Properties

Label 6008.a
Number of curves 1
Conductor 6008
CM no
Rank 2

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Show commands for: SageMath
sage: E = EllipticCurve("6008.a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 6008.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
6008.a1 6008a1 [0, 0, 0, -11, 15] [] 416 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6008.a1 has rank \(2\).

Modular form 6008.2.a.a

sage: E.q_eigenform(10)
 
\( q - 2q^{5} - 4q^{7} - 3q^{9} - q^{13} - 6q^{17} + 3q^{19} + O(q^{20}) \)