Properties

Label 54390j
Number of curves $1$
Conductor $54390$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 54390j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54390.o1 54390j1 \([1, 1, 0, 4238, 137236]\) \(1459694999/2220000\) \(-12797858220000\) \([]\) \(127680\) \(1.2004\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54390j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 54390j do not have complex multiplication.

Modular form 54390.2.a.j

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