{
  "id": 3619,
  "curve_key": "14699797670141043361:-55330624739747085895062471025",
  "ainvs": [
    "1",
    "0",
    "0",
    "-306245784794605070",
    "64040074904742348830845956"
  ],
  "rank_lower_bound": 10,
  "torsion": [
    2
  ],
  "naive_height": 132.40309621094042,
  "faltings_height": 8.925543191540719,
  "conductor": "58287634249314930726735678",
  "bad_primes": [
    "2",
    "3",
    "11",
    "19",
    "31",
    "67",
    "83",
    "101",
    "107",
    "163",
    "199",
    "211",
    "283",
    "1171"
  ],
  "discriminant": "66501043597772984691535672771404066586585155058532352",
  "regulator": "1968061523.313764057184592244702821463028910678164726865356",
  "points": [
    [
      "-398130470",
      "11084378779744"
    ],
    [
      "282934750",
      "204830623366"
    ],
    [
      "383433340",
      "1728400859746"
    ],
    [
      "447621052",
      "4079657364514"
    ],
    [
      "1236546652",
      "39699401800354"
    ],
    [
      "-13851337964/25",
      "997185912343394/125"
    ],
    [
      "-7981736/9",
      "216525318370006/27"
    ],
    [
      "10924815979/100",
      "5646818916905563/1000"
    ],
    [
      "260337695122/529",
      "69378772748445848/12167"
    ],
    [
      "59691365402140/157609",
      "96504804645491159242/62570773"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Specialization at T = -17/2 of the rank-9 fibration of X400, y^2 + (Lx+B)y = x(x+D)(x+E), given in the commentary of curve #802 (same T), found by searching small-height t = a/b for small conductor, with points from a 2-descent (PARI ellrank).",
  "created_at": "2026-09-29 19:20:47",
  "updated_at": "2026-09-29 19:20:47"
}