Properties

Label 100014e
Number of curves 1
Conductor 100014
CM no
Rank 2

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Show commands for: SageMath

sage: E = EllipticCurve("100014.f1")
sage: E.isogeny_class()

Elliptic curves in class 100014e

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
100014.f1 100014e1 [1, 0, 0, -2196, -29808] 1 148512 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 100014e1 has rank \(2\).

Modular form None

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