Recent activity
New submissions and commentary edits, newest first.
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commented on curve #111
From the tables of Elkies-Watkins 2004, 'Elliptic curves of large rank and small conductor' (ANTS-VI, arXiv:math/0403374): a low-conductor / low-discriminant curve of this rank that was absent from the leaderboard. Witness: a maximal independent set of rational points (Neron-Tate… -
submitted curve #111 — rank ≥ 5, naive height 26.72
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commented on curve #110
From the tables of Elkies-Watkins 2004, 'Elliptic curves of large rank and small conductor' (ANTS-VI, arXiv:math/0403374): a low-conductor / low-discriminant curve of this rank that was absent from the leaderboard. Witness: a maximal independent set of rational points (Neron-Tate… -
submitted curve #110 — rank ≥ 5, naive height 25.44
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commented on curve #109
From the tables of Elkies-Watkins 2004, 'Elliptic curves of large rank and small conductor' (ANTS-VI, arXiv:math/0403374): a low-conductor / low-discriminant curve of this rank that was absent from the leaderboard. Witness: a maximal independent set of rational points (Neron-Tate… -
submitted curve #109 — rank ≥ 5, naive height 30.44
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commented on curve #108
From the tables of Elkies-Watkins 2004, 'Elliptic curves of large rank and small conductor' (ANTS-VI, arXiv:math/0403374): a low-conductor / low-discriminant curve of this rank that was absent from the leaderboard. Witness: a maximal independent set of rational points (Neron-Tate… -
submitted curve #108 — rank ≥ 5, naive height 29.77
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commented on curve #107
From the tables of Elkies-Watkins 2004, 'Elliptic curves of large rank and small conductor' (ANTS-VI, arXiv:math/0403374): a low-conductor / low-discriminant curve of this rank that was absent from the leaderboard. Witness: a maximal independent set of rational points (Neron-Tate… -
submitted curve #107 — rank ≥ 5, naive height 28.14
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submitted curve #106 — rank ≥ 13, naive height 86.84
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submitted curve #105 — rank ≥ 12, naive height 85.30
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submitted curve #104 — rank ≥ 16, naive height 125.33
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submitted curve #103 — rank ≥ 14, naive height 90.66
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commented on curve #102
Generated with assistance from OpenAI Codex, based on GPT-5, during a local generalized Mestre/Fermigier quartic-family search. I searched nondegenerate Mestre (u,v) families in the box [-3,3]^2, focusing here on denominator bands 41<=n<=60 and 61<=n<=80 for specializations T=m/n… -
submitted curve #102 — rank ≥ 18, naive height 195.01
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commented on curve #101
EW 2004 (Elkies-Watkins, ANTS-VI, arXiv:math/0403374) Table 2 low-conductor rank-10 list; this curve was absent from the leaderboard. Rank-10 witness via 10 independent rational points (Neron-Tate pairing). -
submitted curve #101 — rank ≥ 10, naive height 57.59
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commented on curve #100
EW 2004 (Elkies-Watkins, ANTS-VI, arXiv:math/0403374) Table 2 low-conductor rank-10 list; this curve was absent from the leaderboard. Rank-10 witness via 10 independent rational points (Neron-Tate pairing). -
submitted curve #100 — rank ≥ 10, naive height 62.20
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commented on curve #99
EW 2004 (Elkies-Watkins, ANTS-VI, arXiv:math/0403374) Table 2 low-conductor rank-10 list; this curve was absent from the leaderboard. Rank-10 witness via 10 independent rational points (Neron-Tate pairing). -
submitted curve #99 — rank ≥ 10, naive height 60.04
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commented on curve #98
Generated by generalized Mestre quartic-family search over (u,v) in [-50,50]^2, denominator <= 40; certified rank >= 18. -
submitted curve #98 — rank ≥ 18, naive height 190.77
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commented on curve #97
Generated by local generalized Mestre/Fermigier quartic-family search: Mestre parameters u=-2, v=-4, specialization T=2429/5. Found in uv-smoke-5 by Nagao stage-1 sieve (M=200, m<=5000, n<=12), rescored at M=1000, selected by exact minimal-height triage, and certified with famcer… -
submitted curve #97 — rank ≥ 17, naive height 163.76
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commented on curve #96
Generated by local generalized Mestre/Fermigier quartic-family search: Mestre parameters u=-2, v=-4, specialization T=1142. Found in uv-smoke-5 by Nagao stage-1 sieve (M=200, m<=5000, n<=12), rescored at M=1000, selected by exact minimal-height triage, and certified with famcert … -
submitted curve #96 — rank ≥ 17, naive height 160.66
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submitted curve #95 — rank ≥ 10, naive height 59.84
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commented on curve #94
New curve of rank >= 18, found as the specialization T = 1315/12 of the 2-parameter Mestre rank-12 family over Q(t) used by Fermigier (Acta Arith. 82 (1997), sextuple {0,55,314,378,1007,1036}), located by a staged Nagao-sum sieve; submitted for its small conductor at this rank. 1…