{
  "id": 5690,
  "curve_key": "110097627283852951836772984201:-36409447465202669778936967729960893773814949",
  "ainvs": [
    "1",
    "0",
    "1",
    "-2293700568413603163266103838",
    "42140564195836232213537085590894836359188"
  ],
  "rank_lower_bound": 21,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 200.61349501134083,
  "faltings_height": 14.537269255817444,
  "conductor": "48209533267154336467449170843024227408211672914172713837973237716470",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "31",
    "2221",
    "763666207",
    "37213484826946118843153",
    "117327405124968871201391495167"
  ],
  "discriminant": "5149972147896675343984849657394750546325676100190407703523885719240874062012187500",
  "regulator": "52940770041608552036.644275369357407874988116115773540298250253710317181096828304",
  "points": [
    [
      "76815489690079",
      "564984744434476732985"
    ],
    [
      "17310158725804",
      "-87310299339402145465"
    ],
    [
      "44341897174204",
      "-166188885100094897065"
    ],
    [
      "29147582883454",
      "6927215690965122185"
    ],
    [
      "-13521757392521",
      "-265862997014176169815"
    ],
    [
      "48036222540229",
      "-206887463063813684065"
    ],
    [
      "66487412324179",
      "-428428566159077381965"
    ],
    [
      "63655797482179",
      "392517956653272021785"
    ],
    [
      "122468720649751/4",
      "-198365313819298932275/8"
    ],
    [
      "38115106227184",
      "100439393103298862315"
    ],
    [
      "9536837740664731/289",
      "239928375771563979450955/4913"
    ],
    [
      "6047822986324",
      "168789437798138701295"
    ],
    [
      "-15091697033336",
      "-270775034907174222205"
    ],
    [
      "29276187234154",
      "9068318274912202085"
    ],
    [
      "-36766519502321",
      "277077294697599597785"
    ],
    [
      "-12869579659181",
      "-263681597658807679495"
    ],
    [
      "32133716635804",
      "40198696256142676535"
    ],
    [
      "25446625583029",
      "15846036350368426835"
    ],
    [
      "5548407676819",
      "172002860947112368505"
    ],
    [
      "17633848452442",
      "-84717700001901166315"
    ],
    [
      "18231360097552",
      "79894096178709965540"
    ]
  ],
  "submitter": "apkorte",
  "history": [],
  "commentary": "Specialization at T = 23/13 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": "2026-10-24 10:41:45",
  "updated_at": "2026-10-24 10:41:45"
}