# Properties

 Label 188760.cw Number of curves $1$ Conductor $188760$ CM no Rank $0$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("cw1")

sage: E.isogeny_class()

## Elliptic curves in class 188760.cw

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
188760.cw1 188760l1 $$[0, 1, 0, -12745, -853525]$$ $$-504871936/394875$$ $$-179083558368000$$ $$[]$$ $$648000$$ $$1.4335$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 188760.cw1 has rank $$0$$.

## Complex multiplication

The elliptic curves in class 188760.cw do not have complex multiplication.

## Modular form 188760.2.a.cw

sage: E.q_eigenform(10)

$$q + q^{3} + q^{5} + 3q^{7} + q^{9} + q^{13} + q^{15} + q^{17} + 6q^{19} + O(q^{20})$$