{
  "id": 4571,
  "curve_key": "15978361:-63732909005",
  "ainvs": [
    "1",
    "1",
    "0",
    "-332882",
    "73626240"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 49.76023778200514,
  "faltings_height": 1.9488597729482682,
  "conductor": "407479401186",
  "bad_primes": [
    "2",
    "3",
    "11",
    "13",
    "29",
    "313",
    "52321"
  ],
  "discriminant": "10138902460310052",
  "regulator": "293.58975855152314742564726472581463313024140866820",
  "points": [
    [
      "146",
      "5234"
    ],
    [
      "294",
      "-1278"
    ],
    [
      "-538",
      "10136"
    ],
    [
      "386",
      "1490"
    ],
    [
      "262",
      "-2248"
    ],
    [
      "958",
      "-25680"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "From Michael Rubinstein's elliptic-curves-by-rank repository, torsion/torsion_Z2.tsv.gz: https://github.com/mrubinst/elliptic-curves-by-rank. Six supplied rational points checked exactly and certified independent modulo torsion. Rational torsion C2. Source-attributed existing curve.",
  "created_at": "2026-10-18 02:07:24",
  "updated_at": "2026-10-18 02:07:24"
}