{
  "id": 5096,
  "curve_key": "-37425024:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "779688",
    "0"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 52.31355038865698,
  "faltings_height": 2.427702944029572,
  "conductor": "5513953536",
  "bad_primes": [
    "2",
    "3",
    "7",
    "13",
    "17"
  ],
  "discriminant": "-30334896982693675008",
  "regulator": "125.17602728590438962033232123376120891856108",
  "points": [
    [
      "1",
      "883"
    ],
    [
      "441",
      "20727"
    ],
    [
      "3969/4",
      "334719/8"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained from the Aguirre–Castaneda–Peral parametrization at tuple (20,28,30,38), 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. Three rational points checked exactly; PARI/GP returned rank bounds [3,3]. Rational torsion C2.",
  "created_at": "2026-10-21 02:41:14",
  "updated_at": "2026-10-21 02:41:14"
}