{
  "id": 6156,
  "curve_key": "7012442728183036363534753425:-529616317036407710790703353774759943565625",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-146092556837146590906974030",
    "612981848421804706924745575738884085597"
  ],
  "rank_lower_bound": 19,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 192.352450843652,
  "faltings_height": 14.002236519559316,
  "conductor": "559447334357790496599073662977426523846207507784294995150",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "23",
    "71",
    "191",
    "154291",
    "28624205431",
    "11720938414325923058883403637417"
  ],
  "discriminant": "37233154484535096496795062233824479562515805898776454513939638621448995584000000",
  "regulator": "13292365026943874.68124955077984636962709612256909898995608339499135824937328",
  "points": [
    [
      "4410027516109",
      "-7380881508280469605"
    ],
    [
      "11520618762329",
      "21423704630464017235"
    ],
    [
      "-4307364367091",
      "-34093098623161983205"
    ],
    [
      "8746824440569",
      "-2080546385535903085"
    ],
    [
      "-5382563856791",
      "35261749083075666995"
    ],
    [
      "4990796733529",
      "2859126340963921235"
    ],
    [
      "32596123945369",
      "174598237645303525715"
    ],
    [
      "-1600279419671",
      "-29028823050949185565"
    ],
    [
      "1869200930119",
      "18612799206095455715"
    ],
    [
      "4800585019753",
      "-4720653845365336525"
    ],
    [
      "-12373530045431",
      "-22939534012505241085"
    ],
    [
      "-2609975904167",
      "31249014296921407571"
    ],
    [
      "9520697956369",
      "9223331469533080715"
    ],
    [
      "-11359274095031",
      "28403611156032966515"
    ],
    [
      "37557430209851/4",
      "-66468767916478581055/8"
    ],
    [
      "-105548614081439/9",
      "721115684986206660545/27"
    ],
    [
      "8949929875409",
      "4729079271064589795"
    ],
    [
      "4359061341619",
      "7680086920038644465"
    ],
    [
      "9853056567569",
      "-11405494411332090485"
    ]
  ],
  "submitter": "apkorte",
  "history": [],
  "commentary": "Specialization at T = 11/5 of the rank-16 fibration of X1008 given in curve#3762. Found by Claude (Anthropic): a Mestre-Nagao sieve over the fibration, then a 2-covering point search seeded with its generic sections.",
  "created_at": "2026-10-29 19:08:53",
  "updated_at": "2026-10-29 19:08:53"
}