Properties

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

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 55473.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
55473.q1 55473m1 \([1, 0, 1, -19367, 355129553]\) \(-169112377/11469763899\) \(-54482574139908595659\) \([]\) \(1209600\) \(2.4659\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 55473.q1 has rank \(0\).

Complex multiplication

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

Modular form 55473.2.a.q

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