{
  "id": 6030,
  "curve_key": "42387836958456165356398401:-286103192859511785301874187406297190625",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-883079936634503444924967",
    "331137954698729780750216713137038175"
  ],
  "rank_lower_bound": 19,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 177.09883181544362,
  "faltings_height": 12.680578641922594,
  "conductor": "4007383167207271599881499506623453435050385271176739577779054",
  "bad_primes": [
    "2",
    "7",
    "13",
    "37",
    "107",
    "6977",
    "797141201500893134662305029470820990225846787620179"
  ],
  "discriminant": "-3296060669554050015368683381814754064586482571968180774314059193671902208",
  "regulator": "897873341989003830.0826642229561791747227408643806012389780931941749079998731",
  "points": [
    [
      "-468738313073",
      "801300572523444690"
    ],
    [
      "511683238491",
      "115106319014370926"
    ],
    [
      "735441462271",
      "-281896849571529314"
    ],
    [
      "581775772905",
      "119553230616947754"
    ],
    [
      "146684816801",
      "-452503852740358604"
    ],
    [
      "2050151370055",
      "-2671652939457954210"
    ],
    [
      "193476664923",
      "409298142002036334"
    ],
    [
      "2222423561419",
      "-3057038937267934650"
    ],
    [
      "659363595315",
      "-188500570397967586"
    ],
    [
      "47968853721",
      "537482998306454442"
    ],
    [
      "301338115503",
      "303965662925626034"
    ],
    [
      "534195599907",
      "108817162307479950"
    ],
    [
      "99796169395751/121",
      "-538745989353330726278/1331"
    ],
    [
      "-204818428845",
      "709518774593886590"
    ],
    [
      "25735869221551/4",
      "-129241387468225118985/8"
    ],
    [
      "477880013035",
      "-135147678453186066"
    ],
    [
      "1227695578163",
      "1047573786816176302"
    ],
    [
      "-16564727210221/25",
      "-98849937575192742418/125"
    ],
    [
      "107331383840327/121",
      "659836773125889422662/1331"
    ]
  ],
  "submitter": "apkorte",
  "history": [],
  "commentary": "Specialization at T = 1/7 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": "2026-10-28 14:06:36",
  "updated_at": "2026-10-28 14:06:36"
}