# Properties

 Label 236992.cs Number of curves $1$ Conductor $236992$ CM no Rank $0$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("cs1")

sage: E.isogeny_class()

## Elliptic curves in class 236992.cs

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
236992.cs1 236992cs1 $$[0, 0, 0, -243340, 49252016]$$ $$-621000/49$$ $$-125738623918702592$$ $$[]$$ $$4733952$$ $$2.0281$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 236992.cs1 has rank $$0$$.

## Complex multiplication

The elliptic curves in class 236992.cs do not have complex multiplication.

## Modular form 236992.2.a.cs

sage: E.q_eigenform(10)

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