{
  "id": 5544,
  "curve_key": "1134016909533004328784665881:-38516991262231985616386382370341133724029",
  "ainvs": [
    "1",
    "0",
    "1",
    "-23625352281937590183013873",
    "44579850997951718276645929240564764728"
  ],
  "rank_lower_bound": 19,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 186.90383620437993,
  "faltings_height": 13.433525675037355,
  "conductor": "260332908683445191166767635201796588861670376389160609605210",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "13",
    "31",
    "47",
    "127",
    "1907599",
    "729603550901",
    "6801010894591",
    "34646630961386589799"
  ],
  "discriminant": "-14594488527683011137078570345806038722339712573304213762567128820684609062500",
  "regulator": "68572651092951259.53769083689047358553737228222808151854858743272132462452220",
  "points": [
    [
      "2966985684259",
      "775985622371160620"
    ],
    [
      "148263537260401/64",
      "773369283130967995915/512"
    ],
    [
      "3233662795489",
      "-1412965197950700100"
    ],
    [
      "2031842956309",
      "2228244253435467770"
    ],
    [
      "89013967121634",
      "838595535209688886495"
    ],
    [
      "4417881192097",
      "5141263917024708962"
    ],
    [
      "2216136199609",
      "-1762633481832550780"
    ],
    [
      "-1212597582356",
      "8452509179831465900"
    ],
    [
      "-3590814141866",
      "-9116704611731794630"
    ],
    [
      "2156210424109",
      "-1913993555278645030"
    ],
    [
      "2414025554209",
      "-1270995917615862430"
    ],
    [
      "28937258496259",
      "-153596799393339462880"
    ],
    [
      "2762004347059",
      "630029974642122920"
    ],
    [
      "3134987395809",
      "1151424990542588770"
    ],
    [
      "13130293003459",
      "44700048158220172220"
    ],
    [
      "-22339545291989/4",
      "-12203107771101776465/8"
    ],
    [
      "8698365224584",
      "-22298205388372851280"
    ],
    [
      "3696020881811866/1369",
      "34901210969341485990755/50653"
    ],
    [
      "3448982024809",
      "-2030696685093105580"
    ]
  ],
  "submitter": "apkorte",
  "history": [],
  "commentary": "Specialization at T = -7/24 of the rank-17 fibration of X1008 given in curve#751. Found by Claude (Anthropic): a Mestre-Nagao sieve over the fibration, then a 2-covering point search seeded with its generic sections.",
  "created_at": "2026-10-23 00:19:57",
  "updated_at": "2026-10-23 00:19:57"
}