# Properties

 Label 60984bm Number of curves $1$ Conductor $60984$ CM no Rank $1$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("bm1")

sage: E.isogeny_class()

## Elliptic curves in class 60984bm

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
60984.u1 60984bm1 $$[0, 0, 0, 885357, 1145779371]$$ $$137566156032/1096135733$$ $$-611549649581401271664$$ $$[]$$ $$1935360$$ $$2.6700$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 60984bm1 has rank $$1$$.

## Complex multiplication

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

## Modular form 60984.2.a.bm

sage: E.q_eigenform(10)

$$q - q^{5} - q^{7} - 3q^{13} + 2q^{17} + 5q^{19} + O(q^{20})$$