# Properties

 Label 22218bj Number of curves $1$ Conductor $22218$ CM no Rank $1$

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("bj1")

sage: E.isogeny_class()

## Elliptic curves in class 22218bj

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22218.bd1 22218bj1 $$[1, 0, 0, 4811773, -2725907391]$$ $$83228502970940543/69854999176704$$ $$-10341046904217644729856$$ $$[]$$ $$2090880$$ $$2.9119$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 22218bj1 has rank $$1$$.

## Complex multiplication

The elliptic curves in class 22218bj do not have complex multiplication.

## Modular form 22218.2.a.bj

sage: E.q_eigenform(10)

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