{
  "id": 4816,
  "curve_key": "0:-1075688786085787654272",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "1245010169080772748"
  ],
  "rank_lower_bound": 11,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 96.85449628103311,
  "faltings_height": 6.128863932544387,
  "conductor": "57409271152390160973432335585906352",
  "bad_primes": [
    "2",
    "3",
    "223",
    "14009",
    "3690091583"
  ],
  "discriminant": "-669621738721478837594114762274011689728",
  "regulator": "8688108054764613.85067000874114034643803187048424846655234024",
  "points": [
    [
      "-33818108706294842/33555278761",
      "2891737489207732627511870/6146689518718741"
    ],
    [
      "-24896406637047602/48277317841",
      "11164984289199108410268770/10607540553342361"
    ],
    [
      "-23854386948275162/49845474121",
      "11858074231216920377123710/11128550397728581"
    ],
    [
      "6304243093926982/88230979369",
      "29247026146882780549116610/26207865418829653"
    ],
    [
      "2161857425219423926/1068173925625",
      "3408975206360919420503399326/1103984456481578125"
    ],
    [
      "10774111423677092926/3081797805025",
      "35876389877799338019671115326/5410111455710412625"
    ],
    [
      "12133885658871090238/3334863997921",
      "42809594227309455579727677890/6089998573307411281"
    ],
    [
      "13522138010853839638/3583679949721",
      "50297113227704648317534592990/6784124749298785981"
    ],
    [
      "40903805731410188782/7484256933169",
      "262600395334668506140478154530/20474958609576960553"
    ],
    [
      "167536014542048825926/19148369533225",
      "2170528730582897188481103610174/83791063014896279125"
    ],
    [
      "2434928540015113616557/181000348527769",
      "120182255078727350440944816855985/2435112985966088545853"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "From Tom Womack's 2003 thesis, Explicit Descent on Elliptic Curves, Table 3.3: https://johncremona.github.io/theses/womack.pdf. This is the rational 3-isogenous partner of y^2=x^3-46111487743732324, attributed to Jordi Quer (1987) in source curve #4700, submitted by jesper-petersen: https://elliptic-rank.icarm.cloud/curve/4700. I transported its eleven supplied rational points through the degree-3 isogeny and checked them exactly on this minimal model. Rational torsion trivial. Source-attributed existing curve.",
  "created_at": "2026-10-20 21:51:00",
  "updated_at": "2026-10-20 21:51:00"
}