Properties

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

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 55473.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
55473.p1 55473j1 \([1, 0, 1, -2988013, -1988443321]\) \(-9011897441/891\) \(-291697303545019251\) \([]\) \(787200\) \(2.3861\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 55473.p1 has rank \(0\).

Complex multiplication

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

Modular form 55473.2.a.p

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