{
  "id": 1492,
  "curve_key": "438425633172660938860023130250401:-5096674630080997484745360580834365078847233345649",
  "ainvs": [
    "1",
    "0",
    "0",
    "-9133867357763769559583815213550",
    "5898928970001153735077443080836755542607104132"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    12
  ],
  "naive_height": 225.48222898072208,
  "faltings_height": 16.836358486210774,
  "conductor": "1639541630444190330",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "13",
    "17",
    "37",
    "109",
    "127",
    "139",
    "337",
    "937"
  ],
  "discriminant": "33736564439984489220424804930520511238248767591729688121158574830395925522581911998038016000000",
  "regulator": "5553.9410476890878622698296558417487964258241",
  "points": [
    [
      "4204348247204497431676/1181569",
      "174459193311666615006931331416894/1284365503"
    ],
    [
      "-13576412615559927332163422276/16467437044081",
      "7580701806997379454577508422390093349013842/66825007731814094729"
    ],
    [
      "-5080488068040264016467071754116/1668493829534401",
      "5044765358471176212902746130566345127146382978/68153302822251414061601"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/12. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 00:36:19",
  "updated_at": "2026-09-25 00:36:19"
}