{
  "id": 6199,
  "curve_key": "308464:-170559712",
  "ainvs": [
    "0",
    "1",
    "0",
    "-6426",
    "195265"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    3
  ],
  "family": null,
  "families": [],
  "naive_height": 37.91808126551775,
  "faltings_height": 0.9907674308295839,
  "conductor": "530740",
  "bad_primes": [
    "2",
    "5",
    "7",
    "17",
    "223"
  ],
  "discriminant": "150316182800",
  "regulator": "2.7020230477757624872127092105500567023386103",
  "points": [
    [
      "-63",
      "595"
    ],
    [
      "112",
      "945"
    ],
    [
      "28/9",
      "11305/27"
    ]
  ],
  "submitter": "Andrii Prokhorenkov",
  "history": [],
  "commentary": "Specialization at T = -5/7 of the elliptic fibration of X648 given by:\ny^2 + (Lx+B)y = x^3,\nwhere\nL = -152T^2 + 280T - 200,\nB = 432000T^5 - 1539000T^4 + 1782000T^3 - 675000T^2.",
  "created_at": "2026-10-30 15:41:35",
  "updated_at": "2026-10-30 15:41:35"
}