{
  "id": 5668,
  "curve_key": "1116290283007165683667424574400:-1174618325753363406239796679877127940258902400",
  "ainvs": [
    "0",
    "1",
    "0",
    "-23256047562649285076404678633",
    "1359511951103422116317243792688687425591963"
  ],
  "rank_lower_bound": 21,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 207.5626911905375,
  "faltings_height": 15.124275469639992,
  "conductor": "8822838763774706187970325668285365090230524495813198119194426028805800",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "17",
    "37",
    "109",
    "1289",
    "102911",
    "28150259",
    "101485648642453093",
    "4677274257602116832700864911"
  ],
  "discriminant": "6531001784934224219777621249577355053985288243744766650681318377402442565225890080000",
  "regulator": "81479129199028784362.862646439894051394648558714128292779230364339084384242185997",
  "points": [
    [
      "-128855119884187",
      "-1488861470271095920890"
    ],
    [
      "-1289266019555581/25",
      "194522151237055902525078/125"
    ],
    [
      "82391934558083",
      "-52087955204654692290"
    ],
    [
      "76423562799629",
      "168992355895459600194"
    ],
    [
      "-128857341805042",
      "-1488841654747636464165"
    ],
    [
      "-347354215460323/4",
      "13204095482788582828005/8"
    ],
    [
      "-80365164857707",
      "1646039133970939878390"
    ],
    [
      "-145624582508827",
      "-1287623270946788690310"
    ],
    [
      "104938511552717",
      "273220415808637146498"
    ],
    [
      "96287888122763",
      "113822973112246288110"
    ],
    [
      "410862688699637/4",
      "-1866831311909069864145/8"
    ],
    [
      "12964005260006147/169",
      "-360563842104291837329670/2197"
    ],
    [
      "109846316725493",
      "361039987231713889110"
    ],
    [
      "108303508861709",
      "333410638661994601026"
    ],
    [
      "-72445767311467",
      "-1632204208599741932790"
    ],
    [
      "-121408115102077",
      "1547073909764700272190"
    ],
    [
      "106812483195227",
      "306739959122812180878"
    ],
    [
      "272205559164623",
      "3898511674533622445310"
    ],
    [
      "10442907053078",
      "1057255906573221382935"
    ],
    [
      "267538409736539",
      "-3779837218526331090546"
    ],
    [
      "210665421120407",
      "2410307316777005862318"
    ]
  ],
  "submitter": "apkorte",
  "history": [],
  "commentary": "Specialization at T = -47/19 of the rank-17 fibration of X1152 given in curve#846. 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 03:18:07",
  "updated_at": "2026-10-24 03:18:07"
}