{
  "id": 5195,
  "curve_key": "-215424:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "4488",
    "0"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 36.84109037433127,
  "faltings_height": 1.1383312761690962,
  "conductor": "80568576",
  "bad_primes": [
    "2",
    "3",
    "11",
    "17"
  ],
  "discriminant": "-5785468305408",
  "regulator": "29.595254924420519147989644223541673498277410",
  "points": [
    [
      "1",
      "67"
    ],
    [
      "33",
      "429"
    ],
    [
      "33/4",
      "1551/8"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained from the Aguirre–Castaneda–Peral parametrization at tuple (3,6,15,18), 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 09:25:39",
  "updated_at": "2026-10-21 09:25:39"
}