Properties

Label 546.e
Number of curves $1$
Conductor $546$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands for: SageMath
sage: E = EllipticCurve("e1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 546.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
546.e1 546e1 \([1, 1, 1, -100484, -12372091]\) \(-112205650221491190337/745029571313664\) \(-745029571313664\) \([]\) \(4760\) \(1.6893\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 546.e1 has rank \(0\).

Complex multiplication

The elliptic curves in class 546.e do not have complex multiplication.

Modular form 546.2.a.e

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} + 3q^{5} - q^{6} - q^{7} + q^{8} + q^{9} + 3q^{10} + q^{11} - q^{12} - q^{13} - q^{14} - 3q^{15} + q^{16} + 7q^{17} + q^{18} + q^{19} + O(q^{20})\)  Toggle raw display