{
  "id": 6249,
  "curve_key": "104456688196067536:-33380523492057251999623360",
  "ainvs": [
    "0",
    "1",
    "0",
    "-2176181004084740",
    "38634864427450373637984"
  ],
  "rank_lower_bound": 15,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 117.56264674013123,
  "faltings_height": 7.667188470550488,
  "conductor": "2900836471454746643444186032359612504",
  "bad_primes": [
    "2",
    "3",
    "13",
    "23",
    "1979",
    "23761",
    "8382529",
    "1025546233472101729"
  ],
  "discriminant": "14750253028246023080660732131127815161367709952",
  "regulator": "82535756126.714375892067858043137061702070834893621350226593435461099",
  "points": [
    [
      "95389144",
      "-836065261512"
    ],
    [
      "-11292200279/256",
      "904846690877931/4096"
    ],
    [
      "6006181438/121",
      "-306180601257330/1331"
    ],
    [
      "29707596241/784",
      "-2258093405000511/21952"
    ],
    [
      "896169346/25",
      "-10222972115694/125"
    ],
    [
      "3575322136/121",
      "-15234908231016/1331"
    ],
    [
      "288474214/9",
      "1149496610678/27"
    ],
    [
      "137835633646/1849",
      "42865256373910686/79507"
    ],
    [
      "5075789926/49",
      "329841082639074/343"
    ],
    [
      "-53406074",
      "50307852114"
    ],
    [
      "-46033670",
      "203131905678"
    ],
    [
      "-27716033",
      "278673840666"
    ],
    [
      "-12474209",
      "252665670114"
    ],
    [
      "37848940",
      "102415465728"
    ],
    [
      "1183641478",
      "40690944816210"
    ]
  ],
  "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 22:45:58",
  "updated_at": "2026-10-31 22:45:58"
}