{
  "id": 740,
  "curve_key": "90072718082465805733023765856602016576:-860745177983972026654740259060278491814465272110054268800",
  "ainvs": [
    "0",
    "1",
    "0",
    "-1876514960051370952771328455345875345",
    "996232844888856511706370313154494973861484579826900659"
  ],
  "rank_lower_bound": 23,
  "torsion": [],
  "naive_height": 262.19478704354316,
  "faltings_height": 19.69842282844725,
  "conductor": "187901714216302676021769645984029439537718367054640275237726242655789730942983294186228280324216",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "23",
    "31",
    "67",
    "4339",
    "958040459612347226333",
    "512024735815866045820143363425125761451996287228966699120812621"
  ],
  "discriminant": "-5852884199041382868082780323692733700277473128245666974828927335088734735924033137454296118643965071991153408",
  "regulator": "13964752787095791868817132.8583952400954759624566580368277804610265563795522544093243",
  "points": [
    [
      "-1443418125444959805",
      "-835182951885003650781926778"
    ],
    [
      "-1282590205473960885",
      "-1137155835653624574019771578"
    ],
    [
      "422431783868370551",
      "-528124652297211250001993646"
    ],
    [
      "3528278996364503468109/5476",
      "-94728033836414594771191615957917/405224"
    ],
    [
      "696221841123768567",
      "-165039914698544974028808786"
    ],
    [
      "700495834440957051",
      "-159597384519940815923998854"
    ],
    [
      "740702683679578815",
      "-112572835384765537862003922"
    ],
    [
      "746126041858650387",
      "-107180080921369210011426246"
    ],
    [
      "812269154804842383",
      "-88980478870672709468635410"
    ],
    [
      "369613724498099016595/441",
      "-1023870904555974952476447796942/9261"
    ],
    [
      "841989032332375851",
      "-114683001256933635804934854"
    ],
    [
      "865708791999237267",
      "-143262983297106899119058886"
    ],
    [
      "1018437935840035749357/1156",
      "-6436954082628779117010523734429/39304"
    ],
    [
      "933758235501735270",
      "-241183541166694817953147347"
    ],
    [
      "2525115478998008985",
      "-3515462679515889783963296322"
    ],
    [
      "4161433846524722691",
      "-8077933050022980537730488954"
    ],
    [
      "6885213370732771239",
      "-17733515596166946494521495662"
    ],
    [
      "744578980583079291353/16",
      "-20308603745188234445393006795355/64"
    ],
    [
      "70250306512642584825",
      "-588695039136283448370743794722"
    ],
    [
      "75887590441619304942",
      "-660976277012489475741454714161"
    ],
    [
      "280092894326521463030",
      "-4687572014677199526056788162203"
    ],
    [
      "4468193218679028790966/9",
      "-298673207688459676272480894542129/27"
    ],
    [
      "2691463897701994172986597083/24649",
      "-139631318208109599061517252643595888662498/3869893"
    ]
  ],
  "submitter": "Valery Asiryan",
  "history": [
    {
      "kind": "primes_recorded",
      "user": "Daniel Błażewicz",
      "at": "2026-09-16 17:51:42"
    }
  ],
  "commentary": "Specialization T=-47/23 of the family identified by wgxli in the commentary to curve #302. The points were obtained by specializing reconstructed generic sections and running minimized quartic searches. The 23 listed points are certified independent by exact quadratic-character certificates.",
  "created_at": "2026-09-16 17:47:09",
  "updated_at": "2026-09-16 17:51:41"
}