# Properties

 Label 139650.gu Number of curves $1$ Conductor $139650$ CM no Rank $0$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("gu1")

sage: E.isogeny_class()

## Elliptic curves in class 139650.gu

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
139650.gu1 139650fg1 $$[1, 1, 1, -82713, -26490969]$$ $$-694769929/2954880$$ $$-266160862170000000$$ $$[]$$ $$2822400$$ $$2.0286$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 139650.gu1 has rank $$0$$.

## Complex multiplication

The elliptic curves in class 139650.gu do not have complex multiplication.

## Modular form 139650.2.a.gu

sage: E.q_eigenform(10)

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