Recent activity
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commented on curve #2004
2-isogenous partner of curve#1198 (Dujella (2009)). -
commented on curve #2003
2-isogenous partner of curve#1976 (Elkies (2009)). -
commented on curve #2002
2-isogenous partner of curve#1975 (Dujella (2009)). -
commented on curve #2001
2-isogenous partner of curve#1100 (Dujella (2009)). -
commented on curve #1999
2-isogenous partner of curve#519 (Matthias Breddin). -
commented on curve #2000
2-isogenous partner of curve#1101 (Dujella (2009)). -
commented on curve #1998
2-isogenous partner of curve#506 (Matthias Breddin). -
commented on curve #1997
2-isogenous partner of curve#505 (Matthias Breddin). -
commented on curve #1996
2-isogenous partner of curve#1951 (Elkies - Klagsbrun (2020)). -
commented on curve #3401
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 = 1/29; converted to the global minimal model. The 2 witness points were found with PARI/GP ellrank. Conductor 8825955642, torsion … -
submitted curve #3401 — rank ≥ 2, torsion ℤ/9ℤ, log |Δ| = 90.59
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commented on curve #3400
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 = 1/58; converted to the global minimal model. The 2 witness points were found with PARI/GP ellrank. Conductor 16824234, torsion ℤ/8ℤ. -
submitted curve #3400 — rank ≥ 2, torsion ℤ/8ℤ, log |Δ| = 56.22
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commented on curve #3399
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 = 13/3; converted to the global minimal model. The 2 witness points were found with PARI/GP ellrank. Conductor 9409530, torsion ℤ/8ℤ. -
submitted curve #3399 — rank ≥ 2, torsion ℤ/8ℤ, log |Δ| = 60.64
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commented on curve #3398
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 = 133/4; converted to the global minimal model. The 3 witness points were found with PARI/GP ellrank. Conductor 61672312002, torsion ℤ/7ℤ… -
submitted curve #3398 — rank ≥ 3, torsion ℤ/7ℤ, log |Δ| = 92.36
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commented on curve #3397
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 = 1/44; converted to the global minimal model. The 2 witness points were found with PARI/GP ellrank. Conductor 89409298, torsion ℤ/7ℤ. -
submitted curve #3397 — rank ≥ 2, torsion ℤ/7ℤ, log |Δ| = 64.27
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commented on curve #3396
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 = 157/177; converted to the global minimal model. The 3 witness points were found with PARI/GP ellrank. Conductor 46496382… -
submitted curve #3396 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 98.92
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commented on curve #3395
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 = -15/133; converted to the global minimal model. The 3 witness points were found with PARI/GP ellrank. Conductor 17490168… -
submitted curve #3395 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 107.50
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commented on curve #3394
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 = 6/29; converted to the global minimal model. The 3 witness points were found with PARI/GP ellrank. Conductor 4397377590,… -
submitted curve #3394 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 101.72
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commented on curve #3393
Found in a Mestre–Nagao-sieved search of the family y^2 = x(x+a)(x+b), at a = 833, b = 2529; converted to the global minimal model. The 4 witness points were found with PARI/GP ellrank. Conductor 85068816, torsion ℤ/2ℤ × ℤ/2ℤ. -
submitted curve #3393 — rank ≥ 4, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 46.77
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commented on curve #3392
Found in a Mestre–Nagao-sieved search of the family y^2 = x(x+a)(x+b), at a = -562, b = -1346; converted to the global minimal model. The 4 witness points were found with PARI/GP ellrank. Conductor 84722624, torsion ℤ/2ℤ × ℤ/2ℤ. -
submitted curve #3392 — rank ≥ 4, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 43.17
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commented on curve #3391
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 = 1/26; converted to the global minimal model. The 2 witness points were found with PARI/GP ellrank. Conductor 42283410, to…