# Properties

 Label 87120.ep Number of curves $1$ Conductor $87120$ CM no Rank $0$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("ep1")

sage: E.isogeny_class()

## Elliptic curves in class 87120.ep

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
87120.ep1 87120di1 $$[0, 0, 0, -35937, -2767149]$$ $$-76032/5$$ $$-337538068377840$$ $$[]$$ $$304128$$ $$1.5402$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 87120.ep1 has rank $$0$$.

## Complex multiplication

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

## Modular form 87120.2.a.ep

sage: E.q_eigenform(10)

$$q + q^{5} - 6q^{13} - 7q^{17} + 4q^{19} + O(q^{20})$$