Properties

Label 55545k
Number of curves $1$
Conductor $55545$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 55545k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
55545.n1 55545k1 \([0, 1, 1, -61, -230]\) \(-48234496/7875\) \(-4165875\) \([]\) \(9216\) \(-0.0022547\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 55545k1 has rank \(0\).

Complex multiplication

The elliptic curves in class 55545k do not have complex multiplication.

Modular form 55545.2.a.k

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