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SageMath
E = EllipticCurve("ki1")
E.isogeny_class()
Elliptic curves in class 159936.ki
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
159936.ki1 | 159936ch1 | \([0, 1, 0, -57969, 5292783]\) | \(26835062456272/345025251\) | \(276991791906816\) | \([]\) | \(806400\) | \(1.5797\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 159936.ki1 has rank \(0\).
Complex multiplication
The elliptic curves in class 159936.ki do not have complex multiplication.Modular form 159936.2.a.ki
sage: E.q_eigenform(10)