# Properties

 Label 155526.ce Number of curves $1$ Conductor $155526$ CM no Rank $0$

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("ce1")

sage: E.isogeny_class()

## Elliptic curves in class 155526.ce

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
155526.ce1 155526bp1 $$[1, 1, 1, 235776876, 935222011989]$$ $$83228502970940543/69854999176704$$ $$-1216613827234301684822828544$$ $$[]$$ $$100362240$$ $$3.8848$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 155526.ce1 has rank $$0$$.

## Complex multiplication

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

## Modular form 155526.2.a.ce

sage: E.q_eigenform(10)

$$q + q^{2} - q^{3} + q^{4} + 3q^{5} - q^{6} + q^{8} + q^{9} + 3q^{10} - 4q^{11} - q^{12} + 3q^{13} - 3q^{15} + q^{16} - 4q^{17} + q^{18} + O(q^{20})$$