# Properties

 Label 84966dg Number of curves $1$ Conductor $84966$ CM no Rank $1$

# Related objects

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

sage: E.isogeny_class()

## Elliptic curves in class 84966dg

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
84966.de1 84966dg1 $$[1, 1, 1, 88836, -4318371]$$ $$2280364702703/1560674304$$ $$-53063801874284544$$ $$[]$$ $$1175040$$ $$1.8978$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 84966dg1 has rank $$1$$.

## Complex multiplication

The elliptic curves in class 84966dg do not have complex multiplication.

## Modular form 84966.2.a.dg

sage: E.q_eigenform(10)

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