{
  "id": 5707,
  "curve_key": "0:89086494643567964424",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "-103109368800425885"
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  "rank_lower_bound": 12,
  "torsion": [],
  "family": "mordell",
  "families": [
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  ],
  "naive_height": 91.87227884322459,
  "faltings_height": 5.713679146060345,
  "conductor": "31243715072587803983534516506247361",
  "bad_primes": [
    "3",
    "7",
    "8417091330647011"
  ],
  "discriminant": "-4592826115670407185579573926418362067",
  "regulator": "295184372145515560565.75310400626972332757104263230351092881530",
  "points": [
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      "229279798070360305/39280068864",
      "-109757971990604842513967305/7784995408293888"
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      "82058876091975922546846676944387113991753721772969428447588016527229125530195/1105373404314912416694191354192227522477764321695602341575138646888"
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      "7440993345897938449538896745925633718424105921565810684262010471/37830287514414445343812779530653972733056910981367842744"
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  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "The rationally 3-isogenous partner of the Mordell curve obtained from the Burkhardt quartic with parameters (u,v,w)=(2/3,-4/3,2/3), specialized at t=419/164. ",
  "created_at": "2026-10-24 14:08:14",
  "updated_at": "2026-10-24 14:08:14"
}