{
  "id": 4082,
  "curve_key": "6742095672131977798491159371464339958189442297156769:-330239076789448169466413039166570733482356419766918164494266172548631895030897",
  "ainvs": [
    "1",
    "0",
    "0",
    "-140460326502749537468565820238840415795613381190766",
    "382221153691490936882422487330355584819895511609003596409440087111653297796"
  ],
  "rank_lower_bound": 20,
  "torsion": [
    2
  ],
  "naive_height": 358.0206316496251,
  "faltings_height": 27.87702830580329,
  "conductor": "428610428388219248912417769724228361243960259613932319147782453962458759457805385527477270",
  "bad_primes": [
    "2",
    "3",
    "5",
    "13",
    "23",
    "37",
    "53",
    "61",
    "71",
    "79",
    "109",
    "137",
    "263",
    "317",
    "367",
    "661",
    "1109",
    "1237",
    "2141",
    "3253",
    "3881",
    "8011",
    "11027",
    "12781",
    "15731",
    "17483",
    "28001",
    "39023",
    "894227",
    "22707917"
  ],
  "discriminant": "114241822360835408022497488127981153328766853453112544693298950039520879355932126845633749815303489485454500529255910159684390248628331209573420111360000",
  "regulator": "229676653253281008959036.074647951944341475534026264752044499123880521083225094",
  "points": [
    [
      "2641597131823941957374076",
      "5441940497955440906986568215656732162"
    ],
    [
      "466905985240466097274326",
      "17797223733581213243795627916348128262"
    ],
    [
      "10437960597139236520241376",
      "7302620685206335646070623599504886562"
    ],
    [
      "-12984978709037778813697924",
      "4086869312000917899601620049435877762"
    ],
    [
      "-13027546053772403413177020",
      "1038779645440061360583420771133306914"
    ],
    [
      "13384735110081775722929154",
      "30001456011267245049298735880795787078"
    ],
    [
      "14021144082168661116485976",
      "34194417450345061734083845152467397762"
    ],
    [
      "-11471553834300448260490974",
      "21997783369037616526786552947786718662"
    ],
    [
      "-11931248349223783259300724",
      "18963624814300308603408867560931810162"
    ],
    [
      "25221665109215306309139420",
      "113507250717478750062017929586557392066"
    ],
    [
      "32205880609571134538071026",
      "171064653691004134205440187169715597062"
    ],
    [
      "53355120655471559117048220",
      "380496572431457095308693628780162831266"
    ],
    [
      "252203790183721853970237954",
      "4000852593559881395170775500392342349638"
    ],
    [
      "2239891075446620610855095526",
      "106006934804287963526340379607969513662662"
    ],
    [
      "29521433222654541478565973/16",
      "727859285683062603458635464642132821133/64"
    ],
    [
      "29853403925373464725832101404",
      "5158111804922473329282691643686612591542978"
    ],
    [
      "28094262075171197204844686844/169",
      "4697189704339374532830721381304076253063914/2197"
    ],
    [
      "3661046976142816018324918044/1369",
      "256888313800372755145649475360876056054586/50653"
    ],
    [
      "14663550946762874316655034700/1369",
      "522988767653815141667883938442806437260858/50653"
    ],
    [
      "-9927826461265172698413384804/1849",
      "2490994928154364512103743298236080109376806/79507"
    ]
  ],
  "submitter": "wgxli",
  "history": [],
  "commentary": "2-isogenous to curve #4078",
  "created_at": "2026-10-09 05:46:51",
  "updated_at": "2026-10-09 05:46:51"
}