{
  "id": 4098,
  "curve_key": "16762709084128:-50287766243272211584",
  "ainvs": [
    "0",
    "1",
    "0",
    "-349223105919",
    "58203316744233457"
  ],
  "rank_lower_bound": 10,
  "torsion": [
    2
  ],
  "naive_height": 91.35053351335382,
  "faltings_height": 5.635412556637202,
  "conductor": "5113284222183888540933248",
  "bad_primes": [
    "2",
    "7",
    "23",
    "103",
    "137",
    "193",
    "367",
    "1327",
    "2417",
    "11057"
  ],
  "discriminant": "1262307660291060760412209721138853632",
  "regulator": "29281214.42293003304189675174283075479514434174229375129221",
  "points": [
    [
      "651192",
      "-327003181"
    ],
    [
      "-451417",
      "351937816"
    ],
    [
      "-119831",
      "-313576746"
    ],
    [
      "489893/4",
      "-1051320073/8"
    ],
    [
      "25679",
      "-221929156"
    ],
    [
      "680528",
      "-368392031"
    ],
    [
      "-454457/9",
      "-7429106132/27"
    ],
    [
      "-2526523/4",
      "1309412167/8"
    ],
    [
      "-1602968/9",
      "9146292967/27"
    ],
    [
      "1157624",
      "1097843251"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-10-09 14:51:12",
  "updated_at": "2026-10-09 14:51:12"
}