# Properties

 Label 87120.bw Number of curves $1$ Conductor $87120$ CM no Rank $1$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("bw1")

sage: E.isogeny_class()

## Elliptic curves in class 87120.bw

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
87120.bw1 87120y1 $$[0, 0, 0, 132, -1892]$$ $$11264/75$$ $$-1693612800$$ $$[]$$ $$30720$$ $$0.45257$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 87120.bw1 has rank $$1$$.

## Complex multiplication

The elliptic curves in class 87120.bw do not have complex multiplication.

## Modular form 87120.2.a.bw

sage: E.q_eigenform(10)

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