{
  "id": 5613,
  "curve_key": "0:5331975808159855575911140938558277660800",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-6171268296481314323971227938146154700"
  ],
  "rank_lower_bound": 8,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell",
    "cubesum"
  ],
  "naive_height": 182.9490809839393,
  "faltings_height": 13.30341265778657,
  "conductor": "6171268296481314323971227938146154700",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "19",
    "23",
    "37",
    "41",
    "53",
    "79",
    "173",
    "431"
  ],
  "discriminant": "-16452526631251125573547324010007051107739342566938968187131475467215462880000",
  "regulator": "96792578083.6284178727008651426538148384755615983776710",
  "points": [
    [
      "226918179083725006861/107350321",
      "2012429145727538210339544508541/1112256675881"
    ],
    [
      "23894914759654676809/688900",
      "-116795500755948741813443768123/571787000"
    ],
    [
      "29876683470901",
      "-163285764397381937249"
    ],
    [
      "27299596879782781/6241",
      "4341124022805618496382971/493039"
    ],
    [
      "5154366001444994041/264196",
      "11697211571982314398090354061/135796744"
    ],
    [
      "26189392222579441/484",
      "4238182669171076138572361/10648"
    ],
    [
      "136273762547072714281/8940100",
      "1589423641037336514048184971179/26730899000"
    ],
    [
      "62907017067879718950001/23481884644",
      "-13001408004794272959638043724417399/3598317039077272"
    ]
  ],
  "submitter": "Maksym Voznyy",
  "history": [],
  "commentary": "Voznyy (2023), A = -956170471123786380, [r, s, t] = [345, 407, 431] for S2 in https://arxiv.org/pdf/math/0403116",
  "created_at": "2026-10-23 23:02:53",
  "updated_at": "2026-10-23 23:02:53"
}