# Properties

 Label 280.b Number of curves $1$ Conductor $280$ CM no Rank $1$

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("b1")

sage: E.isogeny_class()

## Elliptic curves in class 280.b

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
280.b1 280a1 [0, -1, 0, -1, 5] [] 16 $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 280.b1 has rank $$1$$.

## Complex multiplication

The elliptic curves in class 280.b do not have complex multiplication.

## Modular form280.2.a.b

sage: E.q_eigenform(10)

$$q - q^{3} - q^{5} - q^{7} - 2q^{9} - 5q^{11} + q^{13} + q^{15} + 3q^{17} - 6q^{19} + O(q^{20})$$