{
  "id": 3692,
  "curve_key": "1605640809588886326109370957305824474714865:-2007159771295649037102039406521547215464844961832581317966356425",
  "ainvs": [
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  ],
  "rank_lower_bound": 17,
  "torsion": [
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  "naive_height": 291.546290522881,
  "faltings_height": 22.173806837821438,
  "conductor": "608480130869274673011093246882337748935299188663528462593209259950",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "17",
    "19",
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    "43",
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    "1123",
    "2473",
    "9161",
    "67271",
    "97987",
    "3788861",
    "25217561"
  ],
  "discriminant": "64111099268509703613834758035457656267019943049972595444243190601816735444520891882320080122723974075322789048412438528000",
  "regulator": "46986716652564089289785.9607674468555366612846432200826597478528798057339",
  "points": [
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      "38107587432616350211145093631763147/125"
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      "5836752898849931791089107848762717096510721333/4472144322668875"
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      "205002713491443787711409319628322/364754394601",
      "2795682673504162487854843725810944393403922094771/220293051864879349"
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      "233814792062015796011478603499682/2662311092281",
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      "256901129273065608088952734697384/2698716271729",
      "167105371734145469711842505574941304132678686855/4433389020722151433"
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      "5991955985619761724482823448392050244042835277327/182994742443988418293"
    ],
    [
      "27734249652086970787051296744446702018/17506931879220169",
      "145124051086161465048465200447318453118621702508652463613/2316408035524282065885947"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Specialization at t = 2865/12073, u = 11/5 of the Elkies-Klagsbrun family y^2 = x^3 + 2A(t,u)x^2 + B(t,u)x (arXiv:2003.00077, Sec. 9, eqs. (3)-(4)), found by searching small-height t = a/b for small conductor, with points from a 2-descent (PARI ellrank).",
  "created_at": "2026-09-30 01:44:19",
  "updated_at": "2026-09-30 01:44:19"
}