Properties

Label 56550.q
Number of curves $1$
Conductor $56550$
CM no
Rank $0$

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

Elliptic curves in class 56550.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
56550.q1 56550s1 \([1, 0, 1, -281, -1252]\) \(97651532785/30437472\) \(760936800\) \([]\) \(30240\) \(0.40851\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 56550.q1 has rank \(0\).

Complex multiplication

The elliptic curves in class 56550.q do not have complex multiplication.

Modular form 56550.2.a.q

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