# Properties

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

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("bm1")

sage: E.isogeny_class()

## Elliptic curves in class 189618bm

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
189618.e1 189618bm1 $$[1, 1, 0, -3955, -1921811]$$ $$-3115334495125/723183538176$$ $$-1588834233372672$$ $$[]$$ $$1057536$$ $$1.5961$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 189618bm1 has rank $$0$$.

## Complex multiplication

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

## Modular form 189618.2.a.bm

sage: E.q_eigenform(10)

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