Properties

Label 5550.bo
Number of curves $1$
Conductor $5550$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("bo1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 5550.bo

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5550.bo1 5550bn1 \([1, 0, 0, -145763, -21445983]\) \(-175362106452317/131292576\) \(-256430812500000\) \([]\) \(28800\) \(1.6981\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5550.bo1 has rank \(0\).

Complex multiplication

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

Modular form 5550.2.a.bo

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