{
  "id": 4957,
  "curve_key": "0:21116289262033205102552705705992068648",
  "ainvs": [
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    "0",
    "1",
    "0",
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  "rank_lower_bound": 14,
  "torsion": [],
  "family": "mordell",
  "families": [
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  "naive_height": 171.88621618673326,
  "faltings_height": 12.381507258019402,
  "conductor": "20010625156114155541673742142742291061353130759380219529827363403",
  "bad_primes": [
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    "7",
    "19",
    "17431",
    "11742876743532235184470771"
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  "regulator": "3503616758959800797841436389.00658220603157086462084887037178581345",
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    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained by a rational 3-isogeny from curve #639, submitted by Maksym Voznyy: https://elliptic-rank.icarm.cloud/curve/639.\r\n\r\nThe source commentary credits “Reynya - Voznyy (2026)”. The source model is y^2 + y = x^3 + 905190726253138078813130388631347.\r\n\r\nCompleted the square with Y = y + 1/2 and B = 905190726253138078813130388631347 + 1/4. Applied the degree-3 isogeny X = (x^3 + 4B)/x^2, V = Y*(x^3 - 8B)/x^3, then set y' = V - 1/2. The resulting model is y'^2 + y' = X^3 - 24440149608834728127954520493046376.\r\n\r\nFourteen supplied rational points transported through this map and checked exactly on the target curve. Rational torsion trivial. Same rank and conductor as the source; conductor 20010625156114155541673742142742291061353130759380219529827363403. Source-attributed existing curve.",
  "created_at": "2026-10-20 23:49:02",
  "updated_at": "2026-10-20 23:49:02"
}