{
  "id": 5599,
  "curve_key": "0:-765098862034913788536",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "885531090318187255"
  ],
  "rank_lower_bound": 11,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 96.17307346157577,
  "faltings_height": 6.0720786975896095,
  "conductor": "41735582127674531636546296520307",
  "bad_primes": [
    "3",
    "7",
    "11",
    "37",
    "292343",
    "1492747"
  ],
  "discriminant": "-338759414749490766062050616142324377907",
  "regulator": "285504263717166.409676058624072689358403493382914503587742004",
  "points": [
    [
      "-12030129572166527/12738733956",
      "299174896090611183126853/1437769946677896"
    ],
    [
      "-12997314559015/14167696",
      "17961811078211317245/53327207744"
    ],
    [
      "-8687562288719/9511056",
      "10305496553577190793/29332096704"
    ],
    [
      "-124808520646207/203176516",
      "2341585687654016539899/2896078059064"
    ],
    [
      "-2126307780847/15413476",
      "56860159229029946613/60513306776"
    ],
    [
      "20424785486345/34550884",
      "212237827723347975335/203090096152"
    ],
    [
      "753837492137/964324",
      "1105657934184096689/946966168"
    ],
    [
      "457414373754545/311663716",
      "11068502055742396439845/5502111242264"
    ],
    [
      "2724215402651737/876041604",
      "144266117028253501948937/25929079395192"
    ],
    [
      "20951894954040185/3147434404",
      "3037287140732142338197215/176577364933208"
    ],
    [
      "683820447251489/5330460100",
      "366662116546255378205013/389176891901000"
    ]
  ],
  "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) = (3,-2,-6), specialized at t = -169/16.",
  "created_at": "2026-10-23 21:43:11",
  "updated_at": "2026-10-23 21:43:11"
}