# Properties

 Label 115920cu Number of curves $1$ Conductor $115920$ CM no Rank $1$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("cu1")

sage: E.isogeny_class()

## Elliptic curves in class 115920cu

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
115920.o1 115920cu1 $$[0, 0, 0, -10128, -392852]$$ $$-615640662016/978075$$ $$-182532268800$$ $$[]$$ $$168960$$ $$1.0588$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 115920cu1 has rank $$1$$.

## Complex multiplication

The elliptic curves in class 115920cu do not have complex multiplication.

## Modular form 115920.2.a.cu

sage: E.q_eigenform(10)

$$q - q^{5} - q^{7} - q^{11} + 4q^{13} - 6q^{17} - 7q^{19} + O(q^{20})$$