Properties

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

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 864.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
864.b1 864k1 \([0, 0, 0, 24, 16]\) \(1536\) \(-995328\) \([]\) \(96\) \(-0.16023\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 864.b1 has rank \(1\).

Complex multiplication

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

Modular form 864.2.a.b

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