Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 864a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
864.e1 864a1 \([0, 0, 0, -3, 6]\) \(-216\) \(-13824\) \([]\) \(48\) \(-0.52078\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 864a1 has rank \(1\).

Complex multiplication

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

Modular form 864.2.a.a

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