Properties

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

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 59290r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
59290.m1 59290r1 \([1, 1, 0, -236270773, 1398103640333]\) \(-57839429434456681/16470860000\) \(-415380397040837491340000\) \([]\) \(14192640\) \(3.5126\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 59290r1 has rank \(1\).

Complex multiplication

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

Modular form 59290.2.a.r

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