{
  "id": 4393,
  "curve_key": "49743705317241:-512080088016803352525",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-1036327194109",
    "592685546138283889"
  ],
  "rank_lower_bound": 15,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 95.37002541721503,
  "faltings_height": 5.974490197444082,
  "conductor": "40259950941709401913212369600884639134",
  "bad_primes": [
    "2",
    "366593",
    "54910965214433175092285408615119"
  ],
  "discriminant": "-80519901883418803826424739201769278268",
  "regulator": "638196958955.50393022423112920738408960251427647529608802438527028696",
  "points": [
    [
      "-306556",
      "-938765627"
    ],
    [
      "-787889",
      "-958823836"
    ],
    [
      "-667785",
      "993781957"
    ],
    [
      "435366",
      "473094685"
    ],
    [
      "737192",
      "-479264745"
    ],
    [
      "-1180731",
      "-411987772"
    ],
    [
      "691291",
      "454228785"
    ],
    [
      "781492",
      "509593653"
    ],
    [
      "832631",
      "-554535996"
    ],
    [
      "-502992",
      "-993072313"
    ],
    [
      "-1081656",
      "669957463"
    ],
    [
      "-1225557",
      "-147671263"
    ],
    [
      "-803144",
      "-951934921"
    ],
    [
      "1252991",
      "1122473949"
    ],
    [
      "1099288",
      "-884789263"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_15.md#13 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:21:33",
  "updated_at": "2026-10-17 10:21:33"
}