{
  "id": 280,
  "curve_key": "70836385132988587210581091729:-18547961693065847417084265231574299119116217",
  "ainvs": [
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  "rank_lower_bound": 19,
  "torsion": [],
  "naive_height": 199.29051088151377,
  "faltings_height": 14.494052885162825,
  "conductor": "20270237449228516491099532903714605797007023018097766862110470",
  "bad_primes": [
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  "discriminant": "6606173027470846981780960330759477153956670797167107093900274692986568514047180800",
  "regulator": "9995598135680440074918719326.240258542580492471704347358452558664802178323944",
  "points": [
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      "-64232873526254245232983840702822635018991480674/935138557059829273710994625"
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      "123372998345530546471486642570215944957886/6889100423429678686777"
    ],
    [
      "308340221369694912986153391492003/20089285248110916289",
      "-4441039642256212863027127724577999980935606185298/90042330716358137485184418337"
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      "3802550824058101422653449805454030027/191947574256973943811001",
      "219826828934460704864357881342649533082121426808806634/84095729470617512146111828688908499"
    ]
  ],
  "submitter": "André Röhrig",
  "commentary": "A new curve from rational Mestre/Fermigier quartic-family search with canonical primitive root sextuple (0, 1075, 1394, 2291, 4186, 4824), at search parameter T = 2697/2. Rust implemented per-family Nagao sieve through p <= 1000, a native rescore through p <= 6000, and exact PARI/GP quartic and integral-x point searches. 19 submitted points were certified independent by the leaderboard's exact verifier.\r\n\r\nFound by André Röhrig on August 21, 2026 in Austin, TX.",
  "created_at": "2026-08-22 02:40:40",
  "updated_at": "2026-08-22 02:40:40"
}