{
  "id": 1630,
  "curve_key": "163910369372832774878945889:-1262121235104207749578753815279692003601",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-3414799361934016143311373",
    "1460788466556649706297374493942878773"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    7
  ],
  "naive_height": 181.08408594619763,
  "faltings_height": 13.13177874329091,
  "conductor": "83364565255820002",
  "bad_primes": [
    "2",
    "7",
    "11",
    "17",
    "127",
    "151",
    "269",
    "6172753"
  ],
  "discriminant": "1626600592412944238195522507419355981387875168824572187361383920705109753856",
  "regulator": "9030.979142900343017484835171686631653529237793",
  "points": [
    [
      "-925424560044129/625",
      "28258174375567918476344/15625"
    ],
    [
      "-3245283864837521/2209",
      "188795855392017245981960/103823"
    ],
    [
      "5828808120094171/2809",
      "270845613634990013870424/148877"
    ],
    [
      "501165219772139623/1100401",
      "5856130716355734262709136/1154320649"
    ]
  ],
  "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 01:53:28",
  "updated_at": "2026-09-25 01:53:28"
}