Recent activity
New submissions and commentary edits, newest first.
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submitted curve #231 — rank ≥ 17, naive height 159.29
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commented on curve #230
Generated with assistance from OpenAI Codex, based on GPT-5. Method: Generalized Mestre/Fermigier quartic-family search: Mestre-Nagao stage sieve, high-M rescore, exact-height triage, and conductor analysis. Candidate came from family mestre_u6_vm2 with specialization T=1002/1. -
submitted curve #230 — rank ≥ 17, naive height 155.54
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commented on curve #229
Generated with assistance from OpenAI Codex, based on GPT-5. Method: Generalized Mestre/Fermigier quartic-family search: Mestre-Nagao stage sieve, high-M rescore, exact-height triage, and conductor analysis. Candidate came from family mestre_u4_v6 with specialization T=2118/1. -
submitted curve #229 — rank ≥ 17, naive height 151.96
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commented on curve #228
Generated with assistance from OpenAI Codex, based on GPT-5. Method: Generalized Mestre/Fermigier quartic-family search: Mestre-Nagao stage sieve, high-M rescore, exact-height triage, and conductor analysis. Candidate came from family mestre_u2_v5 with specialization T=4092/1. -
submitted curve #228 — rank ≥ 17, naive height 156.84
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commented on curve #227
Generated with assistance from OpenAI Codex, based on GPT-5. Method: Generalized Mestre/Fermigier quartic-family search: Mestre-Nagao stage sieve, high-M rescore, exact-height triage, and conductor analysis. Candidate came from family mestre_u2_v5 with specialization T=2307/1. -
submitted curve #227 — rank ≥ 17, naive height 160.06
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commented on curve #226
Generated with assistance from OpenAI Codex, based on GPT-5. Method: Generalized Mestre/Fermigier quartic-family search: Mestre-Nagao stage sieve, high-M rescore, exact-height triage, conductor analysis, and GP famcert certification. Candidate came from family sextuple_C_m138_138… -
submitted curve #226 — rank ≥ 20, naive height 230.81
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commented on curve #225
Generated with assistance from OpenAI Codex, based on GPT-5. Method: Generalized Mestre/Fermigier quartic-family search: Mestre-Nagao stage sieve, high-M rescore, exact-height triage, conductor analysis, and GP famcert certification. Candidate came from family mestre_u3_vm1 with … -
submitted curve #225 — rank ≥ 19, naive height 231.80
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commented on curve #224
Generated with assistance from OpenAI Codex, based on GPT-5. Method: Generalized Mestre/Fermigier quartic-family search: Mestre-Nagao stage sieve, high-M rescore, exact-height triage, conductor analysis, and GP famcert certification. Candidate came from family sextuple_A_m498_m21… -
submitted curve #224 — rank ≥ 18, naive height 203.82
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commented on curve #223
Generated with assistance from OpenAI Codex, based on GPT-5. Method: Generalized Mestre/Fermigier quartic-family search: Mestre-Nagao stage sieve, high-M rescore, exact-height triage, conductor analysis, and GP famcert certification. Candidate came from family mestre_u4_vm1 with … -
submitted curve #223 — rank ≥ 18, naive height 185.30
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commented on curve #222
Rank-18 naive-height record: h=160.644 (beats prior r18 height record 168.785). Found via a NEW 3-parameter sub-family of Mestre's locus 12*p5=5*p2*p3: the six roots are the union of two depth-2 cubics x^3+px+q, x^3+rx+s with (p-r)(q-s)=0 (here equal product), a slice disjoint fr… -
submitted curve #222 — rank ≥ 18, naive height 160.64
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commented on curve #221
Specialization at T = -309/2 of the Mestre/Fermigier family y^2 = r(x,T) on the sextuple (a) = (-44, -60, -6, 110, 94, -94) [r = degree-<=4 remainder in p6(x-T)p6(x+T) = g^2-r, g monic degree 6, p6(x)=prod(x-a_i)]. Located by a Mestre-Nagao sieve of this family. Fourteen independ… -
submitted curve #221 — rank ≥ 14, naive height 137.70
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commented on curve #220
Specialization at T = -281 of the Mestre/Fermigier family y^2 = r(x,T) on the sextuple (a) = (1608, -870, -1080, -642, 1542, -558) [r = degree-<=4 remainder in p6(x-T)p6(x+T) = g^2-r, g monic degree 6, p6(x)=prod(x-a_i)]. Located by a Mestre-Nagao sieve of this family. Fifteen in… -
submitted curve #220 — rank ≥ 15, naive height 164.59
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commented on curve #219
Specialization at T = -6286/9 of the Mestre/Fermigier family y^2 = r(x,T) on the sextuple (a) = (1608, -870, -1080, -642, 1542, -558) [r = degree-<=4 remainder in p6(x-T)p6(x+T) = g^2-r, g monic degree 6, p6(x)=prod(x-a_i)]. Located by a Mestre-Nagao sieve of this family. Sevente… -
submitted curve #219 — rank ≥ 17, naive height 169.69
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commented on curve #218
Specialization at T = -490 of the Mestre/Fermigier family y^2 = r(x,T) on the sextuple (a) = (1608, -870, -1080, -642, 1542, -558) [r = degree-<=4 remainder in p6(x-T)p6(x+T) = g^2-r, g monic degree 6, p6(x)=prod(x-a_i)]. Located by a Mestre-Nagao sieve of this family. Fifteen in… -
submitted curve #218 — rank ≥ 15, naive height 135.19
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commented on curve #217
Specialization at T = -2068 of the Mestre/Fermigier family y^2 = r(x,T) on the sextuple (a) = (-44, -60, -6, 110, 94, -94) [r = degree-<=4 remainder in p6(x-T)p6(x+T) = g^2-r, g monic degree 6, p6(x)=prod(x-a_i)]. Located by a Mestre-Nagao sieve of this family. Sixteen independen… -
submitted curve #217 — rank ≥ 16, naive height 161.73
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commented on curve #216
Specialization at T = -2407/2 of the Mestre/Fermigier family y^2 = r(x,T), where r is the degree-<=4 remainder in p6(x-T)*p6(x+T) = g(x)^2 - r (g monic of degree 6), p6(x) = prod_i(x-a_i) on the sextuple (a) = (-44, -60, -6, 110, 94, -94). Located by a Mestre-Nagao sieve of this …