Properties

Label 54390.c
Number of curves $1$
Conductor $54390$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 54390.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54390.c1 54390c1 \([1, 1, 0, -5140317928, -141515312370368]\) \(2605609534839039045974276809/7178421592800000000000\) \(41382171976595032800000000000\) \([]\) \(61471872\) \(4.3641\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54390.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 54390.c do not have complex multiplication.

Modular form 54390.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} - q^{8} + q^{9} + q^{10} - q^{11} - q^{12} + q^{13} + q^{15} + q^{16} - q^{18} + O(q^{20})\) Copy content Toggle raw display