Properties

Label 20181j
Number of curves $1$
Conductor $20181$
CM no
Rank $1$

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

Elliptic curves in class 20181j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20181.l1 20181j1 \([0, 1, 1, 21, -1132]\) \(1015808/583443\) \(-560688723\) \([]\) \(7200\) \(0.35778\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20181j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 20181j do not have complex multiplication.

Modular form 20181.2.a.j

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