{
  "id": 157,
  "curve_key": "10910016201:-762285607502085",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-227292004",
    "882331831684"
  ],
  "rank_lower_bound": 12,
  "naive_height": 69.33884136527462,
  "faltings_height": 3.811265423121493,
  "conductor": "12212741842431104280769438",
  "bad_primes": [
    "2",
    "17",
    "8046817087",
    "44638555294561"
  ],
  "discriminant": "415233222642657545546160892",
  "regulator": "42564662.256038750630862983698271383495644865238969730938118940",
  "points": [
    [
      "117790/9",
      "-10607936/27"
    ],
    [
      "1309577033/73441",
      "31285012576920/19902511"
    ],
    [
      "1881346627/18769",
      "80581143046275/2571353"
    ],
    [
      "2591120/961",
      "15977490022/29791"
    ],
    [
      "-91616894/5625",
      "-213077007104/421875"
    ],
    [
      "37120",
      "6583838"
    ],
    [
      "15910",
      "-1145142"
    ],
    [
      "13305206/841",
      "27031784336/24389"
    ],
    [
      "-57830/49",
      "367859024/343"
    ],
    [
      "34256",
      "-5787210"
    ],
    [
      "17920627/1369",
      "19285307426/50653"
    ],
    [
      "305109061/24336",
      "192990890929/3796416"
    ]
  ],
  "submitter": "Andrew Sutherland",
  "commentary": "Found by Noam D. Elkies in June 2026, using an improved version of the methods described in his JMM 2023 talk https://abel.math.harvard.edu/~elkies/Elkies_JMM23.pdf",
  "created_at": "2026-06-24 23:38:30",
  "updated_at": "2026-07-01 22:46:37"
}