{
  "id": 158,
  "curve_key": "90075516496:-28257386435060120",
  "ainvs": [
    "0",
    "-1",
    "1",
    "-1876573260",
    "32705933898332"
  ],
  "rank_lower_bound": 13,
  "naive_height": 75.76026257010892,
  "faltings_height": 4.245237096221498,
  "conductor": "13048475524065056885495472921",
  "bad_primes": [
    "3",
    "4349491841355018961831824307"
  ],
  "discriminant": "-39145426572195170656486418763",
  "regulator": "740620279.4326354740651118477378116431858161004526275963581006162",
  "points": [
    [
      "7741928124496/345030625",
      "8823560993548208669/6408943859375"
    ],
    [
      "132552615/3481",
      "-833270007898/205379"
    ],
    [
      "1625667815/63001",
      "19131107316838/15813251"
    ],
    [
      "15572079543/398161",
      "1098982569620230/251239591"
    ],
    [
      "419003945245/34082244",
      "-674555808769168789/198972140472"
    ],
    [
      "181207744936/4566769",
      "44420007350544652/9759185353"
    ],
    [
      "43390",
      "5741911"
    ],
    [
      "937218533/21316",
      "-18462206221191/3112136"
    ],
    [
      "426410835/19321",
      "-3835378260566/2685619"
    ],
    [
      "97096629/6889",
      "1720725812756/571787"
    ],
    [
      "559519/25",
      "-173060047/125"
    ],
    [
      "784478154/14641",
      "-16426944244376/1771561"
    ],
    [
      "-965919/25",
      "861795179/125"
    ]
  ],
  "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 23:45:36",
  "updated_at": "2026-07-01 22:44:39"
}