{
  "id": 3663,
  "curve_key": "5237188337365893873:-14351084083414476437396594121",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-109108090361789456",
    "16610051049747481430026755"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    4
  ],
  "naive_height": 129.6672459921479,
  "faltings_height": 8.802524872071332,
  "conductor": "1354000263461127126",
  "bad_primes": [
    "2",
    "3",
    "13",
    "19",
    "31",
    "37",
    "59",
    "109",
    "163",
    "241",
    "1051"
  ],
  "discriminant": "-36057448287999581220043877651515482965319003051051408",
  "regulator": "1000374.746634022565590571211471137541278824349154099",
  "points": [
    [
      "-379900897",
      "1797752901801"
    ],
    [
      "-359499837",
      "3061647531345"
    ],
    [
      "-298303117",
      "4755452112795"
    ],
    [
      "70799951",
      "3039717512649"
    ],
    [
      "-651036216541/1681",
      "60694106738450307/68921"
    ],
    [
      "-99115571749/625",
      "85475371027991049/15625"
    ],
    [
      "441484866923/1681",
      "169794081523977945/68921"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Specialization at t = 11/152 of the Elkies-Klagsbrun Z/4 fibration E1: y^2 + a*xy + a*c*y = x^3 + c*x^2, a = (8t-1)(32t+7), c = 8(t+1)(15t-8)(31t-7) (arXiv:2003.00077, eq. (5)), found by searching small-height t = a/b for small conductor, with points from a 2-descent (PARI ellrank).",
  "created_at": "2026-09-29 19:29:08",
  "updated_at": "2026-09-29 19:29:08"
}