{
  "id": 5282,
  "curve_key": "-30237122365632:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "629940049284",
    "0"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 93.12027450853567,
  "faltings_height": 5.828263287352797,
  "conductor": "793648931383856697825312",
  "bad_primes": [
    "2",
    "3",
    "7",
    "13",
    "19",
    "43",
    "47",
    "83",
    "181"
  ],
  "discriminant": "-15998439902404499921602257180885651456",
  "regulator": "9087665.36374725806404936290498361877970250268141935142",
  "points": [
    [
      "498",
      "17711868"
    ],
    [
      "6708",
      "65007228"
    ],
    [
      "263442",
      "429227196"
    ],
    [
      "307098",
      "471609468"
    ],
    [
      "386058",
      "548390172"
    ],
    [
      "418818",
      "580770588"
    ],
    [
      "6820313682",
      "563256908184516"
    ],
    [
      "6541977/4",
      "18598840611/8"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 2-isogeny partner of curve #5281: https://elliptic-rank.icarm.cloud/curve/5281. Both arise from the Aguirre–Castañeda–Peral parametrization at tuple (3,6,9,17), 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.",
  "created_at": "2026-10-21 12:02:56",
  "updated_at": "2026-10-21 12:02:56"
}