{
  "id": 96,
  "curve_key": "180705151207223080553017:-76912722014838801657839206874307181",
  "ainvs": [
    "1",
    "0",
    "1",
    "-3764690650150480844855",
    "89019354183527481401653208626710"
  ],
  "rank_lower_bound": 17,
  "naive_height": 160.6559587349115,
  "faltings_height": 11.169562116753058,
  "conductor": "25777625822377588725485551545783271350685691069629753526342",
  "bad_primes": [
    "2",
    "11",
    "37",
    "107",
    "12412556554267617257",
    "23843691413839155824600324843196647"
  ],
  "discriminant": "-8540075879702050389575912256014906231939468079986198083770051916",
  "regulator": "19359556026346100.6303303098718257240779383918436146546525416442360173901",
  "points": [
    [
      "90465122187",
      "-22109028378030402"
    ],
    [
      "29636398430",
      "1864819852756660"
    ],
    [
      "26054573840",
      "2935775090470274"
    ],
    [
      "225363887573",
      "103375773706825504"
    ],
    [
      "238623691977",
      "-113040864973820416"
    ],
    [
      "17360593283",
      "-5375360169896206"
    ],
    [
      "14618830545",
      "-6091655100390690"
    ],
    [
      "-70533645811",
      "-1911027879550192"
    ],
    [
      "126855903943/4",
      "9873344264724949/8"
    ],
    [
      "164303427527/4",
      "-15358735695850363/8"
    ],
    [
      "33812349577",
      "618959095388288"
    ],
    [
      "37672630837",
      "812121700571498"
    ],
    [
      "624752627246/25",
      "-405930157653036359/125"
    ],
    [
      "33831546370",
      "-613808681238931"
    ],
    [
      "103707900164",
      "-28530802496948098"
    ],
    [
      "27298730108",
      "-2567436092943578"
    ],
    [
      "11197315494189/625",
      "81673509203033696688/15625"
    ]
  ],
  "submitter": "David Renshaw",
  "commentary": "Generated by local generalized Mestre/Fermigier quartic-family search: Mestre parameters u=-2, v=-4, specialization T=1142. Found in uv-smoke-5 by Nagao stage-1 sieve (M=200, m<=5000, n<=12), rescored at M=1000, selected by exact minimal-height triage, and certified with famcert from quartic-side rational points.",
  "created_at": "2026-06-23 13:32:21",
  "updated_at": "2026-07-01 22:34:42"
}