Properties

Label 158.c
Number of curves $1$
Conductor $158$
CM no
Rank $1$

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

Elliptic curves in class 158.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
158.c1 158a1 [1, -1, 1, -9, 9] [] 32 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 158.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 158.c do not have complex multiplication.

Modular form 158.2.a.c

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