{
  "id": 5084,
  "curve_key": "-17079936156864:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "355832003268",
    "0"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 91.40677669918038,
  "faltings_height": 5.685471803239856,
  "conductor": "3126331223449826239008",
  "bad_primes": [
    "2",
    "3",
    "7",
    "19",
    "41",
    "257",
    "2351"
  ],
  "discriminant": "-2883467035893611830064987878762549248",
  "regulator": "1115582.2539894042433734991027034960012189421065599",
  "points": [
    [
      "3402",
      "34793388"
    ],
    [
      "1500282",
      "1977562188"
    ],
    [
      "5605684",
      "13347133604"
    ],
    [
      "1401421/9",
      "6568460227/27"
    ],
    [
      "5605684/289",
      "408379685084/4913"
    ],
    [
      "192264326653/3500641",
      "919501613786074949/6549699311"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained from the Aguirre–Castaneda–Peral parametrization at tuple (1,6,17,45), 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. Selected in a bounded tuple search using a small-prime sieve and height screening, following the search approach described by David Renshaw on https://elliptic-rank.icarm.cloud/curve/4986. Six rational points checked exactly; PARI/GP returned rank bounds [6,6]. Rational torsion C2.",
  "created_at": "2026-10-21 02:23:23",
  "updated_at": "2026-10-21 02:23:23"
}