{
  "id": 5303,
  "curve_key": "1220459376:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-25426237",
    "0"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 62.76747948757189,
  "faltings_height": 3.298863702272481,
  "conductor": "20687792895365408",
  "bad_primes": [
    "2",
    "17",
    "19",
    "223",
    "353"
  ],
  "discriminant": "1052025450328954130819392",
  "regulator": "17029.818929277147392034590510657859401192751087340",
  "points": [
    [
      "-4237",
      "177954"
    ],
    [
      "-3791",
      "204714"
    ],
    [
      "5168",
      "81396"
    ],
    [
      "8993",
      "706146"
    ],
    [
      "-72029/81",
      "107899442/729"
    ],
    [
      "-3791/64",
      "19868631/512"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 2-isogeny partner of curve #5302: https://elliptic-rank.icarm.cloud/curve/5302. Both arise from the Aguirre–Castañeda–Peral parametrization at tuple (4,11,13,20), 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.",
  "created_at": "2026-10-21 12:46:22",
  "updated_at": "2026-10-21 12:46:22"
}