# Properties

 Label 187200cq Number of curves $1$ Conductor $187200$ CM no Rank $1$

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("cq1")

sage: E.isogeny_class()

## Elliptic curves in class 187200cq

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
187200.z1 187200cq1 $$[0, 0, 0, 11220, -3694480]$$ $$261568120/10024911$$ $$-5986844769484800$$ $$[]$$ $$829440$$ $$1.7072$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 187200cq1 has rank $$1$$.

## Complex multiplication

The elliptic curves in class 187200cq do not have complex multiplication.

## Modular form 187200.2.a.cq

sage: E.q_eigenform(10)

$$q - 4q^{7} - q^{13} + 3q^{19} + O(q^{20})$$