{
  "id": 4898,
  "curve_key": "-184952766798031687359408:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "3853182641625660153321",
    "0"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 160.72316229224919,
  "faltings_height": 11.461837269328923,
  "conductor": "246603689064042249812544",
  "bad_primes": [
    "2",
    "3",
    "7",
    "17",
    "41",
    "751",
    "5647"
  ],
  "discriminant": "-3661329033028852273755752931343351827834791139955501474776057290304",
  "regulator": "1254511441.6403883663914029876584191253239188595990",
  "points": [
    [
      "2448883819972526049/223502500",
      "22046447373985553189634070407/3341362375000"
    ],
    [
      "1129113255738708100/41977441",
      "3017591670728171551404254410/271971840239"
    ],
    [
      "4061461916160000/786769",
      "3123164331419811066273600/697864103"
    ],
    [
      "333560026594117242623025/10786587078436",
      "432034885766681226600656405156979345/35426323222184884184"
    ],
    [
      "88920605851915945568400/59064066961",
      "26538261374151991793742441229990620/14354399257598791"
    ],
    [
      "2429734377423865421160328893609024/71635116158712758656225",
      "249774349637321841134351785092182978624993541368232/19172950639027770941798388235836625"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained by a rational 2-isogeny from curve #4726, 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 22:32:10",
  "updated_at": "2026-10-20 22:32:10"
}