Properties

Label 155526.b
Number of curves $1$
Conductor $155526$
CM no
Rank $1$

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

Elliptic curves in class 155526.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
155526.b1 155526cs1 \([1, 1, 0, -43124, 3986256]\) \(-174676879/35328\) \(-1793825477101056\) \([]\) \(1520640\) \(1.6494\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 155526.b1 has rank \(1\).

Complex multiplication

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

Modular form 155526.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - 3 q^{5} + q^{6} - q^{8} + q^{9} + 3 q^{10} - 2 q^{11} - q^{12} - 7 q^{13} + 3 q^{15} + q^{16} - 4 q^{17} - q^{18} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display