Properties

Label 86394.j
Number of curves $1$
Conductor $86394$
CM no
Rank $0$

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

Elliptic curves in class 86394.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
86394.j1 86394a1 \([1, 1, 0, -98133, -9042579]\) \(487567078009/118855296\) \(25477688251483776\) \([]\) \(665280\) \(1.8588\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 86394.j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 86394.j do not have complex multiplication.

Modular form 86394.2.a.j

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