# Properties

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

# Related objects

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

sage: E.isogeny_class()

## Elliptic curves in class 189618bp

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
189618.h1 189618bp1 $$[1, 1, 0, 193333, -23298004803]$$ $$165568631260031/48580832601759744$$ $$-234490400029667348176896$$ $$[]$$ $$21525504$$ $$3.1632$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

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

## Complex multiplication

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

## Modular form 189618.2.a.bp

sage: E.q_eigenform(10)

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