{
  "id": 5098,
  "curve_key": "-301525440:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "6281780",
    "0"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 58.573094846044,
  "faltings_height": 2.949331648811824,
  "conductor": "78921519936800",
  "bad_primes": [
    "2",
    "5",
    "19",
    "61",
    "271"
  ],
  "discriminant": "-15864564016274928128000",
  "regulator": "870.8152118298025448803806764495857264404830562",
  "points": [
    [
      "61",
      "19581"
    ],
    [
      "196",
      "35196"
    ],
    [
      "2000",
      "143400"
    ],
    [
      "3904",
      "289872"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained from the Aguirre–Castaneda–Peral parametrization at tuple (3,23,24,44), 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 by height screening in a bounded tuple search, following the parametrization search described by David Renshaw on https://elliptic-rank.icarm.cloud/curve/4986. Four rational points checked exactly; PARI/GP returned rank bounds [4,4]. Rational torsion C2.",
  "created_at": "2026-10-21 02:44:09",
  "updated_at": "2026-10-21 02:44:09"
}