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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 966.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
966.k1 | 966j1 | \([1, 0, 0, 9096, 224832]\) | \(83228502970940543/69854999176704\) | \(-69854999176704\) | \([]\) | \(3960\) | \(1.3441\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 966.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 966.k do not have complex multiplication.Modular form 966.2.a.k
sage: E.q_eigenform(10)