{
  "id": 624,
  "curve_key": "1385077580802032481407288349731783809:-1520751386835585977396761957516967851178128433870544577",
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  "rank_lower_bound": 23,
  "torsion": [],
  "naive_height": 249.65645850262703,
  "faltings_height": 18.758612094298904,
  "conductor": "113492893163216590951326900190230978222582452610473766586860712405885559618730",
  "bad_primes": [
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  "discriminant": "199365348233842335315740094591552663732728483291546237511787380316908018948610623111382603759419024998400",
  "regulator": "9967965195709552790421.19683262164504850183564234362656518773770072937175689874856139",
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      "48162242556524094668564838570048970648/230233684689"
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  "submitter": "wgxli",
  "history": [],
  "commentary": "Specialization at T = 127/479 of the rank-15 fibration of X948 given by:\r\ny^2 - (Lx+B)y = x(x+D)(x+E),\r\nwhere\r\nB = pq(L+p+q) - pE - qD,\r\nL = 98592989T^2 - 42403052T + 4534724,\r\np = (202T - 95)(1195231T - 296423),\r\nq = 1385553T - 317733,\r\nD = 117(202T - 95)(8476038568T^3 - 1313273454T^2 - 1327786629T + 273595195),\r\nE = 117(3843642919175T^3 - 3332578517195T^2 + 936871679129T - 85951271349).",
  "created_at": "2026-09-07 07:16:15",
  "updated_at": "2026-09-07 07:16:15"
}