{
  "id": 5349,
  "curve_key": "-12354320668704:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "257381680598",
    "0"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 90.43508090860685,
  "faltings_height": 5.6044971540253945,
  "conductor": "4239701088476856936806656",
  "bad_primes": [
    "2",
    "7",
    "19",
    "31",
    "109",
    "233",
    "1229"
  ],
  "discriminant": "-1091221391385343330424111404672460288",
  "regulator": "3855956.16960795720995100782655706858493114523231461077",
  "points": [
    [
      "2458",
      "25152714"
    ],
    [
      "15463",
      "63115689"
    ],
    [
      "158922",
      "211937202"
    ],
    [
      "296856",
      "320258148"
    ],
    [
      "449407",
      "454350477"
    ],
    [
      "937727",
      "1032437427"
    ],
    [
      "168664273/36",
      "2203261398199/216"
    ],
    [
      "168664273/1024",
      "7093513329561/32768"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained from the Aguirre–Castaneda–Peral parametrization at tuple (3,8,16,30), 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. Eight supplied rational points checked exactly; PARI/GP returned rank bounds [8,8]. Rational torsion C2.",
  "created_at": "2026-10-21 15:27:08",
  "updated_at": "2026-10-21 15:27:08"
}