Properties

Label 2064.k
Number of curves $1$
Conductor $2064$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 2064.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2064.k1 2064m1 \([0, 1, 0, -309, -2205]\) \(-799178752/3483\) \(-14266368\) \([]\) \(576\) \(0.22603\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2064.k1 has rank \(0\).

Complex multiplication

The elliptic curves in class 2064.k do not have complex multiplication.

Modular form 2064.2.a.k

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{5} + 2 q^{7} + q^{9} + 5 q^{11} + 3 q^{13} - 2 q^{15} - 3 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display