Properties

Label 2093j
Number of curves $1$
Conductor $2093$
CM no
Rank $0$

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

Elliptic curves in class 2093j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2093.j1 2093j1 \([0, -1, 1, -182, -881]\) \(670381355008/5025293\) \(5025293\) \([]\) \(760\) \(0.11601\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2093j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 2093j do not have complex multiplication.

Modular form 2093.2.a.j

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + 2 q^{3} + 2 q^{4} + 2 q^{5} + 4 q^{6} + q^{7} + q^{9} + 4 q^{10} + 3 q^{11} + 4 q^{12} + q^{13} + 2 q^{14} + 4 q^{15} - 4 q^{16} + q^{17} + 2 q^{18} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display