Properties

Label 409101.bk
Number of curves $1$
Conductor $409101$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("409101.bk1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 409101.bk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
409101.bk1 409101bk1 [1, 1, 0, -4358, -141819] [] 806400 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 409101.bk1 has rank \(0\).

Modular form 409101.2.a.bk

sage: E.q_eigenform(10)
 
\( q + q^{2} - q^{3} - q^{4} - q^{5} - q^{6} - 3q^{8} + q^{9} - q^{10} + q^{12} + 7q^{13} + q^{15} - q^{16} - 3q^{17} + q^{18} - 8q^{19} + O(q^{20}) \)