{
  "id": 4154,
  "curve_key": "6558951127966074111936:-540754135223118204312331733154816",
  "ainvs": [
    "0",
    "0",
    "0",
    "-136644815165959877332",
    "625872841693423847583717283744"
  ],
  "rank_lower_bound": 17,
  "torsion": [],
  "naive_height": 150.74103500364956,
  "faltings_height": 10.451990511281387,
  "conductor": "19525073090630769225295212860418607803111169210442560",
  "bad_primes": [
    "2",
    "5",
    "7",
    "31",
    "223",
    "499",
    "2526838861257517569869235285632253094344437"
  ],
  "discriminant": "-5931717204933627690644685666995173050585173206132449728000000",
  "regulator": "5507460687002603.88445189250858409225101767591911419036303850042984023995",
  "points": [
    [
      "5812034038",
      "167384352688000"
    ],
    [
      "5905300638",
      "157724984078200"
    ],
    [
      "2009499638",
      "599499518811200"
    ],
    [
      "2591678088",
      "537718550563600"
    ],
    [
      "22914238038",
      "-3086448389122000"
    ],
    [
      "10675780898",
      "619536934893520"
    ],
    [
      "6075882788",
      "141189187845500"
    ],
    [
      "-983355682",
      "871373859814360"
    ],
    [
      "-2728317782",
      "-989128147797160"
    ],
    [
      "7093963638",
      "-116268604799200"
    ],
    [
      "18685857413",
      "-2144044067508875"
    ],
    [
      "-11630812222",
      "-801121515184480"
    ],
    [
      "-6920781962",
      "1113586807108000"
    ],
    [
      "6110317688",
      "138073615661800"
    ],
    [
      "-2073397212",
      "948829982474500"
    ],
    [
      "-12707688362",
      "-556962430334800"
    ],
    [
      "5434520130",
      "209229562155328"
    ]
  ],
  "submitter": "Andrii Prokhorenkov",
  "history": [],
  "commentary": "Mestre construction: sextuple [-1024, -624, -616, -341, 1240, 1365], T = 368; y^2 = r(x) with p(x-T)p(x+T) = g(x)^2 - r(x).",
  "created_at": "2026-10-11 17:18:08",
  "updated_at": "2026-10-11 17:18:08"
}