# Properties

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

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("dx1")

sage: E.isogeny_class()

## Elliptic curves in class 15680dx

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
15680.i1 15680dx1 [0, 0, 0, 98, -686] [] 9216 $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 15680dx1 has rank $$0$$.

## Complex multiplication

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

## Modular form 15680.2.a.dx

sage: E.q_eigenform(10)

$$q - 3q^{3} + q^{5} + 6q^{9} + 3q^{11} + q^{13} - 3q^{15} + q^{17} + 4q^{19} + O(q^{20})$$