Properties

Label 55473e
Number of curves $1$
Conductor $55473$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 55473e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
55473.l1 55473e1 \([1, 1, 0, -1777, -29588]\) \(-9011897441/891\) \(-61408611\) \([]\) \(19200\) \(0.52929\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 55473e1 has rank \(0\).

Complex multiplication

The elliptic curves in class 55473e do not have complex multiplication.

Modular form 55473.2.a.e

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} - q^{4} + q^{5} - q^{6} - q^{7} - 3 q^{8} + q^{9} + q^{10} + q^{11} + q^{12} + 2 q^{13} - q^{14} - q^{15} - q^{16} + 3 q^{17} + q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display