Properties

Label 966.k
Number of curves $1$
Conductor $966$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("k1")
 
sage: 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)
 
\(q + q^{2} + q^{3} + q^{4} + 3q^{5} + q^{6} - q^{7} + q^{8} + q^{9} + 3q^{10} + 4q^{11} + q^{12} - 3q^{13} - q^{14} + 3q^{15} + q^{16} - 4q^{17} + q^{18} + O(q^{20})\)  Toggle raw display