Properties

Label 38646j
Number of curves $1$
Conductor $38646$
CM no
Rank $0$

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

Elliptic curves in class 38646j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
38646.i1 38646j1 \([1, -1, 0, -783, 6637]\) \(72877493233/17588224\) \(12821815296\) \([]\) \(37440\) \(0.65055\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 38646j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 38646j do not have complex multiplication.

Modular form 38646.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + 3 q^{5} - 4 q^{7} - q^{8} - 3 q^{10} - 3 q^{11} + 5 q^{13} + 4 q^{14} + q^{16} - 4 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display