Properties

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

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 350658.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
350658.n1 350658n1 \([1, -1, 0, -1564008, -476444864]\) \(73103056140411/25333661696\) \(146623375065252298752\) \([]\) \(12165120\) \(2.5712\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 350658.n1 has rank \(1\).

Complex multiplication

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

Modular form 350658.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 2 q^{5} - q^{7} - q^{8} + 2 q^{10} + 4 q^{13} + q^{14} + q^{16} + 2 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display