Properties

Label 71058b
Number of curves 1
Conductor 71058
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("71058.b1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 71058b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
71058.b1 71058b1 [1, 1, 0, -32, 48] [] 8960 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 71058b1 has rank \(1\).

Modular form 71058.2.a.b

sage: E.q_eigenform(10)
 
\( q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} + q^{7} - q^{8} + q^{9} - q^{10} + 2q^{11} - q^{12} + q^{13} - q^{14} - q^{15} + q^{16} + 3q^{17} - q^{18} - 4q^{19} + O(q^{20}) \)