{
  "id": 5294,
  "curve_key": "-509636194704:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "10617420723",
    "0"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 80.87088889318933,
  "faltings_height": 4.807481152740602,
  "conductor": "3607347929894074967328",
  "bad_primes": [
    "2",
    "3",
    "7",
    "13",
    "19",
    "43",
    "181",
    "263"
  ],
  "discriminant": "-76601461331857005506047710276288",
  "regulator": "180681.0880867547145922203030008481433848128592064263",
  "points": [
    [
      "24073",
      "16417786"
    ],
    [
      "58825",
      "28777190"
    ],
    [
      "74347",
      "34645702"
    ],
    [
      "101179",
      "45935266"
    ],
    [
      "284713",
      "161561686"
    ],
    [
      "1035139/9",
      "1413999874/27"
    ],
    [
      "4140556/25",
      "9922842454/125"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 2-isogenous endpoint of the Aguirre–Castañeda–Peral parametrization at tuple (10,12,16,17), reduced by rational fourth-power scaling. Reference: “High rank elliptic curves with torsion group Z/(2Z),” Math. Comp. 73 (2004), 323–331, doi:10.1090/S0025-5718-03-01547-3.",
  "created_at": "2026-10-21 12:20:32",
  "updated_at": "2026-10-21 12:20:32"
}