{
  "id": 1560,
  "curve_key": "124141005120001:-1385478737719987680001",
  "ainvs": [
    "1",
    "0",
    "0",
    "-2586270940000",
    "1603563138320000000"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    7
  ],
  "naive_height": 97.3606653835831,
  "faltings_height": 5.905927624665056,
  "conductor": "681955890",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "295219"
  ],
  "discriminant": "-3712760084559933236106196254720000000",
  "regulator": "16.287699850837494907861785100431905436999488",
  "points": [
    [
      "133100",
      "1123182500"
    ],
    [
      "3690500",
      "6503750000"
    ],
    [
      "1022450",
      "167131250"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/7. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 01:05:49",
  "updated_at": "2026-09-25 01:05:49"
}