Properties

Label 59290b
Number of curves $1$
Conductor $59290$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 59290b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
59290.a1 59290b1 \([1, -1, 0, -69295, -2695379]\) \(6499899/3200\) \(18116583699491200\) \([]\) \(887040\) \(1.8128\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 59290b1 has rank \(1\).

Complex multiplication

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

Modular form 59290.2.a.b

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