Properties

Label 88.a
Number of curves 1
Conductor 88
CM no
Rank 1

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Show commands for: SageMath

sage: E = EllipticCurve("88.a1")
sage: E.isogeny_class()

Elliptic curves in class 88.a

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
88.a1 88a1 [0, 0, 0, -4, 4] 1 8 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 88.a1 has rank \(1\).

Modular form 88.2.a.a

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