{
  "id": 6264,
  "curve_key": "12187672552557931977:-42460090811365418094161428101",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-253909844844956916",
    "49143623687742991412814956"
  ],
  "rank_lower_bound": 17,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 131.8408700048255,
  "faltings_height": 8.787469257761767,
  "conductor": "8951284333576991526866634801648665835908400258",
  "bad_primes": [
    "2",
    "3",
    "7",
    "61",
    "4649",
    "12487",
    "33507307",
    "598725547402888103823693983"
  ],
  "discriminant": "4334372997435983683156308170384713673731893756128244",
  "regulator": "912503980769535.189338263746608114390890391175051741052418712943473762842",
  "points": [
    [
      "344112232261/400",
      "-172956830424615769/8000"
    ],
    [
      "33128482051/4",
      "-6018915588082075/8"
    ],
    [
      "976655771/100",
      "6831153885503101/1000"
    ],
    [
      "11767188986/121",
      "6704100885937140/1331"
    ],
    [
      "217699153903/1369",
      "181132513781265823/50653"
    ],
    [
      "229227648391/1156",
      "-100915503042104765/39304"
    ],
    [
      "36584230717/121",
      "154132876637981/1331"
    ],
    [
      "7043118086431/10201",
      "14677908579289946879/1030301"
    ],
    [
      "18361366604/25",
      "2011019469881982/125"
    ],
    [
      "105590380",
      "4848704622286"
    ],
    [
      "145438846",
      "3910382231140"
    ],
    [
      "1217389831/4",
      "1920680891003/8"
    ],
    [
      "309170926",
      "441091841134"
    ],
    [
      "312858742",
      "572999739172"
    ],
    [
      "3469078774",
      "202277688597796"
    ],
    [
      "5827077439",
      "443197970635195"
    ],
    [
      "62427462031/25",
      "15301889020861814/125"
    ]
  ],
  "submitter": "The Wren",
  "history": [
    {
      "kind": "primes_recorded",
      "user": "Maksym Voznyy",
      "at": "2026-10-31 23:27:14"
    }
  ],
  "commentary": "Jacobian of a genus-one curve from J.-F. Mestre's ten-point construction. Rank 17 proven (independent generators plus a matching 2-descent upper bound) in M. Rubinstein's elliptic-curves-by-rank collection, file mestre/mestre_rank_17.tsv.gz:\r\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-10-31 23:23:59",
  "updated_at": "2026-10-31 23:27:13"
}