Properties

Label 77a
Number of curves 1
Conductor 77
CM no
Rank 1

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Show commands for: SageMath

sage: E = EllipticCurve("77.a1")
sage: E.isogeny_class()

Elliptic curves in class 77a

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
77.a1 77a1 [0, 0, 1, 2, 0] 1 4 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 77a1 has rank \(1\).

Modular form 77.2.a.a

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