{
  "id": 4342,
  "curve_key": "6581886742731395884561:-533980767893015242318387500722809",
  "ainvs": [
    "1",
    "0",
    "0",
    "-137122640473570747595",
    "618033296161044458569780563537"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    5
  ],
  "family": null,
  "families": [],
  "naive_height": 150.71582522590276,
  "faltings_height": 10.04029467652664,
  "conductor": "49929225145586332590",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "19",
    "31",
    "43",
    "71",
    "14951",
    "5627669"
  ],
  "discriminant": "-6191259139898331909348140654099893024449747475341900000",
  "regulator": "34724.557653622708988039162119398685534027147147528",
  "points": [
    [
      "6890476564",
      "18532999191793"
    ],
    [
      "27148189711/4",
      "29982295413329/8"
    ],
    [
      "7133115114",
      "53513811501093"
    ],
    [
      "371713248064",
      "226515910332832393"
    ],
    [
      "251782843567036/37249",
      "1500585175627702051/7189057"
    ],
    [
      "36053040308536/5329",
      "262796560402946071/389017"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z5.tsv.gz:2102 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.",
  "created_at": "2026-10-17 10:05:34",
  "updated_at": "2026-10-17 10:05:34"
}