{
  "id": 4902,
  "curve_key": "-1726384278927358714429632:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "35966339144319973217284",
    "0"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 167.424214323188,
  "faltings_height": 12.020258271907156,
  "conductor": "287730713154559785738272",
  "bad_primes": [
    "2",
    "17",
    "73",
    "233",
    "353",
    "929"
  ],
  "discriminant": "-2977615931182250720359024961552204639161073593917072431934478205587456",
  "regulator": "398962827.47176892088493678974256679248764016339211",
  "points": [
    [
      "18588937397121/1024",
      "841116018755078360385/32768"
    ],
    [
      "2023106576867998493472225/305384292661504",
      "82426907426117936297982513025006695855/5336666249564362452992"
    ],
    [
      "382714316884608200109121/18504705024",
      "236771988316249880300779808313464735/2517232033824768"
    ],
    [
      "10832174026764487929/411116176",
      "259072889593282954069467726195/8335791584576"
    ],
    [
      "1934078816380827894577849/718800765411600",
      "189599609718432561433158418917367128493/19271379169037085336000"
    ],
    [
      "189048070127331859223349025/27554926986445824",
      "71898115505121885703832444236202358844465/4574028822225986591096832"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained by a rational 2-isogeny from curve #4724, submitted by David Renshaw and sourced to Watkins et al.'s electronic data PTS.r6r7: http://magma.maths.usyd.edu.au/~watkins/PTS.r6r7, accompanying Section 15 of Ranks of quadratic twists of elliptic curves (2014): https://doi.org/10.5802/pmb.9. Six rational points transported through the isogeny and checked exactly. Rational torsion C2. Same rank and conductor as the source. Source-attributed existing curve.",
  "created_at": "2026-10-20 22:33:29",
  "updated_at": "2026-10-20 22:33:29"
}