Properties

Label 61347bd
Number of curves 1
Conductor 61347
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("61347.e1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 61347bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
61347.e1 61347bd1 [0, 1, 1, -24218432, -45891777772] [] 6209280 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 61347bd1 has rank \(1\).

Modular form 61347.2.a.e

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