{
  "id": 380,
  "curve_key": "286878312415894415120939689:-4216326353914923211254324408974887585813",
  "ainvs": [
    "1",
    "0",
    "1",
    "-5976631508664466981686244",
    "4880007354067700108548264545546534926"
  ],
  "rank_lower_bound": 18,
  "torsion": [],
  "naive_height": 182.76330107745906,
  "faltings_height": 13.218168737359893,
  "conductor": "695690052078788613195618456450521057534158713035141287375452645630",
  "bad_primes": [
    "2",
    "3",
    "5",
    "157",
    "454823",
    "3225628963",
    "181698452977764914747",
    "554098313172672140912966851"
  ],
  "discriminant": "3375253455561014613462251472724013716887400077887837382135225875155809632100",
  "regulator": "45273221819276719028.787688152305149482362516246973655696251028597824629923",
  "points": [
    [
      "-765919616696",
      "-3001384806186560707"
    ],
    [
      "11596405929564064/3025",
      "1029718519147747920935078/166375"
    ],
    [
      "-762620691224654/289",
      "7412111953375585848814/4913"
    ],
    [
      "4898838556213",
      "9652293418155231293"
    ],
    [
      "9109015149564566287/2968729",
      "-20091943740108204129586568779/5115120067"
    ],
    [
      "3983174245470501/49",
      "251275078931300220092059/343"
    ],
    [
      "6073277648197233583/3308761",
      "1843984939993591363018059797/6018636259"
    ],
    [
      "-1050614784145598/2809",
      "395661499615016353507126/148877"
    ],
    [
      "69464002705863695056/30525625",
      "295188573425844857913002553346/168654078125"
    ],
    [
      "131543771845963/196",
      "2969539478909659351177/2744"
    ],
    [
      "43391344413828386242/1968409",
      "-284130279328111762496878096739/2761677827"
    ],
    [
      "609136903475220422449/66455104",
      "14538678343790470032938269519973/541742007808"
    ],
    [
      "13190206622439193/4096",
      "1143505507111037828887517/262144"
    ],
    [
      "5985757895923",
      "13548828656249720063"
    ],
    [
      "-21498493221107/16",
      "-207232432563241832143/64"
    ],
    [
      "6527740523031",
      "15621208157441614081"
    ],
    [
      "874985208506803",
      "25882091378649689235533"
    ],
    [
      "-2435389291709",
      "2234020723930872701"
    ]
  ],
  "submitter": "Christopher R. Hill",
  "commentary": "Found with Rank Hunter v0.8.0; family=Fermigier--Mestre K3, arithmetic generic rank = 12; parameter=626/3; local status: rigorous rank lower bound >= 18.",
  "created_at": "2026-08-27 02:20:18",
  "updated_at": "2026-08-27 02:20:18"
}