Properties

Label 92.a
Number of curves 1
Conductor 92
CM no
Rank 1

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Show commands for: SageMath

sage: E = EllipticCurve("92.a1")
sage: E.isogeny_class()

Elliptic curves in class 92.a

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
92.a1 92b1 [0, 0, 0, -1, 1] 1 6 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 92.a1 has rank \(1\).

Modular form 92.2.a.a

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