Properties

Label 100007a
Number of curves 1
Conductor 100007
CM no
Rank 0

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Show commands for: SageMath

sage: E = EllipticCurve("100007.a1")
sage: E.isogeny_class()

Elliptic curves in class 100007a

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
100007.a1 100007a1 [1, -1, 0, -121, 544] 1 34592 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 100007a1 has rank \(0\).

Modular form None

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