{
  "id": 4299,
  "curve_key": "55786394924608:-416151472607003501056",
  "ainvs": [
    "0",
    "1",
    "0",
    "-1162216560929",
    "481656409593326335"
  ],
  "rank_lower_bound": 10,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 94.95765341109548,
  "faltings_height": 5.694631143426209,
  "conductor": "28892029830345508681664",
  "bad_primes": [
    "2",
    "17",
    "47",
    "127",
    "151",
    "191",
    "383",
    "457",
    "1103"
  ],
  "discriminant": "250006313131651506456679859975585792",
  "regulator": "4254368190.378804741238650561141049632759699342217139276476",
  "points": [
    [
      "1078509",
      "-694765028"
    ],
    [
      "2215290",
      "-2962865495"
    ],
    [
      "145012201/225",
      "60440874976/3375"
    ],
    [
      "641049",
      "-7360808"
    ],
    [
      "6512341/9",
      "3775089716/27"
    ],
    [
      "685209",
      "83720072"
    ],
    [
      "5666829",
      "-13261757332"
    ],
    [
      "35372985/49",
      "-47107948000/343"
    ],
    [
      "16545381/25",
      "-6071065204/125"
    ],
    [
      "702765",
      "-109418500"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained by a rational 2-isogeny from curve#4247, submitted by Michael Rubinstein and sourced from his elliptic-curves-by-rank repository. This isogenous curve has the same rank and conductor. The ten supplied points were transported from the source curve.",
  "created_at": "2026-10-16 19:06:44",
  "updated_at": "2026-10-16 19:06:44"
}