Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("71058.k1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 71058m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
71058.k1 71058m1 [1, 0, 0, -26, -156] [] 15744 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 71058m1 has rank \(1\).

Modular form 71058.2.a.k

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