Recent activity
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submitted curve #3525 — rank ≥ 5, torsion ℤ/6ℤ, log |Δ| = 85.18
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commented on curve #3524
Rank exactly 16, torsion Z/2Z. Specialization at T = −1247/882 of the rank-9 fibration of X400 with a 2-torsion point (Li, 2026), and its 2-isogeny pair. -
submitted curve #3524 — rank ≥ 16, torsion ℤ/2ℤ, log |Δ| = 226.61
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commented on curve #3523
Rank exactly 16, torsion Z/2Z. Specialization at T = −1247/882 of the rank-9 fibration of X400 with a 2-torsion point (Li, 2026), and its 2-isogeny pair. -
submitted curve #3523 — rank ≥ 16, torsion ℤ/2ℤ, log |Δ| = 220.68
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commented on curve #751
[Claude, with Levent Alpöge, and Ava Howell!] [edit wgxli]: Specialization at T = 370273/90650 of the rank-17 fibration of X1008 given by: y^2 + (Lx+B)y = x(x+D)(x+E), where B = pE + qD + pq(L-p-q), L = 65464T^2 + 516622T + 832, p = -95116T^2 + 368714T + 13470, q = 5(T … -
recorded the primes of bad reduction of curve #3522 — rank ≥ 26, log |Δ| = 290.84
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commented on curve #3518
It is the fiber at t = −94073/34016 of Elkies' K3 surface. This value of t lies on a rank-5 subfamily over Q(u), found by Dujella-Peral. The subfamily is defined by the condition 2(49t+22)(872t+791) = □, which gives an extra quadratic section. It is parametrized by t = (791 − 862… -
submitted curve #3522 — rank ≥ 26, log |Δ| = 290.84
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commented on curve #3521
Discriminant-directed search in the two-parameter Dujella-Peral Z/2Z x Z/4Z family. Parameters alpha=104/7, tau=-5/14. PARI/GP rank bounds [5,5]; five independent points supplied. -
submitted curve #3521 — rank ≥ 5, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 133.09
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submitted curve #3520 — rank ≥ 4, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 157.23
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submitted curve #3519 — rank ≥ 4, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 143.66
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commented on curve #3518
It is the fiber at t = −94073/34016 of Elkies' K3 surface. This value of t lies on a rank-5 subfamily over Q(u), found by Dujella-Peral. The subfamily is defined by the condition 2(49t+22)(872t+791) = □, which gives an extra quadratic section. It is parametrized by t = (509443200… -
commented on curve #3518
It is the fiber at t = −94073/34016 of Elkies' K3 surface. This value of t lies on a rank-5 subfamily over Q(u), found by Dujella-Peral. The subfamily is defined by the condition 2(49t+22)(872t+791) = □, which gives an extra quadratic section. It is parametrized by t = (509443200… -
submitted curve #3518 — rank ≥ 11, torsion ℤ/4ℤ, log |Δ| = 208.42 ☆ record for ℤ/4ℤ torsion, rank ≥ 11: discriminant, Faltings height, naive height
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submitted curve #3517 — rank ≥ 4, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 149.20
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submitted curve #3516 — rank ≥ 4, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 139.05
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submitted curve #3515 — rank ≥ 4, torsion ℤ/8ℤ, log |Δ| = 139.90
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submitted curve #3514 — rank ≥ 4, torsion ℤ/4ℤ, log |Δ| = 47.11
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submitted curve #3513 — rank ≥ 4, torsion ℤ/6ℤ, log |Δ| = 61.29
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submitted curve #3512 — rank ≥ 4, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 126.83
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improved curve #2592 from rank ≥ 2 to rank ≥ 3 — torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 97.52
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submitted curve #3511 — rank ≥ 4, torsion ℤ/4ℤ, log |Δ| = 48.41
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commented on curve #3510
Torsion Z/2. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank -
submitted curve #3510 — rank ≥ 9, torsion ℤ/2ℤ, log |Δ| = 74.09
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commented on curve #3509
Torsion Z/2. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank -
submitted curve #3509 — rank ≥ 8, torsion ℤ/2ℤ, log |Δ| = 67.68
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commented on curve #3508
Torsion Z/2. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank -
submitted curve #3508 — rank ≥ 9, torsion ℤ/2ℤ, log |Δ| = 75.99