{
  "id": 5537,
  "curve_key": "38016309521316416352297912016:-7364947372651112482784533484523172022352064",
  "ainvs": [
    "0",
    "1",
    "0",
    "-792006448360758674006206500",
    "8524244644271856926999312020862335920000"
  ],
  "rank_lower_bound": 19,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 197.42343832924774,
  "faltings_height": 14.298018894869834,
  "conductor": "91251885710022697113605305199452514975545635221752617836280",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "23",
    "67",
    "79",
    "177889249",
    "5016295709628117627296459763278349477800597"
  ],
  "discriminant": "405227646305489906418561720824592803588715059015040591678426006621743077737120000",
  "regulator": "228409919355434557.9254764055800931073184232077082793809789362694606878462915",
  "points": [
    [
      "-8563038077670",
      "-121154182485084358470"
    ],
    [
      "-7190793230550",
      "-117675746262117379350"
    ],
    [
      "5564268441390",
      "-65494915351732179810"
    ],
    [
      "281727486946425/16",
      "393505249936470482475/64"
    ],
    [
      "100859587904370",
      "-977063324625274358430"
    ],
    [
      "12674428383450",
      "22848417764694329850"
    ],
    [
      "7605290303010",
      "54228212441464968690"
    ],
    [
      "-1585967515026",
      "-98875436636911191390"
    ],
    [
      "-17506035118662",
      "130476877897205727846"
    ],
    [
      "25516706194190",
      "-70205660465810124990"
    ],
    [
      "-31891256315925",
      "36704930977689206400"
    ],
    [
      "11574652700640",
      "30128577998907850560"
    ],
    [
      "14969419513770",
      "4771591644514011030"
    ],
    [
      "34330649585572551/1849",
      "-1178642746808670378923730/79507"
    ],
    [
      "17314126654224",
      "1325120947526534760"
    ],
    [
      "-3708962249082",
      "106821087292765321434"
    ],
    [
      "68764597395474",
      "528413136116941260990"
    ],
    [
      "-129664387374315/4",
      "92972156872466051145/8"
    ],
    [
      "14459907500130",
      "-9762744235240526670"
    ]
  ],
  "submitter": "apkorte",
  "history": [],
  "commentary": "Specialization at T = -9/14 of the rank-17 fibration of X1008 given in curve#3594. Found by Claude (Anthropic): a Mestre-Nagao sieve over the fibration, then a 2-covering point search seeded with its generic sections.",
  "created_at": "2026-10-22 23:38:23",
  "updated_at": "2026-10-22 23:38:23"
}