# Properties

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

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("bg1")

sage: E.isogeny_class()

## Elliptic curves in class 236992.bg

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
236992.bg1 236992bg1 $$[0, 0, 0, 1012, 6256]$$ $$3306204/2401$$ $$-83239174144$$ $$[]$$ $$135168$$ $$0.78376$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 236992.bg1 has rank $$1$$.

## Complex multiplication

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

## Modular form 236992.2.a.bg

sage: E.q_eigenform(10)

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