Properties

Label 20230.j
Number of curves $1$
Conductor $20230$
CM no
Rank $1$

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

Elliptic curves in class 20230.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20230.j1 20230i1 \([1, 0, 1, -456193, 106503556]\) \(1505139743881/168070000\) \(1172415553108870000\) \([]\) \(391680\) \(2.2001\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20230.j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 20230.j do not have complex multiplication.

Modular form 20230.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} + q^{5} - q^{6} - q^{7} - q^{8} - 2 q^{9} - q^{10} + 2 q^{11} + q^{12} - 6 q^{13} + q^{14} + q^{15} + q^{16} + 2 q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display