Properties

Label 179.a
Number of curves 1
Conductor 179
CM no
Rank 0

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Show commands for: SageMath
sage: E = EllipticCurve("179.a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 179.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
179.a1 179a1 [0, 0, 1, -1, -1] [] 9 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 179.a1 has rank \(0\).

Modular form 179.2.a.a

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