{
  "id": 5600,
  "curve_key": "0:-16694208368680361400",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "19322000426713381"
  ],
  "rank_lower_bound": 11,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 88.52318705778877,
  "faltings_height": 5.434588163940693,
  "conductor": "131659388254401650311201474884075",
  "bad_primes": [
    "3",
    "5",
    "7",
    "63092246291309"
  ],
  "discriminant": "-161282750611642021631221806732991875",
  "regulator": "260653634845057813.882724241685114644552254170911100357892264",
  "points": [
    [
      "-380255146665271/1572598336",
      "4490360362607059685509/62362959612416"
    ],
    [
      "10056585383788561/345468870756",
      "28243366880391533588057461/203054856288771096"
    ],
    [
      "284407696170298969/1167359237136",
      "231824051495857326801620861/1261266283608168384"
    ],
    [
      "6892775845248521/21621937936",
      "723044537972563495314427/3179376241861184"
    ],
    [
      "630916065212308649/1731545437924",
      "592833489694864521547726473/2278509473946308968"
    ],
    [
      "51476965986458649669209/11513978017878436",
      "11680632461119089696039820826086169/1235486755131881501065816"
    ],
    [
      "77063440088221277009/275326985280400",
      "927865650662634473544470606777/4568495160217971592000"
    ],
    [
      "-33616276035534284234897159/325878573421582266276",
      "794162196047209382009070679881560133577/5882794933116630955472157864024"
    ],
    [
      "-422959763471852191895581351/2095528285935126540304",
      "10106186333044362534921871112541515735997/95926873761904632220353133846592"
    ],
    [
      "3052241894561201426464279001/747573048403880410000",
      "168651443103410024552984308598054958637251/20439979393291650964678661000000"
    ],
    [
      "1319328167930417330157978266274555049/4390738550128646094924898502724",
      "1982930082792287337337328081295534234355711926235342177/9200392731827541967316747343497333557676440632"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "The rational 3-isogenous partner of our accepted rank-11 Mordell curve obtained from the Burkhardt quartic with parameters (u,v,w) = (-2,6,-4), specialized at t = 67/404.",
  "created_at": "2026-10-23 21:44:04",
  "updated_at": "2026-10-23 21:44:04"
}