Properties

Label 4010.b
Number of curves 1
Conductor 4010
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("4010.b1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 4010.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
4010.b1 4010a1 [1, 1, 0, -28, -72] [] 528 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4010.b1 has rank \(1\).

Modular form 4010.2.a.b

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