{
  "id": 6198,
  "curve_key": "1024705:-1037355553",
  "ainvs": [
    "1",
    "0",
    "0",
    "-21348",
    "1198864"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    3
  ],
  "family": null,
  "families": [],
  "naive_height": 41.51988114870438,
  "faltings_height": 1.1435139726101586,
  "conductor": "1137742",
  "bad_primes": [
    "2",
    "17",
    "109",
    "307"
  ],
  "discriminant": "-84174704128",
  "regulator": "9.3245047429259129515052711629263544347115050",
  "points": [
    [
      "-124",
      "1456"
    ],
    [
      "46",
      "538"
    ],
    [
      "284",
      "4108"
    ]
  ],
  "submitter": "Andrii Prokhorenkov",
  "history": [],
  "commentary": "Specialization at T = -3/17 of the elliptic fibration of X648 given by:\ny^2 + (Lx+B)y = x^3,\nwhere\nL = -91T^2 + 72T - 81,\nB = -81000T^5 + 243000T^4 - 243000T^3 + 81000T^2.",
  "created_at": "2026-10-30 15:41:29",
  "updated_at": "2026-10-30 15:41:29"
}