Properties

Label 38962a
Number of curves $1$
Conductor $38962$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 38962a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
38962.e1 38962a1 \([1, 1, 0, -24, 4]\) \(1225043/644\) \(857164\) \([]\) \(6144\) \(-0.16989\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 38962a1 has rank \(2\).

Complex multiplication

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

Modular form 38962.2.a.a

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