{
  "id": 1498,
  "curve_key": "47980398052254801721:-301797794527920256256519743981",
  "ainvs": [
    "1",
    "0",
    "1",
    "-999591626088641703",
    "349303002842534327752474006"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    6,
    2
  ],
  "naive_height": 135.95197268244607,
  "faltings_height": 9.29893799672956,
  "conductor": "105997974362670",
  "bad_primes": [
    "2",
    "3",
    "5",
    "13",
    "17",
    "19",
    "29",
    "31",
    "37",
    "41",
    "617"
  ],
  "discriminant": "11212186271858688167710953282838806581275268748075562500",
  "regulator": "639.6659812921650218676012966503389010484293344",
  "points": [
    [
      "726325865",
      "2538617869512"
    ],
    [
      "733295555",
      "3257904552822"
    ],
    [
      "827190785",
      "9404417325222"
    ],
    [
      "1320730130",
      "36508227209997"
    ]
  ],
  "submitter": "hdeping",
  "history": [
    {
      "kind": "rank_improved",
      "user": "Steps Unbounded",
      "old_rank": 3,
      "new_rank": 4,
      "at": "2026-09-26 04:28:26"
    }
  ],
  "commentary": "Specialization v=371/617 of the Dujella-Peral torsion Z/2xZ/6 family y^2=x^3+A26(v)x^2+B26(v)x (Contemp. Math. 649, sec 2.2).",
  "created_at": "2026-09-25 00:42:01",
  "updated_at": "2026-09-26 04:28:26"
}