# Properties

 Label 259182.dl Number of curves $1$ Conductor $259182$ CM no Rank $1$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("dl1")

sage: E.isogeny_class()

## Elliptic curves in class 259182.dl

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
259182.dl1 259182dl1 $$[1, -1, 1, 1066, -44481]$$ $$103823/714$$ $$-922108129866$$ $$[]$$ $$457600$$ $$0.97750$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 259182.dl1 has rank $$1$$.

## Complex multiplication

The elliptic curves in class 259182.dl do not have complex multiplication.

## Modular form 259182.2.a.dl

sage: E.q_eigenform(10)

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