{
  "id": 3647,
  "curve_key": "601788873691102687899321134425:-464320041741786391632709009031885940623628125",
  "ainvs": [
    "1",
    "1",
    "0",
    "-12537268201897972664569190300",
    "537407455719654951639069821483479971892500"
  ],
  "rank_lower_bound": 15,
  "torsion": [
    2
  ],
  "naive_height": 205.70911255944375,
  "faltings_height": 14.98140372964865,
  "conductor": "46743260634842018618863285423770046153816518554850",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "23",
    "29",
    "67",
    "139",
    "239",
    "313",
    "523",
    "811",
    "1193",
    "1571",
    "2953",
    "12113",
    "14281",
    "63709",
    "127691"
  ],
  "discriminant": "1356856638984335911586169363143761625585517147739564882342294941982018980165103687500",
  "regulator": "75814634895508970215.809191170947855331269101402728270937784893315083",
  "points": [
    [
      "440897999982527050",
      "292756926324632028831015050"
    ],
    [
      "-1156305732313161536518030/55649281801",
      "11660354191656270884754823054507079290/13127721226137701"
    ],
    [
      "-190697020545093296473935/5365123009",
      "380627299501487686711611384039193335/392979165040223"
    ],
    [
      "-20787558961327550/289",
      "5075048129879403743065650/4913"
    ],
    [
      "17987491699959896/25",
      "2384806260747161132239066/125"
    ],
    [
      "505879232188055960/121",
      "359679812070870427081298470/1331"
    ],
    [
      "70793355310323558425/678976",
      "337402427062849740267540526825/559476224"
    ],
    [
      "1980728604421653934719/32615521",
      "18738227195017137089402547135/186267240431"
    ],
    [
      "24718566890043784790105/421398784",
      "534911727353849571300588745926955/8650474237952"
    ],
    [
      "20183125691306015348859/11015761",
      "2862128832376019620526025058878759/36561310759"
    ],
    [
      "931206326097028480084840/9692993209",
      "447227295702151041082823516575511490/954304260405677"
    ],
    [
      "4459398429426190656287870/62145005521",
      "1319563507756819821037782482840520260/15492066281324569"
    ],
    [
      "6981827892134623952260028945/29027192760721",
      "528891226933414061103493419472493896097510/156389487137816163769"
    ],
    [
      "10422144319273227829929328990/108975915357409",
      "525180122351283237983989168141151712477790/1137616253731042234577"
    ],
    [
      "915890509382186397291307323705/5589073598651449",
      "709528011558488185711408398294880123702139595/417839740266057382945043"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Specialization at t = 365/111, 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": "2026-09-29 19:26:26",
  "updated_at": "2026-09-29 19:26:26"
}