{
  "id": 5230,
  "curve_key": "-2446766784:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "50974308",
    "0"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 64.85409992987562,
  "faltings_height": 3.472748739131125,
  "conductor": "11784036626208",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "37",
    "71"
  ],
  "discriminant": "-8476840083142876532871168",
  "regulator": "2315.77192781975109003522598549695733970065071132",
  "points": [
    [
      "148",
      "86876"
    ],
    [
      "781",
      "200717"
    ],
    [
      "1332",
      "265068"
    ],
    [
      "1813",
      "313649"
    ],
    [
      "3136",
      "436688"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 2-isogeny partner of curve #5229: https://elliptic-rank.icarm.cloud/curve/5229. Obtained from the Aguirre–Castaneda–Peral parametrization at tuple (4,5,14,20), 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. Five rational points checked exactly; PARI/GP returned rank bounds [5,5]. Rational torsion C2.",
  "created_at": "2026-10-21 10:40:20",
  "updated_at": "2026-10-21 10:40:20"
}