Properties

Label 143.a
Number of curves 1
Conductor 143
CM no
Rank 1

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Show commands for: SageMath

sage: E = EllipticCurve("143.a1")
sage: E.isogeny_class()

Elliptic curves in class 143.a

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
143.a1 143a1 [0, -1, 1, -1, -2] 1 4 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 143.a1 has rank \(1\).

Modular form 143.2.a.a

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