# Properties

 Label 784.j Number of curves $1$ Conductor $784$ CM no Rank $0$

# Related objects

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

sage: E.isogeny_class()

## Elliptic curves in class 784.j

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
784.j1 784f1 [0, 0, 0, -7, -7] [] 48 $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 784.j1 has rank $$0$$.

## Complex multiplication

The elliptic curves in class 784.j do not have complex multiplication.

## Modular form784.2.a.j

sage: E.q_eigenform(10)

$$q + 3q^{3} + q^{5} + 6q^{9} + q^{11} - 2q^{13} + 3q^{15} - 3q^{17} + 5q^{19} + O(q^{20})$$