Elliptic Curve Rank Leaderboard

← home

Recent activity

• 2026-09-27 09:46:13 UTC · Steps Unbounded

  commented on curve #3486

  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=383/1163. 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): …

• 2026-09-27 09:46:13 UTC · Steps Unbounded

  submitted curve #3486 — rank ≥ 16, torsion ℤ/2ℤ, log |Δ| = 247.35

• 2026-09-27 09:39:58 UTC · Steps Unbounded

  commented on curve #3485

  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=720/73. 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): 17…

• 2026-09-27 09:39:58 UTC · Steps Unbounded

  submitted curve #3485 — rank ≥ 17, torsion ℤ/2ℤ, log |Δ| = 256.58

• 2026-09-27 09:23:45 UTC · jesper-petersen

  commented on curve #3484

  Found by a conductor-oriented search in the standard Z/2Z x Z/4Z family y^2 = x(x+u^2)(x+v^2), with (u,v) = (7625,73346). PARI/GP 2.17.4 gives exact rank 6 and torsion Z/2Z x Z/4Z. Conductor N = 36629127870174840.

• 2026-09-27 09:23:45 UTC · jesper-petersen

  submitted curve #3484 — rank ≥ 6, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 128.13 ☆ record for ℤ/2ℤ × ℤ/4ℤ torsion, rank ≥ 6: conductor

• 2026-09-27 09:21:03 UTC · jesper-petersen

  commented on curve #3483

  Found by a conductor-oriented search in the standard Z/2Z x Z/4Z family y^2 = x(x+u^2)(x+v^2), with (u,v) = (1971,52217). PARI/GP 2.17.4 gives exact rank 6 and torsion Z/2Z x Z/4Z. Conductor N = 62271688747599408.

• 2026-09-27 09:21:03 UTC · jesper-petersen

  submitted curve #3483 — rank ≥ 6, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 120.02 ☆ record for ℤ/2ℤ × ℤ/4ℤ torsion, rank ≥ 6: discriminant

• 2026-09-27 09:16:27 UTC · jesper-petersen

  commented on curve #3482

  Dujella - Kulesz (2002). Source: https://dujella.github.io/tors/z2z2old1011121314.html (curve entry 73).

• 2026-09-27 09:16:27 UTC · jesper-petersen

  submitted curve #3482 — rank ≥ 10, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 176.06

• 2026-09-27 08:57:51 UTC · hdeping

  commented on curve #1740

  Specialization t=1/8 of the universal torsion Z/2xZ/8 family y^2=x(x+16t^4)(x+(t^2-1)^4).

• 2026-09-27 08:57:36 UTC · hdeping

  commented on curve #1739

  Specialization t=1/11 of the universal torsion Z/2xZ/8 family y^2=x(x+16t^4)(x+(t^2-1)^4).

• 2026-09-27 08:57:20 UTC · hdeping

  commented on curve #1738

  Specialization t=3/11 of the universal torsion Z/2xZ/8 family y^2=x(x+16t^4)(x+(t^2-1)^4).

• 2026-09-27 08:57:04 UTC · hdeping

  commented on curve #1737

  Specialization t=3/8 of the universal torsion Z/2xZ/8 family y^2=x(x+16t^4)(x+(t^2-1)^4).

• 2026-09-27 08:56:48 UTC · hdeping

  commented on curve #1736

  Specialization t=2/7 of the universal torsion Z/2xZ/8 family y^2=x(x+16t^4)(x+(t^2-1)^4).

• 2026-09-27 08:56:33 UTC · hdeping

  commented on curve #1735

  Specialization t=5/7 of the universal torsion Z/2xZ/8 family y^2=x(x+16t^4)(x+(t^2-1)^4).

• 2026-09-27 08:56:17 UTC · hdeping

  commented on curve #1501

  Specialization t=153/1027 of the universal torsion Z/2xZ/8 family y^2=x(x+16t^4)(x+(t^2-1)^4).

• 2026-09-27 08:56:01 UTC · hdeping

  commented on curve #1502

  Specialization t=21/310 of the universal torsion Z/2xZ/8 family y^2=x(x+16t^4)(x+(t^2-1)^4).

• 2026-09-27 08:55:44 UTC · hdeping

  commented on curve #1499

  Specialization t=113/122 of the universal torsion Z/2xZ/8 family y^2=x(x+16t^4)(x+(t^2-1)^4).

• 2026-09-27 08:55:28 UTC · hdeping

  commented on curve #1787

  Specialization t=11/4 of the universal torsion Z/2xZ/8 family y^2=x(x+16t^4)(x+(t^2-1)^4).

• 2026-09-27 08:55:15 UTC · Tom Fisher

  submitted curve #3481 — rank ≥ 4, torsion ℤ/6ℤ, log |Δ| = 61.62

• 2026-09-27 08:55:11 UTC · hdeping

  commented on curve #1786

  Specialization t=11/9 of the universal torsion Z/2xZ/8 family y^2=x(x+16t^4)(x+(t^2-1)^4).

• 2026-09-27 08:54:54 UTC · hdeping

  commented on curve #1785

  Specialization t=13/7 of the universal torsion Z/2xZ/8 family y^2=x(x+16t^4)(x+(t^2-1)^4).

• 2026-09-27 08:54:39 UTC · hdeping

  commented on curve #1810

  Specialization t=-11/5 of the HHVZ 2021 (Thm 5) universal family for torsion Z/12Z.

• 2026-09-27 08:54:23 UTC · hdeping

  commented on curve #1784

  Specialization t=11/7 of the universal torsion Z/2xZ/8 family y^2=x(x+16t^4)(x+(t^2-1)^4).

• 2026-09-27 08:54:07 UTC · hdeping

  commented on curve #1783

  Specialization t=9/4 of the universal torsion Z/2xZ/8 family y^2=x(x+16t^4)(x+(t^2-1)^4).

• 2026-09-27 08:53:51 UTC · hdeping

  commented on curve #1820

  Specialization t=-1/13 of the Kubert X_1(9) universal family.

• 2026-09-27 08:53:34 UTC · hdeping

  commented on curve #1819

  Specialization t=-3/14 of the Kubert X_1(9) universal family.

• 2026-09-27 08:53:19 UTC · hdeping

  commented on curve #1809

  Specialization t=4/3 of the HHVZ 2021 (Thm 5) universal family for torsion Z/12Z.

• 2026-09-27 08:53:03 UTC · hdeping

  commented on curve #1818

  Specialization t=-5/8 of the Kubert X_1(9) universal family.