Properties

Label 5550.bb
Number of curves $1$
Conductor $5550$
CM no
Rank $1$

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

Elliptic curves in class 5550.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5550.bb1 5550ba1 \([1, 1, 1, -13, 11]\) \(9765625/888\) \(22200\) \([]\) \(432\) \(-0.42672\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5550.bb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 5550.bb do not have complex multiplication.

Modular form 5550.2.a.bb

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{6} + 2 q^{7} + q^{8} + q^{9} - 2 q^{11} - q^{12} - 5 q^{13} + 2 q^{14} + q^{16} + 5 q^{17} + q^{18} + O(q^{20})\) Copy content Toggle raw display