Properties

Label 1638.j
Number of curves $1$
Conductor $1638$
CM no
Rank $0$

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

Elliptic curves in class 1638.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1638.j1 1638g1 \([1, -1, 0, 30, 98]\) \(4019679/8918\) \(-6501222\) \([]\) \(504\) \(-0.0085509\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1638.j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 1638.j do not have complex multiplication.

Modular form 1638.2.a.j

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