# Properties

 Label 2240j Number of curves $1$ Conductor $2240$ CM no Rank $0$

# Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("j1")

sage: E.isogeny_class()

## Elliptic curves in class 2240j

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
2240.c1 2240j1 [0, 0, 0, 128, 1696] [] 1920 $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 2240j1 has rank $$0$$.

## Complex multiplication

The elliptic curves in class 2240j do not have complex multiplication.

## Modular form2240.2.a.j

sage: E.q_eigenform(10)

$$q - 3q^{3} + q^{5} - q^{7} + 6q^{9} + 5q^{11} + 3q^{13} - 3q^{15} - q^{17} - 6q^{19} + O(q^{20})$$