{
  "id": 3940,
  "curve_key": "18226195210626882716355721:-79006948229208689333790543135683471269",
  "ainvs": [
    "1",
    "0",
    "1",
    "-379712400221393389924078",
    "91443227117108044028905790291214048"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    6
  ],
  "naive_height": 174.5251982973071,
  "faltings_height": 12.427004348909051,
  "conductor": "447060738391164495290",
  "bad_primes": [
    "2",
    "5",
    "7",
    "11",
    "31",
    "41",
    "43",
    "59",
    "61",
    "73",
    "109",
    "409",
    "907"
  ],
  "discriminant": "-108484768455546788682304270418676352300282576326608329258354984375000000",
  "regulator": "2444359232.244308850416737389742798360575782223885271",
  "points": [
    [
      "404857085354125509/547600",
      "187822256723574443761561047/405224000"
    ],
    [
      "1422679046575652302726/4445555625",
      "15406319856118804868223647876324/296407421296875"
    ],
    [
      "1356159919758462525274/3616218225",
      "9191044613295122746597964073212/217461282960375"
    ],
    [
      "-17694554972215031261316/167836883041",
      "24820414787675096442211425872497800/68759246407353839"
    ],
    [
      "6307093439868065165014779/15174811176196",
      "4352994419065308196026368563066436825/59113264489515051256"
    ],
    [
      "513331483338893023619346/118111130929",
      "364278769631746303107167868806410900/40591606699762217"
    ],
    [
      "481662185874737084108766/2778899002009",
      "813457153903470263485705369365502900/4632432973046009027"
    ]
  ],
  "submitter": "Odbayar Shinebayar",
  "history": [],
  "commentary": "Unlisted rational-isogeny neighbor of curve#3717 (source contributor: Michael Rubinstein). Source equation and witness provenance are credited to that entry. Exact rank 7: 7 independent points certified by the unchanged ICARM verifier, with a matching unconditional upper bound computed using PARI/GP 2.17.2 ellrank. This is an additional representative of a known isogeny class, not a claim of a new world rank record.",
  "created_at": "2026-10-05 04:30:34",
  "updated_at": "2026-10-05 04:30:34"
}