Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("409101.b1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 409101.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
409101.b1 409101b1 [0, -1, 1, 9882, 296834] [] 1372800 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 409101.b1 has rank \(0\).

Modular form 409101.2.a.b

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