{
  "id": 2009,
  "curve_key": "38417619359618938886209419825:-7506866373785508403731291670936394382515625",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-800367069992061226796029580",
    "8688502747437131114604641152964562876047"
  ],
  "rank_lower_bound": 13,
  "torsion": [
    2
  ],
  "naive_height": 197.45494110806777,
  "faltings_height": 14.270753077158668,
  "conductor": "224593554269612009864883936329730274909323150",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "17",
    "19",
    "29",
    "37",
    "41",
    "47",
    "127",
    "139",
    "197",
    "3319",
    "3919",
    "4441",
    "499267",
    "1076903"
  ],
  "discriminant": "201411703273443894919231536176267832442469738144720512622234592951491690496000000",
  "regulator": "20623821025596243.47188779204192799716381536568774874736016984508",
  "points": [
    [
      "123502737603530077/5929",
      "-14827866757886810632762407/456533"
    ],
    [
      "349910127263512166710043395301641835085049617585070098252548008084008885468568628954665/13176845318758707920950578242201416207122710384765709473005968974628309361",
      "-3754234784904142540851804231206743881715636269613363824879001362654477804838181105251538180168714465287966039971567885406264989793/47831849260950053081770740598383701089644404607911566843784549329451287968229827204846865535823281755468938359"
    ],
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    ],
    [
      "58311353884746069",
      "-14080874813845710739535435"
    ],
    [
      "48171855644737490781529/2240034241",
      "3997754322744890826895269515506585/106018580592289"
    ],
    [
      "1470178511439437805836879238705918783132346124466908970472885/68600044051954653617771282794431388108765039329",
      "-667201395811214664840586090598214807870727759335200087547928957608276040445607793106611963/17967456078160005775687787657273610698653743023849575505197957161112017"
    ],
    [
      "19990100617045",
      "-26023290093394663499"
    ],
    [
      "43225393123879013523404042169573083827377901549/856561573329084339525029808089721",
      "7800065635114194249153648535581200705297265831213143314889091213542065/25069050261587156771255174674070916788339903595981"
    ],
    [
      "43269546123395528375778541/2099360472889",
      "-93649921222004173412286792231752558255/3041799078296911213"
    ],
    [
      "39481975081408285/169",
      "7790054391655062622217881/2197"
    ],
    [
      "4960531706411645877312549/37291858321",
      "-10816304174613207377722714258386926285/7201468052226631"
    ],
    [
      "2652857088968940518542224685/144661742506681",
      "23225692741673992402991001482407080935953/1739925039130548501421"
    ],
    [
      "39055086244264673989701228193/2268965183926336",
      "370554547441162776257142527894524784165565/108079107047123818364416"
    ]
  ],
  "submitter": "Steps Unbounded",
  "history": [],
  "commentary": "2-isogenous partner of curve#1920 (Lozano-Robledo, rank 13). Found by enumerating that curve's Q-isogeny class: for each member the seed's 13 witness points were carried across the isogeny to that member's own minimal model, and the off-record members with independent images were kept - this curve is one of them.",
  "created_at": "2026-09-26 04:59:07",
  "updated_at": "2026-09-26 04:59:07"
}