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) = (4,6), sextuple {−1146, −2304, −654, 3054, 2880, −1830} — located by a discriminant-gated exhaustive specialization scan crossed with a stagedNagao-sum sieve; 19 independent points certified by positive-definite Néron–Tate height pairing. Conductor N (log N ≈ 146.22) is squarefree apart from 3², with bad primes 2, 3², 5, 13, 19, 23, 29, 31, 43, 16657, 29873, 2175553654838803,149259273131621162380144645571.
cocoxhuang · 2026-06-25 03:10:55
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), sextuple {−1146, −2304, −654, 3054, 2880, −1830} — located by a discriminant-gated exhaustive specialization scan crossed with a stagedNagao-sum sieve; 19 independent points certified by positive-definite Néron–Tate height pairing. Conductor N (log N ≈ 146.22) is squarefree apart from 3², with bad primes 2, 3², 5, 13, 19, 23, 29, 31, 43, 16657, 29873, 2175553654838803,149259273131621162380144645571.
cocoxhuang · 2026-06-25 03:10:01
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), sextuple {−1146, −2304, −654, 3054, 2880, −1830} —
located by a discriminant-gated exhaustive specialization scan crossed with a staged
Nagao-sum sieve; 19 independent points certified by positive-definite Néron–Tate
height pairing. Conductor N (log N ≈ 146.22) is squarefree apart from 3², with bad
primes 2, 3², 5, 13, 19, 23, 29, 31, 43, 16657, 29873, 2175553654838803,
149259273131621162380144645571.
cocoxhuang · 2026-06-25 03:01:35
Found by an algorithm authored by Fable 5, slightly revised by Opus 4.8 and me.
cocoxhuang · 2026-06-25 03:15:13
cocoxhuang · 2026-06-25 03:10:55
cocoxhuang · 2026-06-25 03:10:01
cocoxhuang · 2026-06-25 03:01:35