Recent activity
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commented on curve #3507
Torsion Z/2. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank -
submitted curve #3507 — rank ≥ 9, torsion ℤ/2ℤ, log |Δ| = 81.73
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commented on curve #3506
Torsion Z/2. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank -
submitted curve #3506 — rank ≥ 9, torsion ℤ/2ℤ, log |Δ| = 73.61
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commented on curve #3505
Torsion Z/2+Z/2. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank -
submitted curve #3505 — rank ≥ 5, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 58.24
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submitted curve #3504 — rank ≥ 4, torsion ℤ/6ℤ, log |Δ| = 61.93
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submitted curve #3503 — rank ≥ 3, torsion ℤ/8ℤ, log |Δ| = 76.81
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submitted curve #3502 — rank ≥ 4, torsion ℤ/8ℤ, log |Δ| = 141.00
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submitted curve #3501 — rank ≥ 4, torsion ℤ/8ℤ, log |Δ| = 143.24
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submitted curve #3500 — rank ≥ 4, torsion ℤ/8ℤ, log |Δ| = 142.96
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submitted curve #3499 — rank ≥ 3, torsion ℤ/8ℤ, log |Δ| = 86.84
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submitted curve #3498 — rank ≥ 3, torsion ℤ/8ℤ, log |Δ| = 85.04
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submitted curve #3497 — rank ≥ 4, torsion ℤ/8ℤ, log |Δ| = 131.89
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submitted curve #3496 — rank ≥ 4, torsion ℤ/8ℤ, log |Δ| = 139.49
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submitted curve #3495 — rank ≥ 3, torsion ℤ/8ℤ, log |Δ| = 87.38
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commented on curve #3494
Torsion Z/6 specialization of the universal Tate family y^2 + t*x*y + (t+2)*y = x^3 at t = -8431/8415. Found in a conductor-oriented search of reduced rational parameters, using bad-reduction support filtering followed by Mestre-Nagao screening and exact PARI/GP descent. PARI… -
submitted curve #3494 — rank ≥ 6, torsion ℤ/6ℤ, log |Δ| = 111.78 ☆ record for ℤ/6ℤ torsion, rank ≥ 6: naive height
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submitted curve #3493 — rank ≥ 3, torsion ℤ/8ℤ, log |Δ| = 87.95
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submitted curve #3492 — rank ≥ 3, torsion ℤ/8ℤ, log |Δ| = 91.64
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commented on curve #3491
Rank-5 Z/6Z curve obtained via the 2-isogeny involution w_2(t) = -(2t+12)/(t+2) from the specialization t = -7336/3657, giving the isogenous parameter t = 14606/11. Found during a conductor/discriminant-first search of the universal X_1(6) family. PARI/GP 2.17.4 gives rank boun… -
submitted curve #3491 — rank ≥ 5, torsion ℤ/6ℤ, log |Δ| = 71.93 ☆ record for ℤ/6ℤ torsion, rank ≥ 5: discriminant
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commented on curve #3490
Torsion Z/6 specialization of the universal Tate family y^2 + t*x*y + (t+2)*y = x^3 at t = -9914/3841. Found in a conductor-first search over reduced rational parameters using bad-reduction support filtering, Mestre-Nagao scoring, and exact PARI/GP 2-descent. PARI/GP 2.17.4 giv… -
submitted curve #3490 — rank ≥ 5, torsion ℤ/6ℤ, log |Δ| = 89.50 ☆ record for ℤ/6ℤ torsion, rank ≥ 5: conductor
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commented on curve #3489
Z/2Z curve from the Elkies-Klagsbrun rank-9 family y^2=x^3+2A(t,u)x^2+B(t,u)x (Elkies-Klagsbrun 2020), fibre u=11/5, t=45/901. Found by sweeping t=a/b with the lossless conic-Hilbert prefilter of Breddin (Zenodo 10.5281/zenodo.22242109), screened with PARI ellrank (2-descent): 16… -
submitted curve #3489 — rank ≥ 16, torsion ℤ/2ℤ, log |Δ| = 230.32
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commented on curve #3488
Z/2Z curve from the Elkies-Klagsbrun rank-9 family y^2=x^3+2A(t,u)x^2+B(t,u)x (Elkies-Klagsbrun 2020), fibre u=11/5, t=-529/1848. Found by sweeping t=a/b with the lossless conic-Hilbert prefilter of Breddin (Zenodo 10.5281/zenodo.22242109), screened with PARI ellrank (2-descent):… -
submitted curve #3488 — rank ≥ 16, torsion ℤ/2ℤ, log |Δ| = 233.17
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commented on curve #3487
Z/2Z curve from the Elkies-Klagsbrun rank-9 family y^2=x^3+2A(t,u)x^2+B(t,u)x (Elkies-Klagsbrun 2020), fibre u=11/5, t=-1621/3315. Found by sweeping t=a/b with the lossless conic-Hilbert prefilter of Breddin (Zenodo 10.5281/zenodo.22242109), screened with PARI ellrank (2-descent)… -
submitted curve #3487 — rank ≥ 16, torsion ℤ/2ℤ, log |Δ| = 233.76