Properties

Label 864.f
Number of curves $1$
Conductor $864$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("f1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 864.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
864.f1 864d1 \([0, 0, 0, -3, -6]\) \(-216\) \(-13824\) \([]\) \(48\) \(-0.52078\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 864.f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 864.f do not have complex multiplication.

Modular form 864.2.a.f

sage: E.q_eigenform(10)
 
\(q - q^{5} + 3 q^{7} - 3 q^{11} + 4 q^{17} + 6 q^{19} + O(q^{20})\)  Toggle raw display