Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("j1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 864.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
864.j1 864e1 \([0, 0, 0, 216, -432]\) \(1536\) \(-725594112\) \([]\) \(288\) \(0.38908\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 864.j1 has rank \(0\).

Complex multiplication

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

Modular form 864.2.a.j

sage: E.q_eigenform(10)
 
\(q + 2 q^{5} - q^{7} - 2 q^{11} + q^{13} + 6 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display