{
  "id": 2039,
  "curve_key": "1613576262025:-2048782466779065125",
  "ainvs": [
    "1",
    "1",
    "0",
    "-33616172125",
    "2371261996478125"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2,
    2
  ],
  "naive_height": 84.32842233686681,
  "faltings_height": 4.771168052425341,
  "conductor": "9680213412150",
  "bad_primes": [
    "2",
    "3",
    "5",
    "41",
    "61",
    "101",
    "449",
    "569"
  ],
  "discriminant": "2108396963357296779771506250000",
  "regulator": "645505.41160931925591604919252018105719070464624838",
  "points": [
    [
      "363131",
      "194878178"
    ],
    [
      "13062019/121",
      "-886646119/1331"
    ],
    [
      "8220739/49",
      "13048956094/343"
    ],
    [
      "42111350/289",
      "-117327048725/4913"
    ],
    [
      "155171350/1089",
      "780127380475/35937"
    ],
    [
      "3623298850/33489",
      "-5534260728775/6128487"
    ]
  ],
  "submitter": "Steps Unbounded",
  "history": [],
  "commentary": "2-isogenous partner of curve#1687 (Michael Rubinstein).",
  "created_at": "2026-09-26 05:06:07",
  "updated_at": "2026-09-26 05:06:07"
}