Properties

Label 5550q
Number of curves $1$
Conductor $5550$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 5550q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5550.n1 5550q1 \([1, 0, 1, 424, 21548]\) \(541343375/13108878\) \(-204826218750\) \([]\) \(6336\) \(0.85065\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5550q1 has rank \(1\).

Complex multiplication

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

Modular form 5550.2.a.q

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{6} - 3 q^{7} - q^{8} + q^{9} + q^{11} + q^{12} - q^{13} + 3 q^{14} + q^{16} + 3 q^{17} - q^{18} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display