# Properties

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

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("ji1")

sage: E.isogeny_class()

## Elliptic curves in class 139650.ji

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
139650.ji1 139650cn1 $$[1, 0, 0, -638, 116892]$$ $$-60025/12312$$ $$-5891484375000$$ $$[]$$ $$311040$$ $$1.1297$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 139650.ji1 has rank $$0$$.

## Complex multiplication

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

## Modular form 139650.2.a.ji

sage: E.q_eigenform(10)

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