Recent activity
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submitted curve #3589 — rank ≥ 18, log |Δ| = 175.62
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submitted curve #3588 — rank ≥ 29, log |Δ| = 346.05
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commented on curve #3586
Inspired by (much better) curve#3566 Specialized curve of the C2 x C4 family y^2 = x(x+u^2)(x+v^2), where u±v=d*w^2. Here (u,v)=(2168, 4616), with v-u=2448=17*12^2. PARI/GP gives exact rank 4 and torsion C2 x C4. -
submitted curve #3587 — rank ≥ 31, log |Δ| = 465.76
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submitted curve #3586 — rank ≥ 4, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 75.55
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commented on curve #3585
Inspired by (much better) curve#3566 Specialized curve of the C2 x C4 family y^2 = x(x+u^2)(x+v^2), where u±v=d*w^2. Here (u,v)=(1998, 18270), with v-u=16272=113*12^2. PARI/GP gives exact rank 4 and torsion C2 x C4. -
submitted curve #3585 — rank ≥ 4, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 76.97
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commented on curve #3584
Inspired by (much better) curve#3566 Specialized curve of the C2 x C4 family y^2 = x(x+u^2)(x+v^2), where u±v=d*w^2. Here (u,v)=(-14418, 1278), with v-u=15696=109*12^2. PARI/GP gives exact rank 4 and torsion C2 x C4. -
submitted curve #3584 — rank ≥ 4, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 73.29
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commented on curve #3583
Inspired by (much better) curve#3566 Specialized curve of the C2 x C4 family y^2 = x(x+u^2)(x+v^2), where u±v=d*w^2. Here (u,v)=(1572, 14388), with v-u=12816=89*12^2. PARI/GP gives exact rank 4 and torsion C2 x C4. -
submitted curve #3583 — rank ≥ 4, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 78.96
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commented on curve #3582
2-isogenous to curve#3562, the fibre at t = 83497/251378 of the Z/4 fibration E1 of X163 from Elkies–Klagsbrun (arXiv:2003.00077, Sec. 9), who list this t among their rank-12 parameters. -
submitted curve #3582 — rank ≥ 12, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 277.65
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commented on curve #3581
Specialization at T = 241/69 of a rank-17 fibration of X1008 (2-neighbour of the one in curve#751). -
submitted curve #3581 — rank ≥ 24, log |Δ| = 230.45 ★ record for rank ≥ 24: discriminant, Faltings height, naive height
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commented on curve #3580
Inspired by (much better) curve#3566 Specialized curve of the C2 x C4 family y^2 = x(x+u^2)(x+v^2), where u±v=d*w^2. Here (u,v)=(1016,17288), with v-u=16272=113*12^2. PARI/GP gives exact rank 4 and torsion C2 x C4. -
submitted curve #3580 — rank ≥ 4, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 83.57
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recorded the primes of bad reduction of curve #3579 — rank ≥ 30, log |Δ| = 402.58
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recorded the primes of bad reduction of curve #3578 — rank ≥ 29, log |Δ| = 343.04
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recorded the primes of bad reduction of curve #3577 — rank ≥ 29, log |Δ| = 346.14
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recorded the primes of bad reduction of curve #3575 — rank ≥ 28, log |Δ| = 332.33
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recorded the primes of bad reduction of curve #3574 — rank ≥ 28, log |Δ| = 327.51
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submitted curve #3579 — rank ≥ 30, log |Δ| = 402.58
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submitted curve #3578 — rank ≥ 29, log |Δ| = 343.04
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submitted curve #3577 — rank ≥ 29, log |Δ| = 346.14
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submitted curve #3576 — rank ≥ 28, log |Δ| = 332.53
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submitted curve #3575 — rank ≥ 28, log |Δ| = 332.33
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submitted curve #3574 — rank ≥ 28, log |Δ| = 327.51
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submitted curve #3573 — rank ≥ 28, log |Δ| = 331.73
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submitted curve #3572 — rank ≥ 28, log |Δ| = 318.82