{
  "id": 5228,
  "curve_key": "-420928704:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "8769348",
    "0"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 59.57392208441046,
  "faltings_height": 3.0327339186756954,
  "conductor": "17089214298912",
  "bad_primes": [
    "2",
    "3",
    "7",
    "17",
    "23",
    "89"
  ],
  "discriminant": "-43160044963315780620288",
  "regulator": "429.433510772698785864760387036528665866826454847",
  "points": [
    [
      "714",
      "81396"
    ],
    [
      "1173",
      "109089"
    ],
    [
      "1428",
      "124236"
    ],
    [
      "2346",
      "182988"
    ],
    [
      "4692",
      "380052"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 2-isogeny partner of curve #5227: https://elliptic-rank.icarm.cloud/curve/5227. Obtained from the Aguirre–Castaneda–Peral parametrization at tuple (3,7,15,19), 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 10:37:28",
  "updated_at": "2026-10-21 10:37:28"
}