. Conductor 24657882… -
submitted curve #3382 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 98.58
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commented on curve #3381
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 = 68/33; converted to the global minimal model. The 3 witness points were found with PARI/GP ellrank. Conductor 2656423793… -
submitted curve #3381 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 101.89
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commented on curve #3380
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 = -183/85; converted to the global minimal model. The 3 witness points were found with PARI/GP ellrank. Conductor 11232328… -
submitted curve #3380 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 103.98
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commented on curve #3379
Found in a Mestre–Nagao-sieved search of the family y^2 = x(x+a)(x+b), at a = 66, b = 939; converted to the global minimal model. The 4 witness points were found with PARI/GP ellrank. Conductor 96183648, torsion ℤ/2ℤ × ℤ/2ℤ. -
submitted curve #3379 — rank ≥ 4, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 38.39
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commented on curve #3378
Found in a Mestre–Nagao-sieved search of the family y^2 = x(x+a)(x+b), at a = -387, b = -1011; converted to the global minimal model. The 4 witness points were found with PARI/GP ellrank. Conductor 27127152, torsion ℤ/2ℤ × ℤ/2ℤ. -
submitted curve #3378 — rank ≥ 4, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 41.40
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commented on curve #3377
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 = 1/17; converted to the global minimal model. The 2 witness points were found with PARI/GP ellrank. Conductor 38882910, to… -
submitted curve #3377 — rank ≥ 2, torsion ℤ/10ℤ, log |Δ| = 72.15
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commented on curve #3376
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 = 14/11; converted to the global minimal model. The 2 witness points were found with PARI/GP ellrank. Conductor 404284650, … -
submitted curve #3376 — rank ≥ 2, torsion ℤ/10ℤ, log |Δ| = 79.36
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commented on curve #3375
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 = 11/28; converted to the global minimal model. The 2 witness points were found with PARI/GP ellrank. Conductor 34172754, t… -
submitted curve #3375 — rank ≥ 2, torsion ℤ/10ℤ, log |Δ| = 82.32
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commented on curve #3374
Found in a rational-parameter search of the Kubert–Tate family for torsion ℤ/9ℤ: y^2 + (1-c)xy - by = x^3 - bx^2 with c=t^2(t-1), b=c(t^2-t+1), at t = 7/20; converted to the global minimal model. The 2 witness points were found with PARI/GP ellrank. Conductor 3054566970, torsion … -
submitted curve #3374 — rank ≥ 2, torsion ℤ/9ℤ, log |Δ| = 94.05