{
  "id": 5853,
  "curve_key": "151398476037850819430141146576:-70106904437557451249153190758853810874730176",
  "ainvs": [
    "0",
    "1",
    "0",
    "-3154134917455225404794607220",
    "81142250506431183863769633858723645865568"
  ],
  "rank_lower_bound": 19,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 201.91719037811322,
  "faltings_height": 14.82182490008167,
  "conductor": "712390990648684149085476851096868189413638843337350011960",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "17",
    "19",
    "61",
    "89",
    "42016714997",
    "2980207120993379",
    "17476559978303266459"
  ],
  "discriminant": "-836052141990873647723521844258707683657868889166059158297066537416473360833500000000",
  "regulator": "9039964248284990.875684887327884900605253004657934182818555794290211649804478",
  "points": [
    [
      "78226154341706",
      "559551744135131816250"
    ],
    [
      "23602565776706",
      "-140872698631354121250"
    ],
    [
      "-19950289506322",
      "-368954820674464586562"
    ],
    [
      "65464357410956",
      "393969177324830079000"
    ],
    [
      "-54520766351044",
      "-301735586401738398000"
    ],
    [
      "27607371864716",
      "-122907697903241498520"
    ],
    [
      "-56779928745169",
      "-277808512809268008750"
    ],
    [
      "-19112011965169",
      "366664818688891076250"
    ],
    [
      "-196782302614051/4",
      "-2739323967061315417875/8"
    ],
    [
      "-65442836632894",
      "-85331735762276326050"
    ],
    [
      "-6842039443414",
      "-320004165882883391910"
    ],
    [
      "-37754732781304",
      "382634846860353731280"
    ],
    [
      "34457425628906",
      "-115631618745295229850"
    ],
    [
      "78879054524186",
      "568440914478839610390"
    ],
    [
      "87768408938126",
      "693119521252548097890"
    ],
    [
      "57334290114206",
      "-297947371895295491250"
    ],
    [
      "44091132934331",
      "-166695127989750864000"
    ],
    [
      "29898765322706",
      "-116469302859088656750"
    ],
    [
      "37288108670456",
      "124000100406544635000"
    ]
  ],
  "submitter": "apkorte",
  "history": [],
  "commentary": "Specialization at T = -11/16 of the rank-17 fibration of X1152 given in curve#848. Found by Claude (Anthropic): a Mestre-Nagao sieve over the fibration, then a 2-covering point search seeded with its generic sections.",
  "created_at": "2026-10-25 12:16:13",
  "updated_at": "2026-10-25 12:16:13"
}