{
  "id": 4883,
  "curve_key": "-447400139150039232:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "9320836232292484",
    "0"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 121.92668926495793,
  "faltings_height": 8.228797850387984,
  "conductor": "74566689858339872",
  "bad_primes": [
    "2",
    "23",
    "31",
    "79",
    "857"
  ],
  "discriminant": "-51825631934990456881060927817683752112820840697856",
  "regulator": "7536315.77460799103724110608536719228108926902754",
  "points": [
    [
      "20400980224/225",
      "4256459092185632/3375"
    ],
    [
      "10239641603136/137641",
      "53682236215369758480/51064811"
    ],
    [
      "24676254950400/247009",
      "170467301152064688960/122763473"
    ],
    [
      "1561395615215516224/68047417881",
      "8437768863855369013071532880/17750781381019779"
    ],
    [
      "1592443903565318400/12083945329",
      "2491110213980795651893011360/1328351858180983"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained by a rational 2-isogeny from curve #4720, submitted by David Renshaw and sourced to Table 2 of Watkins, Donnelly, Elkies, Fisher, Granville and Rogers, Ranks of quadratic twists of elliptic curves (2014): https://doi.org/10.5802/pmb.9. Five rational points transported through the isogeny and checked exactly. Rational torsion C2. Same rank and conductor as the source. Source-attributed existing curve.",
  "created_at": "2026-10-20 22:27:15",
  "updated_at": "2026-10-20 22:27:15"
}