Properties

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

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

Elliptic curves in class 54150.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54150.s1 54150bg1 \([1, 0, 1, -67876, -8644702]\) \(-3258025/1152\) \(-12228165389520000\) \([]\) \(459648\) \(1.7979\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54150.s1 has rank \(1\).

Complex multiplication

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

Modular form 54150.2.a.s

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