# Properties

 Label 15680cv Number of curves $1$ Conductor $15680$ CM no Rank $1$

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("cv1")

sage: E.isogeny_class()

## Elliptic curves in class 15680cv

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
15680.d1 15680cv1 [0, 0, 0, -28, -98] [] 3840 $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 15680cv1 has rank $$1$$.

## Complex multiplication

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

## Modular form 15680.2.a.cv

sage: E.q_eigenform(10)

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