{
  "id": 3594,
  "curve_key": "294701904976917077055344656:-5066879815029695429955290850496894075840",
  "ainvs": [
    "0",
    "1",
    "0",
    "-6139623020352439105319680",
    "5864444230356397243663691375040002324"
  ],
  "rank_lower_bound": 19,
  "torsion": [],
  "naive_height": 182.8470876676458,
  "faltings_height": 13.026500614181604,
  "conductor": "359456687152396021072061767266447875854031596978527195696",
  "bad_primes": [
    "2",
    "3",
    "7",
    "13",
    "19",
    "29",
    "37",
    "47",
    "1583",
    "9391",
    "63486094194947957461168473624954813101"
  ],
  "discriminant": "-45510765582629467215726988506361762522441934245073838290713850678375344128",
  "regulator": "17475870025931274.45920567436668484932618501389639558499731773082965116827119",
  "points": [
    [
      "1430273129030",
      "94811848873283268"
    ],
    [
      "1445730045686",
      "99891227742074964"
    ],
    [
      "957449726774",
      "929390965222343148"
    ],
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      "980981206102",
      "886347176526496524"
    ],
    [
      "1091811180932",
      "680169460500328266"
    ],
    [
      "1185275345102",
      "502461212516830476"
    ],
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      "1198872153236",
      "476396305373384214"
    ],
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      "1217407238987",
      "440815279730791056"
    ],
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      "1260311571332",
      "358422394824438966"
    ],
    [
      "1321732545254",
      "241952312044507428"
    ],
    [
      "1496908710404",
      "167826757710805578"
    ],
    [
      "1509312031894",
      "189959390227993932"
    ],
    [
      "1596628329326",
      "363191798860054164"
    ],
    [
      "1699370975150",
      "581803612432683732"
    ],
    [
      "1854983584484",
      "926539923901149558"
    ],
    [
      "2210758918580",
      "1759602967473778518"
    ],
    [
      "2606653284524",
      "2751699456627725898"
    ],
    [
      "2614951928411",
      "2773192635515915964"
    ],
    [
      "-2264251387186",
      "2856160428770169612"
    ]
  ],
  "submitter": "wgxli",
  "history": [],
  "commentary": "Specialization at T = 8 of the rank-17 fibration of X1008 given by:\r\ny^2 + (Lx+B)y = x(x+D)(x+E),\r\nwhere\r\nB = pE + qD + pq(L-p-q),\r\nL = 46550T^2 + 1624T + 75424,\r\np = -73708T^2 - 57738T + 135450,\r\nq = 71955T^2 + 77817T + 8760,\r\nD = 12(282127352T^4 + 191775362T^3 - 452929497T^2 + 78326358T + 840465),\r\nE = 153064275T^4 - 228008950T^3 + 1053019999T^2 + 5982765320T + 798799200.",
  "created_at": "2026-09-29 06:48:58",
  "updated_at": "2026-09-29 06:48:58"
}