# Properties

 Label 350658cn Number of curves $1$ Conductor $350658$ CM no Rank $1$

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("cn1")

sage: E.isogeny_class()

## Elliptic curves in class 350658cn

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
350658.cn1 350658cn1 $$[1, -1, 1, 9905521, 8050070999]$$ $$83228502970940543/69854999176704$$ $$-90215493911234586994176$$ $$[]$$ $$40550400$$ $$3.0924$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 350658cn1 has rank $$1$$.

## Complex multiplication

The elliptic curves in class 350658cn do not have complex multiplication.

## Modular form 350658.2.a.cn

sage: E.q_eigenform(10)

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