# Properties

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

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("ee1")

sage: E.isogeny_class()

## Elliptic curves in class 84966ee

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
84966.dq1 84966ee1 $$[1, 0, 0, 25673598, -21395871036]$$ $$2280364702703/1560674304$$ $$-1280831179142872506433536$$ $$[]$$ $$19975680$$ $$3.3144$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 84966ee1 has rank $$1$$.

## Complex multiplication

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

## Modular form 84966.2.a.ee

sage: E.q_eigenform(10)

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