# Properties

 Label 58800bb Number of curves $1$ Conductor $58800$ CM no Rank $2$

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("bb1")

sage: E.isogeny_class()

## Elliptic curves in class 58800bb

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58800.u1 58800bb1 $$[0, -1, 0, -408, 18747]$$ $$-160000/3087$$ $$-145272985200$$ $$[]$$ $$55296$$ $$0.82282$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 58800bb1 has rank $$2$$.

## Complex multiplication

The elliptic curves in class 58800bb do not have complex multiplication.

## Modular form 58800.2.a.bb

sage: E.q_eigenform(10)

$$q - q^{3} + q^{9} - 3q^{11} - 2q^{17} - 8q^{19} + O(q^{20})$$