# Properties

 Label 254898.dg Number of curves $1$ Conductor $254898$ CM no Rank $0$

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("dg1")

sage: E.isogeny_class()

## Elliptic curves in class 254898.dg

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
254898.dg1 254898dg1 $$[1, -1, 0, 231062382, 577688517972]$$ $$2280364702703/1560674304$$ $$-933725929595154057190047744$$ $$[]$$ $$159805440$$ $$3.8637$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 254898.dg1 has rank $$0$$.

## Complex multiplication

The elliptic curves in class 254898.dg do not have complex multiplication.

## Modular form 254898.2.a.dg

sage: E.q_eigenform(10)

$$q - q^{2} + q^{4} + 3q^{5} - q^{8} - 3q^{10} - 5q^{11} + q^{16} - 6q^{19} + O(q^{20})$$