{
  "id": 6220,
  "curve_key": "10878561597899664626250666138035041:-1455437354354098188451356112057991298640628700947089",
  "ainvs": [
    "1",
    "0",
    "0",
    "-226636699956243013046888877875730",
    "1684533974946872884413789022232053656556284136452"
  ],
  "rank_lower_bound": 11,
  "torsion": [
    3
  ],
  "family": null,
  "families": [],
  "naive_height": 235.61429237067492,
  "faltings_height": 17.64530207344259,
  "conductor": "36739960730115773550895377256832735140590",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "19",
    "31",
    "43",
    "71",
    "79",
    "113",
    "137",
    "139",
    "157",
    "1723",
    "7669177",
    "275868873061"
  ],
  "discriminant": "-480842108146302658237049009835250841238218088922049770004409037784980307049962108600922238464000000",
  "regulator": "39650299674.0432485340351127332231034743086492735206319743123",
  "points": [
    [
      "-10065374970264276",
      "1716384680722587506103318"
    ],
    [
      "8606991577954044",
      "609493523132346129207678"
    ],
    [
      "12549070919320644",
      "903698706895080818514078"
    ],
    [
      "17900455913067684",
      "1833960450704517982090398"
    ],
    [
      "-1313985754102397605134/80089",
      "22513020834154576383115752248886/22665187"
    ],
    [
      "-4319779856623596924/529",
      "21041206269367525249602556626/12167"
    ],
    [
      "-2915619757471625244/169",
      "1489440309219603374268096246/2197"
    ],
    [
      "-1952624672793919176/121",
      "1420765307891173941560565918/1331"
    ],
    [
      "5392229308150696/9",
      "33603479148296013262297706/27"
    ],
    [
      "74767002967620024924/7225",
      "410779421023332012685600541862/614125"
    ],
    [
      "993718451629454052756/64009",
      "22367790922259063413692595220646/16194277"
    ]
  ],
  "submitter": "apkorte",
  "history": [],
  "commentary": "Specialization at T = 1275/157 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 00:01:57",
  "updated_at": "2026-10-31 00:01:57"
}