# Properties

 Label 20160el Number of curves $1$ Conductor $20160$ CM no Rank $0$

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("el1")

sage: E.isogeny_class()

## Elliptic curves in class 20160el

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
20160.cs1 20160el1 [0, 0, 0, 1152, 45792] [] 26880 $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 20160el1 has rank $$0$$.

## Complex multiplication

The elliptic curves in class 20160el do not have complex multiplication.

## Modular form 20160.2.a.el

sage: E.q_eigenform(10)

$$q - q^{5} + q^{7} + 5q^{11} + 3q^{13} + q^{17} + 6q^{19} + O(q^{20})$$