Properties

Label 59290.n
Number of curves $1$
Conductor $59290$
CM no
Rank $1$

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

Elliptic curves in class 59290.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
59290.n1 59290q1 \([1, 1, 0, -334303, 74258507]\) \(-846211325047/1250\) \(-6103483058750\) \([]\) \(430080\) \(1.7227\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 59290.n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 59290.n do not have complex multiplication.

Modular form 59290.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} - q^{8} - 2 q^{9} + q^{10} - q^{12} + 3 q^{13} + q^{15} + q^{16} - 6 q^{17} + 2 q^{18} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display