{
  "id": 5246,
  "curve_key": "-1907369934624:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "39736873638",
    "0"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 84.83023923442693,
  "faltings_height": 5.1374270145104015,
  "conductor": "11228580455270253191424",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "19",
    "29",
    "61",
    "853"
  ],
  "discriminant": "-4015698144166715059870935419524608",
  "regulator": "144011.4618306429118136304837208831535586683307290336",
  "points": [
    [
      "5016",
      "14122548"
    ],
    [
      "194712",
      "122960628"
    ],
    [
      "268888",
      "173567204"
    ],
    [
      "705831",
      "616190463"
    ],
    [
      "2451834",
      "3851831214"
    ],
    [
      "58377/4",
      "193169493/8"
    ],
    [
      "705831/25",
      "4228633521/125"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained from the Aguirre–Castaneda–Peral parametrization at tuple (4,8,17,22), 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 following the parametrization search described by David Renshaw on https://elliptic-rank.icarm.cloud/curve/4986. Seven rational points checked exactly; PARI/GP returned rank bounds [7,7]. Rational torsion C2.",
  "created_at": "2026-10-21 11:01:29",
  "updated_at": "2026-10-21 11:01:29"
}