Properties

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

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

Elliptic curves in class 350658.cn

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 350658.cn1 has rank \(1\).

Complex multiplication

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

Modular form 350658.2.a.cn

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - 3q^{5} + q^{7} + q^{8} - 3q^{10} + 3q^{13} + q^{14} + q^{16} - 4q^{17} + O(q^{20})\)  Toggle raw display