Properties

Label 155526by
Number of curves $1$
Conductor $155526$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("by1")
 
E.isogeny_class()
 

Elliptic curves in class 155526by

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
155526.x1 155526by1 \([1, 0, 1, 1697285, 3541774142]\) \(633631943/6716184\) \(-5731574238502919252376\) \([]\) \(14902272\) \(2.8561\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 155526by1 has rank \(1\).

Complex multiplication

The elliptic curves in class 155526by do not have complex multiplication.

Modular form 155526.2.a.by

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