{
  "id": 4330,
  "curve_key": "678182940544:-1913191939614411352",
  "ainvs": [
    "0",
    "1",
    "1",
    "-14128811261",
    "2214337813098111"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    3
  ],
  "family": null,
  "families": [],
  "naive_height": 84.19060938733855,
  "faltings_height": 5.070845981333942,
  "conductor": "230025338628348235",
  "bad_primes": [
    "5",
    "7",
    "19",
    "31",
    "107",
    "113",
    "197",
    "373",
    "661"
  ],
  "discriminant": "-1937722970604152246410595469045115",
  "regulator": "60143.57421876942075028559159121255608673516106980418",
  "points": [
    [
      "939499",
      "904542908"
    ],
    [
      "131391",
      "51246828"
    ],
    [
      "13881829/100",
      "54112105083/1000"
    ],
    [
      "1884361/25",
      "4964904159/125"
    ],
    [
      "3083929/16",
      "5219736987/64"
    ],
    [
      "-119561",
      "46845516"
    ],
    [
      "586541/4",
      "459252503/8"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z3.tsv.gz:4839 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.",
  "created_at": "2026-10-17 10:05:08",
  "updated_at": "2026-10-17 10:05:08"
}