Properties

Label 53550.ea
Number of curves $1$
Conductor $53550$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ea1")
 
E.isogeny_class()
 

Elliptic curves in class 53550.ea

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
53550.ea1 53550du1 \([1, -1, 1, -495905, 137866097]\) \(-1184052061112257/34349180544\) \(-391258634634000000\) \([]\) \(725760\) \(2.1549\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 53550.ea1 has rank \(0\).

Complex multiplication

The elliptic curves in class 53550.ea do not have complex multiplication.

Modular form 53550.2.a.ea

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