# Properties

 Label 1110.j Number of curves $1$ Conductor $1110$ CM no Rank $1$

# Related objects

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

sage: E.isogeny_class()

## Elliptic curves in class 1110.j

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1110.j1 1110j1 $$[1, 1, 1, -130, 527]$$ $$-243087455521/5328000$$ $$-5328000$$ $$[]$$ $$336$$ $$0.079896$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 1110.j1 has rank $$1$$.

## Complex multiplication

The elliptic curves in class 1110.j do not have complex multiplication.

## Modular form1110.2.a.j

sage: E.q_eigenform(10)

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