# Properties

 Label 193200cc Number of curves $1$ Conductor $193200$ CM no Rank $0$

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("cc1")

sage: E.isogeny_class()

## Elliptic curves in class 193200cc

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
193200.dz1 193200cc1 $$[0, 1, 0, 3638392, -1791379212]$$ $$83228502970940543/69854999176704$$ $$-4470719947309056000000$$ $$[]$$ $$10264320$$ $$2.8420$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 193200cc1 has rank $$0$$.

## Complex multiplication

The elliptic curves in class 193200cc do not have complex multiplication.

## Modular form 193200.2.a.cc

sage: E.q_eigenform(10)

$$q + q^{3} - q^{7} + q^{9} - 4q^{11} + 3q^{13} + 4q^{17} + O(q^{20})$$