# Properties

 Label 179.a Number of curves 1 Conductor 179 CM no Rank 0

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("179.a1")

sage: E.isogeny_class()

## Elliptic curves in class 179.a

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
179.a1 179a1 [0, 0, 1, -1, -1] [] 9 $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 179.a1 has rank $$0$$.

## Modular form179.2.a.a

sage: E.q_eigenform(10)

$$q + 2q^{2} + 2q^{4} + 3q^{5} - 4q^{7} - 3q^{9} + 6q^{10} + 4q^{11} - q^{13} - 8q^{14} - 4q^{16} + q^{17} - 6q^{18} - 3q^{19} + O(q^{20})$$