# Properties

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

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("cp1")

sage: E.isogeny_class()

## Elliptic curves in class 87120.cp

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
87120.cp1 87120ek1 $$[0, 0, 0, -43923, -11449262]$$ $$-14641/80$$ $$-51205775113912320$$ $$[]$$ $$760320$$ $$1.8903$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 87120.cp1 has rank $$0$$.

## Complex multiplication

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

## Modular form 87120.2.a.cp

sage: E.q_eigenform(10)

$$q - q^{5} + 3q^{7} - 8q^{17} - 8q^{19} + O(q^{20})$$