Properties

Label 100014d
Number of curves 1
Conductor 100014
CM no
Rank 1

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Show commands for: SageMath

sage: E = EllipticCurve("100014.d1")
sage: E.isogeny_class()

Elliptic curves in class 100014d

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
100014.d1 100014d1 [1, 1, 1, -224, 1361] 1 49728 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 100014d1 has rank \(1\).

Modular form None

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