{
  "id": 5308,
  "curve_key": "-145237194005904:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "3025774875123",
    "0"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 97.82816802774623,
  "faltings_height": 6.22058774728701,
  "conductor": "32552226115291044424053792",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "13",
    "19",
    "31",
    "43",
    "89",
    "149"
  ],
  "discriminant": "-1772922742361467548173848943032223095488",
  "regulator": "9648445.49851155856317759432089342901982160532901237500",
  "points": [
    [
      "9387",
      "168534198"
    ],
    [
      "75867",
      "479575998"
    ],
    [
      "4626843",
      "10632485214"
    ],
    [
      "5904171",
      "14955921162"
    ],
    [
      "654417/4",
      "5653508463/8"
    ],
    [
      "23958753/4",
      "122117764041/8"
    ],
    [
      "23958753/121",
      "1036886912334/1331"
    ],
    [
      "14264307057/29584",
      "6377857778739447/5088448"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 2-isogeny partner of curve #5307: https://elliptic-rank.icarm.cloud/curve/5307. Both arise from the Aguirre–Castañeda–Peral parametrization at tuple (12,16,18,19), 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.",
  "created_at": "2026-10-21 12:53:24",
  "updated_at": "2026-10-21 12:53:24"
}