Properties

Label 61347h
Number of curves 1
Conductor 61347
CM no
Rank 0

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Show commands for: SageMath
sage: E = EllipticCurve("61347.k1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 61347h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
61347.k1 61347h1 [0, -1, 1, -8059714329, 278504219221139] [] 57480192 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 61347h1 has rank \(0\).

Modular form 61347.2.a.k

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