{
  "id": 5502,
  "curve_key": "0:300511154815554782622128639392800",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-347813836592077294701537777075"
  ],
  "rank_lower_bound": 13,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 149.5660753279162,
  "faltings_height": 10.521495519784645,
  "conductor": "13509068122816118157587695955324550113332646320712100",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "19",
    "15643",
    "23173",
    "80359549469599"
  ],
  "discriminant": "-52260968847556906491388686445942055973001896233759594880030000",
  "regulator": "4823598239037211.190562810041235364769669066268275589376139858884",
  "points": [
    [
      "47000025503740911/1352569",
      "-10147044981017667008797434/1573037747"
    ],
    [
      "11514245758929291/231361",
      "-1233785470943395483919064/111284641"
    ],
    [
      "1245259657517799/160801",
      "22019074467809464471482/64481201"
    ],
    [
      "29380143807155631/2948089",
      "-4055719975384264824852054/5061868813"
    ],
    [
      "332954261234931/1849",
      "-6075246880131961783104/79507"
    ],
    [
      "3813995994595593499/66699889",
      "7441594738471577716950324232/544737993463"
    ],
    [
      "277137217084740686751/8499918025",
      "4590418199434954899185923155126/783649942314875"
    ],
    [
      "8705768115764525911/614593681",
      "24063862396918871674617817634/15236391945671"
    ],
    [
      "195912306684944087371/9156001969",
      "-2693039694607588215790577379556/876110360407703"
    ],
    [
      "56052645560155004299/6000826225",
      "317730901850253182881659517532/464854003519625"
    ],
    [
      "7082533819",
      "86384289452572"
    ],
    [
      "7253896251",
      "184062513099276"
    ],
    [
      "2667706904682680345002189662900573199/273811867831694667626439289",
      "3441667302157870852359108995390611946365320085933332382/4530836617554214149801931888748583425587"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Mordell curve of rank at least 13, discovered using Mestre's polynomial cube-completion construction with sextuple (-34,-33,-10,14,25,38).",
  "created_at": "2026-10-22 15:27:40",
  "updated_at": "2026-10-22 15:27:40"
}