Properties

Label 100010g
Number of curves 1
Conductor 100010
CM no
Rank 1

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Show commands for: SageMath

sage: E = EllipticCurve("100010.k1")
sage: E.isogeny_class()

Elliptic curves in class 100010g

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
100010.k1 100010g1 [1, -1, 1, -62577, 6040609] 1 980832 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 100010g1 has rank \(1\).

Modular form None

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