Properties

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

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 38962.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
38962.l1 38962k1 \([1, -1, 0, -4033013, -3116394187]\) \(-33843179482786377/26543104\) \(-5689750071706624\) \([]\) \(823680\) \(2.3299\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 38962.l1 has rank \(1\).

Complex multiplication

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

Modular form 38962.2.a.l

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