Properties

Label 61347u
Number of curves 1
Conductor 61347
CM no
Rank 2

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Show commands for: SageMath
sage: E = EllipticCurve("61347.a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 61347u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
61347.a1 61347u1 [0, -1, 1, 620, 912] [] 82944 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 61347u1 has rank \(2\).

Modular form 61347.2.a.a

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