Properties

Label 6027.b
Number of curves 1
Conductor 6027
CM no
Rank 0

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Show commands for: SageMath

sage: E = EllipticCurve("6027.b1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 6027.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
6027.b1 6027b1 [1, 1, 1, 144108, -6237750] [] 107520 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6027.b1 has rank \(0\).

Modular form 6027.2.a.b

sage: E.q_eigenform(10)
 
\( q - q^{2} - q^{3} - q^{4} - 3q^{5} + q^{6} + 3q^{8} + q^{9} + 3q^{10} - 6q^{11} + q^{12} + 7q^{13} + 3q^{15} - q^{16} + 6q^{17} - q^{18} + 6q^{19} + O(q^{20}) \)