Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("61347.bd1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 61347.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
61347.bd1 61347bc1 [0, 1, 1, -200152, 34406389] [] 564480 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

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

Modular form 61347.2.a.bd

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