Properties

Label 61347.z
Number of curves 1
Conductor 61347
CM no
Rank 0

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Show commands for: SageMath
sage: E = EllipticCurve("61347.z1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 61347.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
61347.z1 61347q1 [0, -1, 1, 74980, -1514173] [] 912384 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 61347.z1 has rank \(0\).

Modular form 61347.2.a.z

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