# Properties

 Label 189618.bp Number of curves $1$ Conductor $189618$ CM no Rank $0$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("bp1")

sage: E.isogeny_class()

## Elliptic curves in class 189618.bp

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
189618.bp1 189618h1 $$[1, 0, 0, -9396, -351378]$$ $$-41756642210557/4634982$$ $$-10183055454$$ $$[]$$ $$228096$$ $$0.94915$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 189618.bp1 has rank $$0$$.

## Complex multiplication

The elliptic curves in class 189618.bp do not have complex multiplication.

## Modular form 189618.2.a.bp

sage: E.q_eigenform(10)

$$q + q^{2} + q^{3} + q^{4} - q^{5} + q^{6} + q^{7} + q^{8} + q^{9} - q^{10} + q^{11} + q^{12} + q^{14} - q^{15} + q^{16} + q^{17} + q^{18} + 6q^{19} + O(q^{20})$$