# Properties

 Label 58800cg Number of curves $1$ Conductor $58800$ CM no Rank $1$

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("cg1")

sage: E.isogeny_class()

## Elliptic curves in class 58800cg

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58800.q1 58800cg1 $$[0, -1, 0, -583, 7162]$$ $$-71680/27$$ $$-8268750000$$ $$[]$$ $$34560$$ $$0.61282$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 58800cg1 has rank $$1$$.

## Complex multiplication

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

## Modular form 58800.2.a.cg

sage: E.q_eigenform(10)

$$q - q^{3} + q^{9} - 4q^{11} - q^{13} - 6q^{17} + 3q^{19} + O(q^{20})$$