Properties

Label 38962.w
Number of curves $1$
Conductor $38962$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("w1")
 
E.isogeny_class()
 

Elliptic curves in class 38962.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
38962.w1 38962bf1 \([1, 1, 1, -2967, -20063]\) \(1225043/644\) \(1518518313004\) \([]\) \(67584\) \(1.0291\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 38962.w1 has rank \(0\).

Complex multiplication

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

Modular form 38962.2.a.w

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