Properties

Label 54080cn
Number of curves $1$
Conductor $54080$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("cn1")
 
E.isogeny_class()
 

Elliptic curves in class 54080cn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54080.b1 54080cn1 \([0, 0, 0, -4108, -100568]\) \(44302512384/390625\) \(67600000000\) \([]\) \(122880\) \(0.90161\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54080cn1 has rank \(0\).

Complex multiplication

The elliptic curves in class 54080cn do not have complex multiplication.

Modular form 54080.2.a.cn

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} - q^{5} + 3 q^{7} + 6 q^{9} - 5 q^{11} + 3 q^{15} + 3 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display