# Properties

 Label 60984.o Number of curves $1$ Conductor $60984$ CM no Rank $1$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("o1")

sage: E.isogeny_class()

## Elliptic curves in class 60984.o

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
60984.o1 60984ci1 $$[0, 0, 0, 51909, -10922186]$$ $$48334/189$$ $$-60486821853308928$$ $$[]$$ $$557568$$ $$1.9028$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 60984.o1 has rank $$1$$.

## Complex multiplication

The elliptic curves in class 60984.o do not have complex multiplication.

## Modular form 60984.2.a.o

sage: E.q_eigenform(10)

$$q - 2q^{5} + q^{7} - 5q^{13} - 6q^{17} + 8q^{19} + O(q^{20})$$