{
  "id": 1255,
  "curve_key": "392660917557616:-7780719820268300571800",
  "ainvs": [
    "0",
    "-1",
    "1",
    "-8180435782450",
    "9005465481752090182"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    5
  ],
  "naive_height": 100.81190265051079,
  "faltings_height": 6.041465931796451,
  "conductor": "9855597593317",
  "bad_primes": [
    "7",
    "17",
    "29",
    "167",
    "17101001"
  ],
  "discriminant": "1087248168054702165148130422712938357",
  "regulator": "11799.36492683898883380181970124519055258608032",
  "points": [
    [
      "637468241/361",
      "1766746769652/6859"
    ],
    [
      "239140680496/139129",
      "7829618012476473/51895117"
    ],
    [
      "-197937676/169",
      "9053122770297/2197"
    ],
    [
      "122354509556854/61230625",
      "382689241163933961317/479129640625"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Found by a Mestre-Nagao sieve over the Tate normal form family y^2+(t+1)xy+ty=x^3+tx^2 with torsion Z/5Z, at t=33901/-833.",
  "created_at": "2026-09-24 16:29:07",
  "updated_at": "2026-09-24 16:29:07"
}