{
  "id": 471,
  "curve_key": "51591541639026271489:-370413353215244315597524465537",
  "ainvs": [
    "1",
    "0",
    "0",
    "-1074823784146380656",
    "428719158724371531410862336"
  ],
  "rank_lower_bound": 14,
  "torsion": [],
  "naive_height": 136.16966823365823,
  "faltings_height": 9.089918074911132,
  "conductor": "26259581507169921361816476153125499685328670",
  "bad_primes": [
    "2",
    "3",
    "5",
    "13",
    "331",
    "1097",
    "55098185820203",
    "3365513002778618976293"
  ],
  "discriminant": "66257033241903953545157666376524076784274994640281600",
  "regulator": "15024385522048.3492377558448956016474396248950653065438032197990204",
  "points": [
    [
      "758267514496",
      "-660288174551206928"
    ],
    [
      "475326460",
      "-5022186872156"
    ],
    [
      "587698720",
      "-178427158064"
    ],
    [
      "808242946",
      "9379921263922"
    ],
    [
      "608563720",
      "-43329540656"
    ],
    [
      "5833765581/16",
      "591075512003313/64"
    ],
    [
      "-1181857124",
      "6943609832032"
    ],
    [
      "-9814610435/16",
      "-1873790360956151/64"
    ],
    [
      "546770716",
      "2120713770592"
    ],
    [
      "99376916440/169",
      "303411464395768/2197"
    ],
    [
      "3233937280/9",
      "-254580942974128/27"
    ],
    [
      "98253282071896/172225",
      "-78757483748777652176/71473375"
    ],
    [
      "917001096",
      "14635201672872"
    ],
    [
      "8691943216",
      "804832066978192"
    ]
  ],
  "submitter": "Alexandar Slavov",
  "history": [],
  "commentary": "This curve was found by Aleksandar Lyubomirov Slavov, a 17-year-old independent researcher and high-school student from Bulgaria, as the specialization (T=3) of the Mestre/Fermigier quartic construction with sextuple (348,-600,-216,492,876,-900). It was identified during a computational search over specializations using multi-bound Mestre–Nagao screening and exact rational-point search. Four additional non-obvious quartic points were found. Exact eclib saturation and the ICARM verifier certify the displayed 14 rational points as independent, establishing rank ≥14.",
  "created_at": "2026-08-31 17:21:34",
  "updated_at": "2026-08-31 17:21:34"
}