{
  "id": 4627,
  "curve_key": "3522416078252260220965006666192420560336:-272988942353317396739079244543241239130054342693243294320320",
  "ainvs": [
    "0",
    "0",
    "0",
    "-73383668296922087936770972212342095007",
    "315959424020043283262823199702825508252377711450513072130"
  ],
  "rank_lower_bound": 17,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 273.7135631816499,
  "faltings_height": 20.82307619794476,
  "conductor": "98117440630487479334471813728300734607596692047552312523454585839592",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "19",
    "59",
    "79",
    "89",
    "109",
    "127",
    "331",
    "503",
    "877",
    "883",
    "2207",
    "4651",
    "4831",
    "5641",
    "8761",
    "60373",
    "110051",
    "161059",
    "6072527"
  ],
  "discriminant": "-17835002582085889924364627186041943755473998566441992219680676665879667061341925431982970675076235518317607712558848",
  "regulator": "52358272771235627846.3765762729653116709298607604409448374880084972427413",
  "points": [
    [
      "-9676025225793647947",
      "10958982458918741732934951194"
    ],
    [
      "-9427002956908254713",
      "13037827895557153622409046032"
    ],
    [
      "-9215124540669684731",
      "14479790269648307439074613066"
    ],
    [
      "-6690025634053701683",
      "22527234521648352105607241118"
    ],
    [
      "-5533557110521812731",
      "23507301368687938708132303434"
    ],
    [
      "-203312762424384223",
      "18189855859402564346835143318"
    ],
    [
      "7688967279628234759",
      "14362737206525192623768627536"
    ],
    [
      "8200620912844775623",
      "16299111606048756863824957056"
    ],
    [
      "9335867444812888369",
      "21084560437612855911553191366"
    ],
    [
      "12764347888100361943",
      "38196096533837092987602121656"
    ],
    [
      "36235519050369309907",
      "212684192928033428638529938368"
    ],
    [
      "6566233515368022932329/2304",
      "1260790689785905805672334769680331/110592"
    ],
    [
      "71698208767978325708761/15625",
      "17009506655818338842994942963354366/1953125"
    ],
    [
      "174969117606347591246233/1369",
      "73029342403829776468471407000859554/50653"
    ],
    [
      "705446934179068756603597/53361",
      "501668702539272749645812064647821662/12326391"
    ],
    [
      "804360978793349297143761073/8826841",
      "22716450532857031400788829306465471250534/26224544611"
    ],
    [
      "1384326916224470350885898281/61418569",
      "48403128250807829545064139781328856744018/481337325253"
    ]
  ],
  "submitter": "Andrii Prokhorenkov",
  "history": [],
  "commentary": "X660, T=-1545/118",
  "created_at": "2026-10-19 03:31:22",
  "updated_at": "2026-10-19 03:31:22"
}