Properties

Label 38962u
Number of curves $1$
Conductor $38962$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 38962u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
38962.v1 38962u1 \([1, 1, 1, -5992, -164295]\) \(13430356633/1388464\) \(2459748672304\) \([]\) \(69120\) \(1.1129\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 38962u1 has rank \(1\).

Complex multiplication

The elliptic curves in class 38962u do not have complex multiplication.

Modular form 38962.2.a.u

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - 3 q^{5} - q^{6} - q^{7} + q^{8} - 2 q^{9} - 3 q^{10} - q^{12} + 3 q^{13} - q^{14} + 3 q^{15} + q^{16} - 4 q^{17} - 2 q^{18} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display