Properties

Label 100011b
Number of curves 1
Conductor 100011
CM no
Rank 1

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Show commands for: SageMath

sage: E = EllipticCurve("100011.b1")
sage: E.isogeny_class()

Elliptic curves in class 100011b

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
100011.b1 100011b1 [1, 1, 1, 39, -2310] 1 41040 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 100011b1 has rank \(1\).

Modular form 100011.2.a.b

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