{
  "id": 49,
  "curve_key": "782994576:-22438220526360",
  "ainvs": [
    "0",
    "0",
    "1",
    "-16312387",
    "25970162646"
  ],
  "rank_lower_bound": 10,
  "naive_height": 61.48357378851376,
  "faltings_height": 3.0269363701664456,
  "conductor": "10189285026863130793",
  "bad_primes": [
    "11",
    "1297",
    "4423",
    "75707",
    "2132839"
  ],
  "discriminant": "-13561938370754827085483",
  "regulator": "990834.3392128087320646545893821685852413506370864254350345",
  "points": [
    [
      "-4674",
      "10235"
    ],
    [
      "-4036",
      "161441"
    ],
    [
      "-2413",
      "226455"
    ],
    [
      "-305",
      "175832"
    ],
    [
      "1277",
      "84980"
    ],
    [
      "-4509",
      "88599"
    ],
    [
      "2463",
      "27096"
    ],
    [
      "3246",
      "84980"
    ],
    [
      "4687",
      "229080"
    ],
    [
      "7993",
      "637371"
    ]
  ],
  "submitter": "David Renshaw",
  "commentary": "Smallest known conductor of an elliptic curve with rank ≥ 10 (Elkies–Watkins, 2004). From their paper \"Elliptic Curves of Large Rank and Small Conductor\" (arXiv:math/0403374).",
  "created_at": "2026-05-28 18:40:50",
  "updated_at": "2026-07-01 22:50:32"
}