# Properties

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

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("em1")

sage: E.isogeny_class()

## Elliptic curves in class 87120.em

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
87120.em1 87120k1 $$[0, 0, 0, -235587, -44010846]$$ $$121995126/5$$ $$59265943418880$$ $$[]$$ $$337920$$ $$1.7244$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 87120.em1 has rank $$1$$.

## Complex multiplication

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

## Modular form 87120.2.a.em

sage: E.q_eigenform(10)

$$q + q^{5} - q^{7} - q^{13} + q^{17} + 3q^{19} + O(q^{20})$$