Properties

Label 54150.x
Number of curves $1$
Conductor $54150$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("x1")
 
E.isogeny_class()
 

Elliptic curves in class 54150.x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54150.x1 54150ba1 \([1, 0, 1, -331, 2768]\) \(-442458985/118098\) \(-1065834450\) \([]\) \(34560\) \(0.44875\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54150.x1 has rank \(1\).

Complex multiplication

The elliptic curves in class 54150.x do not have complex multiplication.

Modular form 54150.2.a.x

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