Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("61347.p1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 61347.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
61347.p1 61347g1 [0, -1, 1, -66609209, -209220120484] [] 5225472 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 61347.p1 has rank \(0\).

Modular form 61347.2.a.p

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