Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("61347.d1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 61347.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
61347.d1 61347t1 [0, -1, 1, -170408, -43168786] [] 1290240 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 61347.d1 has rank \(0\).

Modular form 61347.2.a.d

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