{
  "id": 1961,
  "curve_key": "6820651698607835454680481441:-475233106727043595479692452031301154245489",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-142096910387663238639176697",
    "550038317971150796773537253808850944921"
  ],
  "rank_lower_bound": 19,
  "torsion": [],
  "naive_height": 192.26925760532984,
  "faltings_height": 14.018745977408841,
  "conductor": "177607531599020359811307295591679202791520350147804852864410",
  "bad_primes": [
    "2",
    "5",
    "7",
    "13",
    "19",
    "29",
    "31",
    "37",
    "41",
    "725789",
    "1732043",
    "193281535595769391137786719851098799"
  ],
  "discriminant": "52927666180213562582728312417953848310983675587489682753837525862224293696000000",
  "regulator": "28276277713264184.10135669280204752463420545125628653819417739926459234621903",
  "points": [
    [
      "239041706771419/4",
      "3626402426039224892477/8"
    ],
    [
      "9215360632831",
      "4812368158846165804"
    ],
    [
      "24864376424102035749016339/788911674849",
      "-115944763389660657690633865742197508608/700716871982605743"
    ],
    [
      "151563568530211/36",
      "-1110248263368923923381/216"
    ],
    [
      "145044276154501/16",
      "167712508760187796941/64"
    ],
    [
      "36850468894391",
      "-212967280833749508916"
    ],
    [
      "13549431088611",
      "33349754097973521744"
    ],
    [
      "-575554536621919/256",
      "119988679601705180284169/4096"
    ],
    [
      "1447105561480771/121",
      "-31531161358214462768316/1331"
    ],
    [
      "2725851197962494309/237169",
      "-2409222508025051841401286768/115501303"
    ],
    [
      "37066699455635301/1681",
      "-6217452455379722749705046/68921"
    ],
    [
      "8999350710831",
      "-317211973116210196"
    ],
    [
      "168662423157251911/676",
      "69189303219224796940623819/17576"
    ],
    [
      "19149531578511",
      "69650328477539976044"
    ],
    [
      "459889947613109039/38809",
      "176046231392742603622540892/7645373"
    ],
    [
      "-119595998482592935401/660644209",
      "407446623870896486541738793268788/16980538103927"
    ],
    [
      "18150192019163945920039/1169161249",
      "1825598880046035997633048464646508/39977130587057"
    ],
    [
      "-81424477657540460176041/21072296569",
      "98714203944256413582296402462574468/3058917786845747"
    ],
    [
      "-831032813387018452173721/72163688689",
      "497725515704182219075304181589203628/19385548183592137"
    ]
  ],
  "submitter": "Ritik Jain",
  "history": [],
  "commentary": null,
  "created_at": "2026-09-25 20:06:51",
  "updated_at": "2026-09-25 20:06:51"
}