{
  "id": 97,
  "curve_key": "497435293115885932965361:-363056242355771001963703384937665609",
  "ainvs": [
    "1",
    "0",
    "0",
    "-10363235273247623603445",
    "420203984207204686370404578747937"
  ],
  "rank_lower_bound": 17,
  "naive_height": 163.75973165737193,
  "faltings_height": 11.566582574023533,
  "conductor": "14671894523046150637866090498215403768993465347230",
  "bad_primes": [
    "2",
    "5",
    "7",
    "13",
    "613",
    "1024411",
    "19339667",
    "2352864853",
    "5453069033",
    "103472067337"
  ],
  "discriminant": "-5048330766436983365467936939800781032431719923365507757411328000000",
  "regulator": "170247190042437.264079785742106157706972865281708359581724807739340544747",
  "points": [
    [
      "27818223314",
      "-12387282451487657"
    ],
    [
      "259321349714",
      "123172612765731543"
    ],
    [
      "46234992594",
      "-6316291369579177"
    ],
    [
      "94745825874",
      "-16995409414228777"
    ],
    [
      "60159528674",
      "-3805832132220377"
    ],
    [
      "44236152114",
      "-6952523701485257"
    ],
    [
      "-109704598486",
      "15388129882508943"
    ],
    [
      "115544232594",
      "-27665228871893417"
    ],
    [
      "41433429464",
      "7870784808865993"
    ],
    [
      "52821878354",
      "-4492179472932137"
    ],
    [
      "95371607394",
      "-17300951018924377"
    ],
    [
      "57062624864",
      "-3828168140667857"
    ],
    [
      "51138107314",
      "-4896893849399657"
    ],
    [
      "63014091294",
      "-4170037882068317"
    ],
    [
      "34556507314",
      "-10166260332899657"
    ],
    [
      "42727121682",
      "-7444193513075305"
    ],
    [
      "544874284066/9",
      "103516527083663981/27"
    ]
  ],
  "submitter": "David Renshaw",
  "commentary": "Generated by local generalized Mestre/Fermigier quartic-family search: Mestre parameters u=-2, v=-4, specialization T=2429/5. Found in uv-smoke-5 by Nagao stage-1 sieve (M=200, m<=5000, n<=12), rescored at M=1000, selected by exact minimal-height triage, and certified with famcert from quartic-side rational points.",
  "created_at": "2026-06-23 13:32:30",
  "updated_at": "2026-07-01 22:35:39"
}