# Properties

 Label 15680p Number of curves $1$ Conductor $15680$ CM no Rank $0$

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("p1")

sage: E.isogeny_class()

## Elliptic curves in class 15680p

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
15680.bg1 15680p1 [0, -1, 0, 159, 4705] [] 7680 $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 15680p1 has rank $$0$$.

## Complex multiplication

The elliptic curves in class 15680p do not have complex multiplication.

## Modular form 15680.2.a.p

sage: E.q_eigenform(10)

$$q - q^{3} - q^{5} - 2q^{9} + 2q^{11} + 4q^{13} + q^{15} + 6q^{19} + O(q^{20})$$