{
  "id": 6262,
  "curve_key": "8513337858101828121:-23637303970609409363902819581",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-177361205377121419",
    "27357990751064154774723433"
  ],
  "rank_lower_bound": 17,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 130.76449730196288,
  "faltings_height": 8.834948318265544,
  "conductor": "60651665135316562258841403131729616719909227790",
  "bad_primes": [
    "2",
    "5",
    "89",
    "6173",
    "935531",
    "11800441654783406243093684846659597"
  ],
  "discriminant": "33737488731519837756480530492024599300449507958187500",
  "regulator": "1558751710517180.40318049631403579781891486827020275870571068260551892342",
  "points": [
    [
      "11147704872",
      "-1176181679102611"
    ],
    [
      "-483352753",
      "400703830239"
    ],
    [
      "175530932278/49",
      "-73053830198954023/343"
    ],
    [
      "11121476963/4",
      "-1160086771500463/8"
    ],
    [
      "243968369127/841",
      "-13783471550135654/24389"
    ],
    [
      "287791052",
      "-388653320411"
    ],
    [
      "14108213638/49",
      "137286878079077/343"
    ],
    [
      "1866027961777/6241",
      "506927076297187046/493039"
    ],
    [
      "1519962123292/4761",
      "594350317580544401/328509"
    ],
    [
      "14878147",
      "4972162920114"
    ],
    [
      "300621547",
      "1098738384114"
    ],
    [
      "411370022",
      "4899908700739"
    ],
    [
      "458199963",
      "6502762128371"
    ],
    [
      "2368360772",
      "113540669893989"
    ],
    [
      "-10234791722/289",
      "28476308615332267/4913"
    ],
    [
      "-7653658297/49",
      "2455544442020977/343"
    ],
    [
      "3132337917/16",
      "23852755199611/64"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "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 23:19:58",
  "updated_at": "2026-10-31 23:19:58"
}