{
  "id": 2733,
  "curve_key": "3115917275457675268044435295474511381435742481:-173931711364592420998616911068171797965040604173131055172715464763129",
  "ainvs": [
    "1",
    "0",
    "0",
    "-64914943238701568084259068655718987113244635",
    "201309851116426413192838237491040059551086270277995189126901980497"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    10
  ],
  "naive_height": 314.2585582922264,
  "faltings_height": 23.724563423702286,
  "conductor": "499856691314132909535833670",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "17",
    "19",
    "37",
    "43",
    "59",
    "61",
    "7589",
    "44351",
    "347609"
  ],
  "discriminant": "8744701223422483493460730533795002513402641431660464141383383853214823438704897030863551986553181615549286556738281250000000000",
  "regulator": "10099352.06625868481970059514491910909255060679",
  "points": [
    [
      "4648622968788630263334",
      "286071443448070484600366165433"
    ],
    [
      "30853075354468353282483305777490600923154/5593021890913929481",
      "1392292028331306050080987557715740314945978707215580475861607/13227256602058425487519156379"
    ],
    [
      "532633553247532550198370542118960808806/7518415477187209",
      "12216318600514937453986285746226163634686542419749575465509/651912761373083836177573"
    ],
    [
      "46307090881491983622039471116441582820390282366590063364108321210644313089999312790773286/7175486031580206460405079239751942164909411909778681391199923561529",
      "4347323589777295927861186486861450646613038830590930371936623757908181387604901438197687845711624313827516136725262606458200403374539/19221044536872879435037625932731924630264359662112071756033859576897923856065573773332973490079352083"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "2-isogenous image of D-z10-014, rational kernel x=-2324900972751723202914. Source: https://dujella.github.io/tors/z10.html. Independent witness points transported by the degree-2 isogeny. Witnesses saturated by exact rational halves of published and transported relations; quadratic-character independence is certified.",
  "created_at": "2026-09-26 20:19:51",
  "updated_at": "2026-09-26 20:19:51"
}