Properties

Label 155526.ck
Number of curves $1$
Conductor $155526$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("ck1")
 
E.isogeny_class()
 

Elliptic curves in class 155526.ck

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
155526.ck1 155526b1 \([1, 0, 0, -70039082, -217012193196]\) \(4124146838737/178564176\) \(1645149092565071515204944\) \([]\) \(33067008\) \(3.4103\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 155526.ck1 has rank \(1\).

Complex multiplication

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

Modular form 155526.2.a.ck

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