Properties

Label 59290.es
Number of curves $1$
Conductor $59290$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("es1")
 
E.isogeny_class()
 

Elliptic curves in class 59290.es

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
59290.es1 59290eb1 \([1, -1, 1, 28533, -1733399]\) \(9261/10\) \(-2774101878984590\) \([]\) \(617760\) \(1.6499\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 59290.es1 has rank \(0\).

Complex multiplication

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

Modular form 59290.2.a.es

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