Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("71058.o1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 71058n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
71058.o1 71058n1 [1, 0, 0, -89, 297] [] 16128 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 71058n1 has rank \(1\).

Modular form 71058.2.a.o

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