Properties

Label 71058.c
Number of curves 1
Conductor 71058
CM no
Rank 0

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Show commands for: SageMath
sage: E = EllipticCurve("71058.c1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 71058.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
71058.c1 71058a1 [1, 1, 0, -16361, -812283] [] 185920 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 71058.c1 has rank \(0\).

Modular form 71058.2.a.c

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