Properties

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

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 5550j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5550.e1 5550j1 \([1, 1, 0, -6450, -103500]\) \(75988526665/32735232\) \(12787200000000\) \([]\) \(10800\) \(1.2113\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5550j1 has rank \(1\).

Complex multiplication

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

Modular form 5550.2.a.j

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