{
  "id": 1870,
  "curve_key": "22100928599548887007451897447335354630096:-3297955993862453619333141347614989469980506639591397790641856",
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  "rank_lower_bound": 24,
  "torsion": [],
  "naive_height": 278.6968169208222,
  "faltings_height": 21.04873479444941,
  "conductor": "82169019903608474432382828776526797358638326332455264364993047784023758183619634843480",
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  "discriminant": "-47044021044657740057212169610273266175854358159659297862094167560127764447406563300477394889806195741279157116000000",
  "regulator": "341291769928754887975767.97920441594451352359376447277944342431265012091671509707190655",
  "points": [
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  ],
  "submitter": "Ritik Jain",
  "history": [
    {
      "kind": "primes_recorded",
      "user": "Daniel Błażewicz",
      "at": "2026-09-25 17:26:02"
    }
  ],
  "commentary": "Specialization at T = 117/100 of the rank-17 fibration of X1092 given by:\r\ny^2 + (Lx+B)y = x(x+D)(x+E),\r\nwhere\r\nB = pE + qD + pq(L-p-q),\r\nL = 246846T^2 + 383054T + 42417,\r\np = 514599T^2 + 1028123T + 13068,\r\nq = 328107T^2 - 253125T - 3900,\r\nD = 122691873330T^4 + 5928867377T^3 - 269578152744T^2 + 86183018989T + 23435297028,\r\nE = 83083896090T^4 + 197291268661T^3 - 228106232536T^2 + 14398475825T + 2317084900.",
  "created_at": "2026-09-25 17:21:10",
  "updated_at": "2026-09-25 17:26:02"
}