Properties

Label 409101bb
Number of curves $1$
Conductor $409101$
CM no
Rank $2$

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Show commands for: SageMath
sage: E = EllipticCurve("409101.bb1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 409101bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
409101.bb1 409101bb1 [0, 1, 1, -821, 8894] [] 141312 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 409101bb1 has rank \(2\).

Modular form 409101.2.a.bb

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