Properties

Label 155526bu
Number of curves $1$
Conductor $155526$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("bu1")
 
E.isogeny_class()
 

Elliptic curves in class 155526bu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
155526.t1 155526bu1 \([1, 0, 1, -534175, 150225422]\) \(270850291507273/551124\) \(34299930174804\) \([]\) \(1824768\) \(1.8478\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 155526bu1 has rank \(2\).

Complex multiplication

The elliptic curves in class 155526bu do not have complex multiplication.

Modular form 155526.2.a.bu

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - 3 q^{5} - q^{6} - q^{8} + q^{9} + 3 q^{10} - 4 q^{11} + q^{12} - 3 q^{15} + q^{16} + 3 q^{17} - q^{18} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display