Properties

Label 11550r
Number of curves $1$
Conductor $11550$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 11550r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11550.n1 11550r1 \([1, 1, 0, -51425, -4510275]\) \(-24064663400038825/1200348072\) \(-750217545000\) \([]\) \(41184\) \(1.3497\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11550r1 has rank \(0\).

Complex multiplication

The elliptic curves in class 11550r do not have complex multiplication.

Modular form 11550.2.a.r

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