# Properties

 Label 236992.bu Number of curves $1$ Conductor $236992$ CM no Rank $1$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("bu1")

sage: E.isogeny_class()

## Elliptic curves in class 236992.bu

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
236992.bu1 236992bu1 $$[0, 1, 0, -178449, 32360615]$$ $$-340736/49$$ $$-90374635941567488$$ $$[]$$ $$1695744$$ $$1.9842$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 236992.bu1 has rank $$1$$.

## Complex multiplication

The elliptic curves in class 236992.bu do not have complex multiplication.

## Modular form 236992.2.a.bu

sage: E.q_eigenform(10)

$$q + q^{3} - 2q^{5} - q^{7} - 2q^{9} - q^{13} - 2q^{15} + 8q^{17} + 2q^{19} + O(q^{20})$$