Properties

Label 109.a
Number of curves 1
Conductor 109
CM no
Rank 0

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Show commands for: SageMath

sage: E = EllipticCurve("109.a1")
sage: E.isogeny_class()

Elliptic curves in class 109.a

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
109.a1 109a1 [1, -1, 0, -8, -7] 1 4 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 109.a1 has rank \(0\).

Modular form 109.2.a.a

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