{
  "id": 3090,
  "curve_key": "1370976810837611350525350265384375041:-1603241883755182733365872243090940612148906063501737089",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-28562016892450236469278130528841147",
    "1855604032124054096684337837801147788788173909411371"
  ],
  "rank_lower_bound": 10,
  "torsion": [
    4
  ],
  "naive_height": 249.6257605025187,
  "faltings_height": 18.58398838004577,
  "conductor": "739676219036898857957413188000804190859490",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "19",
    "23",
    "29",
    "31",
    "37",
    "41",
    "47",
    "101",
    "271",
    "2153",
    "14009",
    "26833",
    "778360019"
  ],
  "discriminant": "3745667525283503499761187017373613355048815419084552325267964531485308997497851238001327504641600000000",
  "regulator": "347978520.9821089362661229244539122160141524532668602233083",
  "points": [
    [
      "-35654245600770339",
      "-53184928493164853355793706"
    ],
    [
      "102663271430755911",
      "2319240609938111081641294"
    ],
    [
      "52673995966314411",
      "22299665827759615565408794"
    ],
    [
      "91736654652562531",
      "2727711406692375247325914"
    ],
    [
      "100595198949492411",
      "603919072698101752016794"
    ],
    [
      "-65816389876514589",
      "-58739676675009736575030206"
    ],
    [
      "104943321056725411",
      "3736640023782459047249794"
    ],
    [
      "85100033778102759",
      "6424267594322106960581806"
    ],
    [
      "109620193709308971",
      "6472309265284227861714874"
    ],
    [
      "131809366710013161",
      "19516154123990917016704294"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Eroshkin (2010). Source: https://dujella.github.io/tors/z4old9101112.html (curve entry 32). Published independent points; exact point coordinates checked.",
  "created_at": "2026-09-26 20:36:48",
  "updated_at": "2026-09-26 20:36:48"
}