{
  "id": 5960,
  "curve_key": "127825895461695168:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-2663039488785316",
    "0"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    2,
    2
  ],
  "family": "congruent",
  "families": [
    "quartic",
    "congruent"
  ],
  "naive_height": 118.16833662367308,
  "faltings_height": 7.9156017969475805,
  "conductor": "42608631820565056",
  "bad_primes": [
    "2",
    "19",
    "31",
    "71",
    "617"
  ],
  "discriminant": "1208684055794893164790451414318656388011291807744",
  "regulator": "112839.323998191928974994469790667757228819915673",
  "points": [
    [
      "27450326876129/30976",
      "143576602964400908625/5451776"
    ],
    [
      "66115288038353/614656",
      "-471684765010481618457/481890304"
    ],
    [
      "7459158681225/139876",
      "5135639657527248645/52313624"
    ],
    [
      "7143396609989/112225",
      "-11177118401587473987/37595375"
    ],
    [
      "-409975/4",
      "132168093435/8"
    ]
  ],
  "submitter": "Lewis Combes",
  "history": [],
  "commentary": "Found by brute force searching of squarefree n (carried out by Claude code, Opus 5.5)",
  "created_at": "2026-10-26 22:31:21",
  "updated_at": "2026-10-26 22:31:21"
}