Properties

Label 864c
Number of curves $1$
Conductor $864$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("c1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 864c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
864.c1 864c1 \([0, 0, 0, 24, -16]\) \(1536\) \(-995328\) \([]\) \(96\) \(-0.16023\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 864c1 has rank \(1\).

Complex multiplication

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

Modular form 864.2.a.c

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