{
  "id": 73,
  "curve_key": "6292452822641292467497471809354043276553425:-9947944978453598835810957246660421060029615177226994118242505625",
  "ainvs": [
    "1",
    "0",
    "0",
    "-131092767138360259739530662694875901594863",
    "11513825206543517171066572416002846205241167788788151682092217"
  ],
  "rank_lower_bound": 18,
  "naive_height": 295.64377456906215,
  "faltings_height": 22.67507446318193,
  "conductor": "288223154151653778337307627146202434973670195623654112440970678577409850",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "19",
    "29",
    "41",
    "43",
    "47",
    "73",
    "89",
    "131",
    "139",
    "239",
    "271",
    "353",
    "421",
    "541",
    "1093",
    "1213",
    "1559",
    "1597",
    "2137",
    "41863",
    "11763979",
    "120637667"
  ],
  "discriminant": "86914250236990244258622004202917499782878882540759655403422203387191788671749916349755506236622734346581449244863408384000000",
  "regulator": "79812493268609555646.384269644382536214993392374265076604666601157836610205",
  "points": [
    [
      "93922761628601831142",
      "172536183142846547019651383229"
    ],
    [
      "-50129317073713395258",
      "-4237858386924835972521216331971"
    ],
    [
      "-85586222512760289858",
      "-4701769957935207215670356805771"
    ],
    [
      "-112226086720247238258",
      "-4981204691390384388312280789971"
    ],
    [
      "-6382114264687965138",
      "-3514287164324372791040569133331"
    ],
    [
      "-61975801758421286388",
      "-4404583464940048579421718953331"
    ],
    [
      "8805951679868879506902",
      "825658977348831750165246207555549"
    ],
    [
      "1063693026478103739858",
      "32796024716695803287365470950325"
    ],
    [
      "39058033423837004262",
      "2540311738090645849720634292669"
    ],
    [
      "306172033454233460742",
      "279024851751328167924122015229"
    ],
    [
      "-190899016575756710598",
      "-5438977902059130788276281233951"
    ],
    [
      "2058431396010984516618",
      "91997445485354914650555923853105"
    ],
    [
      "-268567728817069704177/4",
      "-35788685082941237533491020134023/8"
    ],
    [
      "350084920332270917759742",
      "207138045545955430308281145901442229"
    ],
    [
      "233038728147301046705862",
      "112497177953178712068114804246204669"
    ],
    [
      "523312432158494847942",
      "9285663592140230654731106188029"
    ],
    [
      "402009359485387238802",
      "4876746000213639259008862651449"
    ],
    [
      "5764113665374889509776198/11881",
      "10205816958752115947930462213486633025/1295029"
    ]
  ],
  "submitter": "David Renshaw",
  "commentary": "Provenance: Maksym Voznyy (2023), as listed on Andrej Dujella’s high-rank elliptic-curve tables for torsion group Z/2Z. Dujella’s page lists this curve y^2 + xy = x^3 - 131092767138360259739530662694875901594863*x + 11513825206543517171066572416002846205241167788788151682092217 and the 18 independent points submitted here.",
  "created_at": "2026-06-01 14:26:54",
  "updated_at": "2026-07-01 22:33:41"
}