# Properties

 Label 327990.bm Number of curves $1$ Conductor $327990$ CM no Rank $0$

# Related objects

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

sage: E.isogeny_class()

## Elliptic curves in class 327990.bm

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
327990.bm1 327990bm1 $$[1, 0, 0, -18775496161, -753241578520759]$$ $$1739874810731935427689/424271925913680000$$ $$178494268118092166078652649680000$$ $$[]$$ $$1114713600$$ $$4.8992$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 327990.bm1 has rank $$0$$.

## Complex multiplication

The elliptic curves in class 327990.bm do not have complex multiplication.

## Modular form 327990.2.a.bm

sage: E.q_eigenform(10)

$$q + q^{2} + q^{3} + q^{4} - q^{5} + q^{6} + q^{7} + q^{8} + q^{9} - q^{10} + 2q^{11} + q^{12} + q^{13} + q^{14} - q^{15} + q^{16} - 3q^{17} + q^{18} + 2q^{19} + O(q^{20})$$