{
  "id": 1343,
  "curve_key": "178124589959329:-2369751749841153288817",
  "ainvs": [
    "1",
    "0",
    "0",
    "-3710928957486",
    "2742767919738736516"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    3
  ],
  "naive_height": 98.4405130948983,
  "faltings_height": 6.02089211308411,
  "conductor": "49042759535775430",
  "bad_primes": [
    "2",
    "5",
    "17",
    "19",
    "29",
    "37",
    "41",
    "59",
    "811",
    "7213"
  ],
  "discriminant": "20763576372831659492584658815537049600",
  "regulator": "3105.509447844835170463160519459544114167783322988178",
  "points": [
    [
      "14931796",
      "-57248214518"
    ],
    [
      "1164244",
      "-21376862"
    ],
    [
      "1058300",
      "-28581054"
    ],
    [
      "867730",
      "-420011834"
    ],
    [
      "1607944",
      "-966783242"
    ],
    [
      "975396",
      "225636322"
    ],
    [
      "949976",
      "-273942938"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/3. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 17:35:35",
  "updated_at": "2026-09-24 17:35:35"
}