{
  "id": 3630,
  "curve_key": "5130774540838539487881:-365349461632229635815976867789605",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-106891136267469572664",
    "422858173212173751446470249404"
  ],
  "rank_lower_bound": 12,
  "torsion": [
    2
  ],
  "naive_height": 149.9686307498415,
  "faltings_height": 10.340029116788644,
  "conductor": "2521187658201578085610417610020422",
  "bad_primes": [
    "2",
    "3",
    "17",
    "31",
    "61",
    "73",
    "109",
    "139",
    "151",
    "307",
    "349",
    "499",
    "1237",
    "1637",
    "3301"
  ],
  "discriminant": "918187302983119163652784630732987876485707216186970671940372",
  "regulator": "297746089515754.14561735953734286871690376088536775604632545241",
  "points": [
    [
      "-547226705029308/49729",
      "5725869786720358335030/11089567"
    ],
    [
      "8681998641555/1369",
      "294914630133175899/50653"
    ],
    [
      "61034424381507/6241",
      "275760471270464934762/493039"
    ],
    [
      "442964639418780/57121",
      "3352100279963233675722/13651919"
    ],
    [
      "4085055012798975/139129",
      "246690479062815476918466/51895117"
    ],
    [
      "5274024958408350/822649",
      "24490487888777065759014/746142643"
    ],
    [
      "31421875589512131/8994001",
      "8183945225246681004875025/26973008999"
    ],
    [
      "513064421771629197/125193721",
      "324392402642237420477201592/1400792544269"
    ],
    [
      "863782513743488985/8404201",
      "798882495966038615435506188/24363778699"
    ],
    [
      "1286312806628622219/293471161",
      "987086543871613227459052098/5027454459091"
    ],
    [
      "9981033972422058990/1514999929",
      "3996344551337697480805294326/58968342236467"
    ],
    [
      "150154328453348563542/9781803409",
      "1498480740977184729440699777424/967449702560327"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Specialization at t = -13, 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 19:22:59",
  "updated_at": "2026-09-29 19:22:59"
}