# Properties

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

# Related objects

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

sage: E.isogeny_class()

## Elliptic curves in class 15680.cq

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15680.cq1 15680do1 $$[0, 1, 0, -485, -4285]$$ $$-2249728/5$$ $$-28098560$$ $$[]$$ $$6144$$ $$0.31202$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 15680.cq1 has rank $$0$$.

## Complex multiplication

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

## Modular form 15680.2.a.cq

sage: E.q_eigenform(10)

$$q + q^{3} + q^{5} - 2q^{9} - 5q^{11} - 7q^{13} + q^{15} - 3q^{17} - 2q^{19} + O(q^{20})$$