Properties

Label 55473s
Number of curves $1$
Conductor $55473$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 55473s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
55473.h1 55473s1 \([0, 1, 1, -1913, 31577]\) \(-460816384000/29403\) \(-49426443\) \([]\) \(33600\) \(0.53430\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 55473s1 has rank \(1\).

Complex multiplication

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

Modular form 55473.2.a.s

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