{
  "id": 6247,
  "curve_key": "309332210858832:-5423052076481188131264",
  "ainvs": [
    "0",
    "0",
    "0",
    "-6444421059559",
    "6276680644075449226"
  ],
  "rank_lower_bound": 15,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 100.0963107940528,
  "faltings_height": 6.1591894854952836,
  "conductor": "3425148201540012310824333672243640232",
  "bad_primes": [
    "2",
    "2118581",
    "49857403",
    "4053355119576273177203"
  ],
  "discriminant": "109604742449280393946378677511796487424",
  "regulator": "331240508506.34026460712033388843362433100582229131306753708301476660",
  "points": [
    [
      "205667647/169",
      "1068132770548/2197"
    ],
    [
      "84604237",
      "-777848164214"
    ],
    [
      "-14153239/25",
      "390184488866/125"
    ],
    [
      "963817501/625",
      "-1207268773126/15625"
    ],
    [
      "2331968545/1521",
      "794748466234/59319"
    ],
    [
      "60611982/49",
      "-152544160448/343"
    ],
    [
      "2546179477/1849",
      "9285299324558/79507"
    ],
    [
      "122634570795/1681",
      "42920007952631444/68921"
    ],
    [
      "9321347773/121",
      "899466761884954/1331"
    ],
    [
      "-2881287",
      "961767266"
    ],
    [
      "1545435",
      "91194044"
    ],
    [
      "1917925",
      "985763326"
    ],
    [
      "2015847",
      "1215478724"
    ],
    [
      "2107297",
      "1433264326"
    ],
    [
      "4071833",
      "6895386046"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Jacobian of a genus-one curve from J.-F. Mestre's ten-point construction. Rank 15 proven (independent generators plus a matching 2-descent upper bound) in M. Rubinstein's elliptic-curves-by-rank collection, file mestre/mestre_rank_15.tsv.gz:\r\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-10-31 22:39:35",
  "updated_at": "2026-10-31 22:39:35"
}