Properties

Label 54096.n
Number of curves $1$
Conductor $54096$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 54096.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54096.n1 54096bu1 \([0, -1, 0, 468424, -144973968]\) \(68769820673/94610592\) \(-15638030940591489024\) \([]\) \(806400\) \(2.3687\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54096.n1 has rank \(0\).

Complex multiplication

The elliptic curves in class 54096.n do not have complex multiplication.

Modular form 54096.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} - 2 q^{11} - q^{13} + q^{15} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display