{
  "id": 6221,
  "curve_key": "3928560881626024906496907582001:-7789770175090799504752224331566113356158873001",
  "ainvs": [
    "1",
    "0",
    "0",
    "-81845018367208852218685574625",
    "9015937702651381495267247560797168531015625"
  ],
  "rank_lower_bound": 10,
  "torsion": [
    3
  ],
  "family": null,
  "families": [],
  "naive_height": 211.33828108324752,
  "faltings_height": 15.352666655243953,
  "conductor": "75862104980611350173204985583030",
  "bad_primes": [
    "2",
    "5",
    "7",
    "11",
    "13",
    "17",
    "19",
    "79",
    "101",
    "181",
    "281",
    "283",
    "463",
    "30493",
    "14470627"
  ],
  "discriminant": "-28193914363365699641381441974506028786600218840668850270598542356510308437520384000000",
  "regulator": "1630515037.177271660016226289856735400325534506221000814008",
  "points": [
    [
      "-201497827396950",
      "4162504436695081932875"
    ],
    [
      "-54899762927100",
      "3652908841311282882875"
    ],
    [
      "159512558854250",
      "138952592307346300875"
    ],
    [
      "168434466217310",
      "94498923595041737215"
    ],
    [
      "181069167319950",
      "364513211593849647875"
    ],
    [
      "219600571238650",
      "1277823467577151578475"
    ],
    [
      "1018209490148760",
      "31325864655706621970515"
    ],
    [
      "263719807617341530/1369",
      "31960500852372138058496575/50653"
    ],
    [
      "367283523676381650/1849",
      "61386101371066007920211425/79507"
    ],
    [
      "3028093554567630458/11449",
      "2968183131492118982704222961/1225043"
    ]
  ],
  "submitter": "apkorte",
  "history": [],
  "commentary": "Specialization at T = -1445/1111 of the fibration given in curve#6190. Found by Claude (Anthropic): a Mestre-Nagao sieve over the fibration, then a 2-covering point search seeded with its generic sections.",
  "created_at": "2026-10-31 00:12:32",
  "updated_at": "2026-10-31 00:12:32"
}