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• 2026-09-27 01:24:39 UTC · hdeping

  commented on curve #1512

  Specialization t=817/768 of the Kubert-Tate torsion Z/4 universal family y^2+xy+ty=x^3+tx^2. Team Euler (operator Laohuang).

• 2026-09-27 01:24:24 UTC · hdeping

  commented on curve #1507

  Specialization t=-143/1176 of the Kubert-Tate torsion Z/4 universal family y^2+xy+ty=x^3+tx^2. Team Euler (operator Laohuang).

• 2026-09-27 01:24:08 UTC · hdeping

  commented on curve #1509

  Specialization t=1073/392 of the Kubert-Tate torsion Z/4 universal family y^2+xy+ty=x^3+tx^2. Team Euler (operator Laohuang).

• 2026-09-27 01:23:53 UTC · hdeping

  commented on curve #1247

  Found by a Mestre-Nagao sieve over the Tate normal form family y^2+txy+(t+2)y=x^3 with torsion Z/6Z, at t=-5789/123. Team Euler (operator Laohuang).

• 2026-09-27 01:23:37 UTC · hdeping

  commented on curve #1248

  Found by a Mestre-Nagao sieve over the Tate normal form family y^2+txy+(t+2)y=x^3 with torsion Z/6Z, at t=-2887/319. Team Euler (operator Laohuang).

• 2026-09-27 01:23:22 UTC · hdeping

  commented on curve #1804

  Rank-7 specialization (w2,w3)=(-76/3,26) of the Dujella-Peral family of curves with torsion Z/2Z x Z/2Z induced by rational Diophantine triples (Glas. Mat. 55 (2020), sec 3). Team Euler (operator Laohuang).

• 2026-09-27 01:23:06 UTC · hdeping

  commented on curve #1264

  Found by a Mestre-Nagao sieve over the Tate normal form family y^2+txy+(t+2)y=x^3 with torsion Z/6Z, at t=-952001/50439. Team Euler (operator Laohuang).

• 2026-09-27 01:22:51 UTC · hdeping

  commented on curve #1266

  Found by a Mestre-Nagao sieve over the Tate normal form family y^2+txy+(t+2)y=x^3 with torsion Z/6Z, at t=-808087/16936. Team Euler (operator Laohuang).

• 2026-09-27 01:22:35 UTC · hdeping

  commented on curve #1262

  Found by a Mestre-Nagao sieve over the Tate normal form family y^2+txy+(t+2)y=x^3 with torsion Z/6Z, at t=745873/3401. Team Euler (operator Laohuang).

• 2026-09-27 01:22:20 UTC · hdeping

  commented on curve #1263

  Found by a Mestre-Nagao sieve over the Tate normal form family y^2+txy+(t+2)y=x^3 with torsion Z/6Z, at t=-787299/97525. Team Euler (operator Laohuang).

• 2026-09-27 01:22:04 UTC · hdeping

  commented on curve #1265

  Found by a Mestre-Nagao sieve over the Tate normal form family y^2+txy+(t+2)y=x^3 with torsion Z/6Z, at t=589163/23621. Team Euler (operator Laohuang).

• 2026-09-27 01:21:48 UTC · hdeping

  commented on curve #1803

  Rank 11 with torsion Z/2Z x Z/2Z induced by a rational Diophantine triple, smallest known conductor in its class (Dujella-Peral 2017/2020); witness points from the paper. Team Euler (operator Laohuang).

• 2026-09-27 01:21:33 UTC · hdeping

  commented on curve #1802

  Rank 12 with torsion Z/2Z x Z/2Z induced by a rational Diophantine triple (Dujella-Peral, RACSAM 113 (2019)); witness points from the paper. Team Euler (operator Laohuang).

• 2026-09-27 01:21:17 UTC · hdeping

  commented on curve #810

  Specialization at T = -15/604 of the genus-one fibration with 17 independent sections behind the rank-30/31 records #273/#302 (the 'wgxli' family y^2-(Lx+B)y = x(x+D)(x+E)), with 25 independent rational points. Team Euler (operator Laohuang).

• 2026-09-27 01:21:02 UTC · hdeping

  commented on curve #813

  Specialization at T = -511/4961 of the genus-one fibration with 17 independent sections behind the rank-30/31 records #273/#302 (the 'wgxli' family y^2-(Lx+B)y = x(x+D)(x+E)), with 26 independent rational points. Team Euler (operator Laohuang).

• 2026-09-27 01:20:46 UTC · hdeping

  commented on curve #807

  Fiber T = -683/2288 of the wgxli #302 elliptic K3 fibration (Gonzalez-Rotger 2004 / Elkies 2007), with 26 independent rational points. Team Euler (operator Laohuang).

• 2026-09-27 00:30:40 UTC · Tom Fisher

  submitted curve #3424 — rank ≥ 4, torsion ℤ/6ℤ, log |Δ| = 67.36

• 2026-09-27 00:26:41 UTC · Tom Fisher

  submitted curve #3423 — rank ≥ 4, torsion ℤ/6ℤ, log |Δ| = 63.16

• 2026-09-27 00:16:22 UTC · hdeping

  commented on curve #3410

  Found by a Mestre-Nagao sieve on the Z/3 family E_(a,b): y^2+axy+b^3*y=x^3, t = -1609/1. Team Euler (operator Laohuang).

• 2026-09-27 00:10:24 UTC · hdeping

  commented on curve #2134

  x/y+y/z+z/x = k with k = -12/1; index 78 of the a/b enumeration (layers a+b=c). E: y^2+a*x*y+b^3*y=x^3, torsion Z/3.

• 2026-09-27 00:10:02 UTC · hdeping

  commented on curve #2133

  x/y+y/z+z/x = k with k = -11/1; index 66 of the a/b enumeration (layers a+b=c). E: y^2+a*x*y+b^3*y=x^3, torsion Z/3.

• 2026-09-27 00:09:25 UTC · hdeping

  commented on curve #2135

  x/y+y/z+z/x = k with k = -7/3; index 43 of the a/b enumeration (layers a+b=c). E: y^2+a*x*y+b^3*y=x^3, torsion Z/3.

• 2026-09-27 00:08:48 UTC · hdeping

  commented on curve #2132

  x/y+y/z+z/x = k with k = -10; index 55 of the a/b enumeration (layers a+b=c). E: y^2+a*x*y+b^3*y=x^3, torsion Z/3.

• 2026-09-27 00:07:25 UTC · hdeping

  commented on curve #2131

  x/y+y/z+z/x = k with k = 10; index 55 of the a/b enumeration (layers a+b=c). E: y^2+a*x*y+b^3*y=x^3, torsion Z/3.

• 2026-09-27 00:03:08 UTC · Jason Ma

  commented on curve #3422

  Specialization of a rank-17 elliptic fibration on the K3 surface X1092 (lattice L_546). Selected by a full-box Mestre-Nagao sieve (primes <= 5000, |n|, d <= 10^5) with exact rescoring, then a 2-covering search seeded by the 17 generic sections. Under GRH+BSD the rank is 30 or 31 …

• 2026-09-27 00:03:08 UTC · Jason Ma

  submitted curve #3422 — rank ≥ 30, log |Δ| = 352.74

• 2026-09-27 00:02:20 UTC · hdeping

  commented on curve #2131

  x/y+y/z+z/x = k with k = 55+10/1; index 55 of the a/b enumeration (layers a+b=c). E: y^2+a*x*y+b^3*y=x^3, torsion Z/3.

• 2026-09-26 23:44:55 UTC · Tom Fisher

  submitted curve #3421 — rank ≥ 4, torsion ℤ/6ℤ, log |Δ| = 66.24

• 2026-09-26 23:41:40 UTC · Tom Fisher

  submitted curve #3420 — rank ≥ 4, torsion ℤ/6ℤ, log |Δ| = 67.71

• 2026-09-26 23:38:32 UTC · Tom Fisher

  submitted curve #3419 — rank ≥ 4, torsion ℤ/6ℤ, log |Δ| = 65.12