{
  "id": 4979,
  "curve_key": "-151361091398960603775:-4772997741141180952942545446625",
  "ainvs": [
    "1",
    "-1",
    "1",
    "3153356070811679245",
    "5524302940347287085239841122"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    4
  ],
  "family": null,
  "families": [],
  "naive_height": 141.28105470917473,
  "faltings_height": 9.846497657663916,
  "conductor": "572253855656441153033475",
  "bad_primes": [
    "3",
    "5",
    "7",
    "13",
    "17",
    "29",
    "149",
    "179",
    "191",
    "607",
    "823",
    "22277"
  ],
  "discriminant": "-15190519261744107850897132334205181105581096441764627109375",
  "regulator": "1769749.50273314087128581817653133937780200629465726863",
  "points": [
    [
      "-4391165829/4",
      "217565638878725/8"
    ],
    [
      "-956353170",
      "40421875568356"
    ],
    [
      "-825764751",
      "48552385554175"
    ],
    [
      "328100734",
      "81204770872020"
    ],
    [
      "439902288",
      "83645453888590"
    ],
    [
      "54877268934",
      "12862408993787245"
    ],
    [
      "84527711709/16",
      "26359046393766625/64"
    ],
    [
      "30995483641/9",
      "6459219841891925/27"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "From Michael Rubinstein's elliptic-curves-by-rank repository, families/family_Z4.part2.tsv.gz: https://github.com/mrubinst/elliptic-curves-by-rank. Eight rational points checked exactly; PARI/GP returned rank bounds [8,8]. Rational torsion C4. Source-attributed existing curve.",
  "created_at": "2026-10-21 00:58:28",
  "updated_at": "2026-10-21 00:58:28"
}