Properties

Label 106.b
Number of curves 1
Conductor 106
CM no
Rank 0

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Show commands for: SageMath

sage: E = EllipticCurve("106.b1")
sage: E.isogeny_class()

Elliptic curves in class 106.b

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
106.b1 106d1 [1, 1, 0, -27, -67] 1 10 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 106.b1 has rank \(0\).

Modular form 106.2.a.b

sage: E.q_eigenform(10)
\( q - q^{2} + 2q^{3} + q^{4} + q^{5} - 2q^{6} - 2q^{7} - q^{8} + q^{9} - q^{10} + 5q^{11} + 2q^{12} - 4q^{13} + 2q^{14} + 2q^{15} + q^{16} + 3q^{17} - q^{18} - 4q^{19} + O(q^{20}) \)