{
  "id": 4101,
  "curve_key": "1500995137600:-1333836069357376000",
  "ainvs": [
    "0",
    "1",
    "0",
    "-31270732033",
    "1543781323364063"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2,
    2
  ],
  "naive_height": 84.11144828740277,
  "faltings_height": 5.033473675876521,
  "conductor": "6767505067200",
  "bad_primes": [
    "2",
    "3",
    "5",
    "41",
    "173",
    "197",
    "1009"
  ],
  "discriminant": "927432277900197949445760000000000",
  "regulator": "2929.7515631458810604526083179811773886286815676712",
  "points": [
    [
      "18563",
      "31140000"
    ],
    [
      "-176062",
      "39898125"
    ],
    [
      "-197341",
      "5447424"
    ],
    [
      "-4477",
      "41032800"
    ],
    [
      "-37687",
      "51660000"
    ],
    [
      "148313",
      "-12975000"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/2+Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-10-09 14:51:44",
  "updated_at": "2026-10-09 14:51:44"
}