Recent activity
New submissions and commentary edits, newest first.
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commented on curve #167
Rank 16 curve from a Mestre-Fermigier 6-tuple specialization; tuple=[-1146, -2304, -654, 3054, 2880, -1830], t=1929/1. Found via Nagao-Mestre sieve + quartic point search. -
submitted curve #167 — rank ≥ 16, naive height 161.14
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commented on curve #166
Rank 17 curve from a Mestre-Fermigier 6-tuple specialization; tuple=[-498, -216, -6, 414, 552, -246], t=3303/2. Found via Nagao-Mestre sieve + quartic point search. -
submitted curve #166 — rank ≥ 17, naive height 181.31
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commented on curve #165
Rank 17 curve from a Mestre-Fermigier 6-tuple specialization; tuple=[-1146, -2304, -654, 3054, 2880, -1830], t=2906/3. Found via Nagao-Mestre sieve + quartic point search. -
submitted curve #165 — rank ≥ 17, naive height 187.31
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commented on curve #164
Rank 17 curve from a Mestre-Fermigier 6-tuple specialization; tuple=[240, -1692, -996, 1260, 1776, -588], t=1383/4. Found via Nagao-Mestre sieve + quartic point search. -
submitted curve #164 — rank ≥ 17, naive height 182.20
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commented on curve #163
Rank 17 curve from a Mestre-Fermigier 6-tuple specialization; tuple=[-324, 24, 120, 180, 276, -276], t=1355/9. Found via Nagao-Mestre sieve + quartic point search. -
submitted curve #163 — rank ≥ 17, naive height 186.76
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commented on curve #162
Use Fermigier-Mestre's quartic parametrization with (a_1, \dots, a_6) = (0,6,12,14,15,23) and t = 1. This 6-tuple may not come from specialization of actual bivariate polynomial 6-tuples of Fermigier-Mestre. -
submitted curve #162 — rank ≥ 9, naive height 74.32
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commented on curve #161
New curve of rank ≥ 18 and log conductor 127.067, found as the specialization t = 17142/23 of the 2-parameter Mestre rank-12 family over Q(t) used by Fermigier in 'Une courbe elliptique définie sur Q de rang ≥ 22' (Acta Arith. 82 (1997)) — here at family parameters (u,v) = (2,5),… -
commented on curve #160
New curve of rank ≥ 19 and and log conductor 146.224, found as the specialization t = 10806/5 of the 2-parameter Mestre rank-12 family over Q(t) used by Fermigier in 'Une courbe elliptique définie sur Q de rang ≥ 22' (Acta Arith. 82 (1997)) — here at family parameters (u,v) = (4,… -
commented on curve #161
New curve of rank ≥ 18 and log conductor 55.184, found as the specialization t = 17142/23 of the 2-parameter Mestre rank-12 family over Q(t) used by Fermigier in 'Une courbe elliptique définie sur Q de rang ≥ 22' (Acta Arith. 82 (1997)) — here at family parameters (u,v) = (2,5), … -
commented on curve #161
New curve of rank ≥ 18 and naive height 193.079, found as the specialization t = 17142/23 of the 2-parameter Mestre rank-12 family over Q(t) used by Fermigier in 'Une courbe elliptique définie sur Q de rang ≥ 22' (Acta Arith. 82 (1997)) — here at family parameters (u,v) = (2,5), … -
commented on curve #160
New curve of rank ≥ 19 and naive height 190.312, found as the specialization t = 10806/5 of the 2-parameter Mestre rank-12 family over Q(t) used by Fermigier in 'Une courbe elliptique définie sur Q de rang ≥ 22' (Acta Arith. 82 (1997)) — here at family parameters (u,v) = (4,6), s… -
commented on curve #160
New curve of rank ≥ 19 and naive height 190.312, found as the specialization t = 10806/5 of the 2-parameter Mestre rank-12 family over Q(t) used by Fermigier in 'Une courbe elliptique définie sur Q de rang ≥ 22' (Acta Arith. 82 (1997)) — here at family parameters (u,v) =… -
commented on curve #160
Found by an algorithm authored by Fable 5, slightly revised by Opus 4.8 and me. -
commented on curve #161
Found by an algorithm authored by Fable 5, slightly revised by Opus 4.8 and me. -
submitted curve #161 — rank ≥ 18, naive height 193.08
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submitted curve #160 — rank ≥ 19, naive height 190.31
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commented on curve #159
Rank >= 17 witness for the prepared Mestre u4 v6, T=2454 curve from ec_high_rank_search_report.pdf. The first 16 points are from rank16_basis.json; P17=(168529858382/49,65428320462144828/343) was recovered by the Claude point-finding subagent and independently verified here. Sage… -
commented on curve #159
Rank >= 17 witness for the prepared Mestre u4 v6, T=2454 curve from ec_high_rank_search_report.pdf. The first 16 points are from rank16_basis.json; P17=(168529858382/49,65428320462144828/343) was recovered by the Claude point-finding subagent and independently verified here. Sage… -
submitted curve #159 — rank ≥ 17, naive height 136.79
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commented on curve #158
Found by Noam D. Elkies in June 2026, using an improved version of the methods described in his JMM 2023 talk https://abel.math.harvard.edu/~elkies/Elkies_JMM23.pdf -
submitted curve #158 — rank ≥ 13, naive height 75.76
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commented on curve #157
Found by Noam D. Elkies in June 2026, using an improved version of the methods described in his JMM 2023 talk https://abel.math.harvard.edu/~elkies/Elkies_JMM23.pdf -
submitted curve #157 — rank ≥ 12, naive height 69.34
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commented on curve #150
Found by the ec-smallcond GPU integral-point search (Elkies-Watkins style large-rank/small-conductor sweep); rank >= 9 certified from 9 independent points via PARI/GP ellrank (returned rank exactly 9).