# Properties

 Label 60984.w Number of curves $1$ Conductor $60984$ CM no Rank $0$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("w1")

sage: E.isogeny_class()

## Elliptic curves in class 60984.w

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
60984.w1 60984n1 $$[0, 0, 0, -283503, -62970941]$$ $$-91625216/9261$$ $$-254706226397918064$$ $$[]$$ $$608256$$ $$2.0799$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 60984.w1 has rank $$0$$.

## Complex multiplication

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

## Modular form 60984.2.a.w

sage: E.q_eigenform(10)

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