{
  "id": 631,
  "curve_key": "20562137161454549747343855025:-2548580954641600248566612990309970043554025",
  "ainvs": [
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  "rank_lower_bound": 20,
  "torsion": [],
  "naive_height": 195.57974668069676,
  "faltings_height": 14.287473915400096,
  "conductor": "2368241775053952045429990091103904061860334234693819877055450",
  "bad_primes": [
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    "3",
    "5",
    "7",
    "13",
    "17",
    "31",
    "139",
    "4799",
    "14731",
    "33503099826889072146871895726559589117904669"
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  "discriminant": "1272243771415190417871760744895557443313119481010856539704955831996832663060480000",
  "regulator": "233136076300214429.348343986911297193193381616647635174217931682493643026721687",
  "points": [
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      "-686176108848292463529/125"
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      "984351073633586022875952/35251189009",
      "747666339053950776484959134903366349/6618516490006777"
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  ],
  "submitter": "wgxli",
  "history": [],
  "commentary": "Specialization at T = 3/4 of the rank-15 fibration of X948 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 = 74655330T^2 - 93107608T + 34781578,\r\np = -255200T(725T - 619),\r\nq = 841321T - 86021,\r\nD = 1000T(648939726360T^3 - 1001134894922T^2 + 373250670277T - 34456851),\r\nE = -52(210701445490T^3 + 2107937211893T^2 - 2422822069031T + 454446440448).",
  "created_at": "2026-09-07 14:08:52",
  "updated_at": "2026-09-07 14:08:52"
}