Properties

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

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Show commands: SageMath
E = EllipticCurve("ba1")
 
E.isogeny_class()
 

Elliptic curves in class 59290.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
59290.ba1 59290j1 \([1, -1, 0, -22569850, -41265126204]\) \(-20998480041/80\) \(-4844086262866909520\) \([]\) \(2882880\) \(2.7996\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 59290.ba1 has rank \(1\).

Complex multiplication

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

Modular form 59290.2.a.ba

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