{
  "id": 4885,
  "curve_key": "-45344721874498165825200:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "944681705718711788025",
    "0"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 156.5057422086384,
  "faltings_height": 11.11038559569469,
  "conductor": "60459629165997554433600",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "19",
    "41",
    "43",
    "67",
    "83"
  ],
  "discriminant": "-53955595387744212919451947565948066182036510831797774553761000000",
  "regulator": "21413795.392524641772827251999183944567259407154743",
  "points": [
    [
      "346785543225/4",
      "216670567050350325/8"
    ],
    [
      "364459790088900/41209",
      "25161338100013326005850/8365427"
    ],
    [
      "1047769243236/25",
      "1329997258872422766/125"
    ],
    [
      "122449605184",
      "44177751736092152"
    ],
    [
      "14422396141344961/222784",
      "1917332104776176999998241/105154048"
    ],
    [
      "52667517903121/900",
      "431733119058336099169/27000"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained by a rational 2-isogeny from curve #4722, 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 22:29:48",
  "updated_at": "2026-10-20 22:29:48"
}