{
  "id": 35,
  "curve_key": "81230916433275311958757899750976:-725223800598609189906582606399776710024969039360",
  "ainvs": [
    "0",
    "1",
    "0",
    "-1692310759026568999140789578145",
    "839379398840982294584587970773038145228669599"
  ],
  "rank_lower_bound": 14,
  "naive_height": 220.42454612632937,
  "faltings_height": 16.231295058121088,
  "conductor": "6116310391204554948397210171493960789901744808779000924864",
  "bad_primes": [
    "2",
    "3",
    "7",
    "23",
    "43",
    "61",
    "79",
    "103",
    "157",
    "167",
    "179",
    "191",
    "199",
    "227",
    "229",
    "257",
    "271",
    "307",
    "487",
    "619",
    "1283",
    "3739"
  ],
  "discriminant": "5815704199930544426733052300699384236781490371077607532987271868542017804622894749291937792",
  "regulator": "1234880237432417.61331645290052732159258498172313923210000459986011",
  "points": [
    [
      "988927329611391",
      "11530632350958995292984"
    ],
    [
      "681925764652050",
      "1568465432141985518043"
    ],
    [
      "982479697930607",
      "11183605599461162465976"
    ],
    [
      "665315262684159",
      "2820867968019861832248"
    ],
    [
      "816133831449855",
      "1353961721252033023032"
    ],
    [
      "20572279820626749/25",
      "250389733064763724244532/125"
    ],
    [
      "681455320541454489/841",
      "8773166366975333247857352/24389"
    ],
    [
      "8076800853180114",
      "716978870073714829212603"
    ],
    [
      "7335280971697741/9",
      "33055815750694859233124/27"
    ],
    [
      "457957201387226901/529",
      "58522059114298646792700636/12167"
    ],
    [
      "127856380845197460021/625",
      "1445688913020859355673024573444/15625"
    ],
    [
      "435462740765918268153/157609",
      "8219252385969460300109469047112/62570773"
    ],
    [
      "811768719821415721233/18769",
      "23118208949065563006261517438272/2571353"
    ],
    [
      "299475331388281185601/345744",
      "983394088087157723809198920329/203297472"
    ]
  ],
  "submitter": "David Renshaw",
  "commentary": "Found by Fermigier (1996). A curve of rank exactly 14, via Dujella's elliptic-curve rank-records tables.",
  "created_at": "2026-05-27 22:12:13",
  "updated_at": "2026-07-01 22:44:39"
}