{
  "id": 1995,
  "curve_key": "2564094388801675046163823369:127948882065686841322299538341853551149147",
  "ainvs": [
    "1",
    "0",
    "1",
    "-53418633100034896795079654",
    "-148088983872327184564679098211137496394"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    6
  ],
  "naive_height": 189.33420858697573,
  "faltings_height": 13.659560044136294,
  "conductor": "4688824384798005181241330",
  "bad_primes": [
    "2",
    "5",
    "7",
    "13",
    "19",
    "29",
    "47",
    "67",
    "73",
    "139",
    "379",
    "421",
    "719",
    "2551"
  ],
  "discriminant": "281786663080052415882993009512474133787635435016782306148013704662610780627850",
  "regulator": "9074742.91844786475147596172385118190296768466372118493",
  "points": [
    [
      "-331404997446950/81",
      "-1025757108288030841622/729"
    ],
    [
      "-7864827491888248/1849",
      "117166765155085942186166/79507"
    ],
    [
      "1410363253578314",
      "-52965202713299962012358"
    ],
    [
      "-493206794094406/121",
      "-1848090999290303363698/1331"
    ],
    [
      "-14973862795291225/3844",
      "-224647848758063964574169/238328"
    ],
    [
      "-9704458577314301325/2540836",
      "1905695333313256854277478763/4050092584"
    ],
    [
      "-1663675728130899/400",
      "-11702996628316382891309/8000"
    ],
    [
      "-341987189115685351507108/89572708369",
      "12218865948456085241518501707997879/26807947169632903"
    ]
  ],
  "submitter": "Steps Unbounded",
  "history": [],
  "commentary": "New curve, 2-isogenous partner of curve#1913; the 8 witness points are transported through the rational isogeny and certified independent by the exact 2-descent character test.",
  "created_at": "2026-09-26 04:31:19",
  "updated_at": "2026-09-26 04:31:19"
}