{
  "id": 2300,
  "curve_key": "74181892713201:-614827885959500409801",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-1545456098192",
    "711606735854187059"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 95.81262360841815,
  "faltings_height": 5.910228254140997,
  "conductor": "156158910",
  "bad_primes": [
    "2",
    "3",
    "5",
    "19",
    "29",
    "47",
    "67"
  ],
  "discriminant": "17480413783492033825176764136849000000",
  "regulator": "5.129073460588351744740282637131856658759",
  "points": [
    [
      "-1308783",
      "702395641"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-57, q=10; A=(3q-p)(p+q)^3=-9032601, B=-(p+3q)(p-q)^3=-8120601. The listed points are independent modulo torsion by the exact 2-descent Kummer squareclass map. The rank is a proven lower bound; no upper bound is claimed.",
  "created_at": "2026-09-26 19:53:01",
  "updated_at": "2026-09-26 19:53:01"
}