{
  "id": 5549,
  "curve_key": "15351080833605108722488111936:-1898741704099690808735416558711809496845184",
  "ainvs": [
    "0",
    "1",
    "0",
    "-319814184033439765051835665",
    "2197617713078239238715758018587354824275"
  ],
  "rank_lower_bound": 20,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 194.7029501850189,
  "faltings_height": 14.018616931667626,
  "conductor": "32463936289123760124668357570807899958076532012098887523634210440",
  "bad_primes": [
    "2",
    "3",
    "5",
    "17",
    "43",
    "563",
    "1721",
    "104473467113063",
    "5001380592943952780804942426375696483"
  ],
  "discriminant": "7146629663132549749341708156813133695848453571494766879301047470837602836000000",
  "regulator": "3423748819224833066.43027756257862554532931662380018835084435122780662180012801",
  "points": [
    [
      "9094287496895",
      "6425598138152488650"
    ],
    [
      "10671932617955",
      "101255405153142510"
    ],
    [
      "7711369196795",
      "13782985598290511250"
    ],
    [
      "9676408601195",
      "-2999171613405632850"
    ],
    [
      "6087885737795",
      "-21823310292246191250"
    ],
    [
      "11241175322870",
      "4796929498294449675"
    ],
    [
      "7847960661035",
      "-13080072376727874990"
    ],
    [
      "-1713670477705",
      "-52351135230414957750"
    ],
    [
      "11069262812195",
      "-3716383211459845650"
    ],
    [
      "10858244371595",
      "2280379665579210450"
    ],
    [
      "31963884512795",
      "-156946782256943231250"
    ],
    [
      "8003893314059",
      "12272203709995499730"
    ],
    [
      "367215534323915/49",
      "-5107868686258190448030/343"
    ],
    [
      "45470672913545",
      "-285779286742420329750"
    ],
    [
      "14438425047695",
      "24289007436437603850"
    ],
    [
      "-19510981694305",
      "-31782022894573355850"
    ],
    [
      "3099216906522005/4",
      "172489741691366688084225/8"
    ],
    [
      "9885153034295",
      "1464804291572493750"
    ],
    [
      "149590563362345/16",
      "-318649422373902532125/64"
    ],
    [
      "11056268827295",
      "3632680285761170250"
    ]
  ],
  "submitter": "apkorte",
  "history": [],
  "commentary": "Specialization at T = -17/7 of the rank-17 fibration of X1008 given in curve#3589. 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 01:18:21",
  "updated_at": "2026-10-23 01:18:21"
}