Properties

Label 79a
Number of curves 1
Conductor 79
CM no
Rank 1

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Show commands for: SageMath

sage: E = EllipticCurve("79.a1")
sage: E.isogeny_class()

Elliptic curves in class 79a

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
79.a1 79a1 [1, 1, 1, -2, 0] 1 2 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 79a1 has rank \(1\).

Modular form 79.2.a.a

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