{
  "id": 5664,
  "curve_key": "7237675977322518047945120769:-615089403971062624988191803310753940490753",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-150784916194219125998856683",
    "711909032373952771446863141946724182331"
  ],
  "rank_lower_bound": 21,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 192.44729300429614,
  "faltings_height": 13.812824065766304,
  "conductor": "697797389882636893375354786566333572472674496043540960064894449988010",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "73",
    "13204073",
    "1962705953277098415976674079",
    "372570212437022544795980655989"
  ],
  "discriminant": "464761196852596238907527182158172513836443312600678754974729520236238176563200",
  "regulator": "121044529444239947725.84100718184407309359198785965999327534182145364066972982868",
  "points": [
    [
      "7665131721995",
      "2545936064620721162"
    ],
    [
      "10516749944195",
      "-17009286836519332438"
    ],
    [
      "6711923043505",
      "1491242470849189592"
    ],
    [
      "4688446524553",
      "-10393329426321637450"
    ],
    [
      "506933251167067/49",
      "5522714384669610302630/343"
    ],
    [
      "2811831119605",
      "-17611326115728563548"
    ],
    [
      "18888139610395",
      "-67841217489756084358"
    ],
    [
      "8931386517295",
      "-8811609110652805738"
    ],
    [
      "857543097952951",
      "-25109592063856002090994"
    ],
    [
      "-11151438261205",
      "-31727669207523345238"
    ],
    [
      "9348263061511",
      "-10921400518419443014"
    ],
    [
      "6900017694155",
      "-44386833901560758"
    ],
    [
      "4610194924555",
      "-10711948264155930358"
    ],
    [
      "-499442670595",
      "-28055175228873330148"
    ],
    [
      "7488868847251",
      "-1643163886883244094"
    ],
    [
      "6884782545995",
      "-357710304147035158"
    ],
    [
      "6230029453855",
      "-3784492495589215558"
    ],
    [
      "106476444682795",
      "1091698237782222694442"
    ],
    [
      "106176424803031/25",
      "1521322970837665425406/125"
    ],
    [
      "7304019101467",
      "482709357193238906"
    ],
    [
      "54723757679891",
      "395399849727113206082"
    ]
  ],
  "submitter": "apkorte",
  "history": [],
  "commentary": "Specialization at T = 7/17 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": "2026-10-24 01:37:59",
  "updated_at": "2026-10-24 01:37:59"
}