Properties

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

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 55473c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
55473.d1 55473c1 \([0, -1, 1, -32025291, 70089731048]\) \(-270622818304/1449459\) \(-19455594341034189001059\) \([]\) \(5785920\) \(3.1214\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 55473c1 has rank \(0\).

Complex multiplication

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

Modular form 55473.2.a.c

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