# Properties

 Label 139650.bk Number of curves $1$ Conductor $139650$ CM no Rank $1$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("bk1")

sage: E.isogeny_class()

## Elliptic curves in class 139650.bk

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
139650.bk1 139650jf1 $$[1, 1, 0, 1935, 156885]$$ $$272199695/3735552$$ $$-10987098931200$$ $$[]$$ $$294912$$ $$1.1831$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 139650.bk1 has rank $$1$$.

## Complex multiplication

The elliptic curves in class 139650.bk do not have complex multiplication.

## Modular form 139650.2.a.bk

sage: E.q_eigenform(10)

$$q - q^{2} - q^{3} + q^{4} + q^{6} - q^{8} + q^{9} + q^{11} - q^{12} - 4 q^{13} + q^{16} - 4 q^{17} - q^{18} + q^{19} + O(q^{20})$$