# Properties

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

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("cu1")

sage: E.isogeny_class()

## Elliptic curves in class 15680.cu

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15680.cu1 15680be1 $$[0, 1, 0, 7775, -1629377]$$ $$137564/3125$$ $$-1180631244800000$$ $$[]$$ $$53760$$ $$1.5723$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 15680.cu1 has rank $$0$$.

## Complex multiplication

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

## Modular form 15680.2.a.cu

sage: E.q_eigenform(10)

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