{
  "id": 1497,
  "curve_key": "-19904:-2644480",
  "ainvs": [
    "0",
    "1",
    "0",
    "415",
    "3199"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    2
  ],
  "naive_height": 29.696027986616716,
  "faltings_height": 0.5929212601520111,
  "conductor": "61376",
  "bad_primes": [
    "2",
    "7",
    "137"
  ],
  "discriminant": "-8610316288",
  "regulator": "4.4662107762872055811400695032377684366807333",
  "points": [
    [
      "-5",
      "32"
    ],
    [
      "11",
      "96"
    ],
    [
      "43",
      "320"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 00:41:19",
  "updated_at": "2026-09-25 00:41:19"
}