Properties

Label 100014.b
Number of curves 1
Conductor 100014
CM no
Rank 2

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Show commands for: SageMath

sage: E = EllipticCurve("100014.b1")
sage: E.isogeny_class()

Elliptic curves in class 100014.b

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
100014.b1 100014b1 [1, 1, 1, -107, 377] 1 25760 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 100014.b1 has rank \(2\).

Modular form 100014.2.a.b

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