Properties

Label 22481a
Number of curves 1
Conductor 22481
CM no
Rank 3

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Show commands for: SageMath

sage: E = EllipticCurve("22481.b1")
sage: E.isogeny_class()

Elliptic curves in class 22481a

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
22481.b1 22481a1 [1, -1, 1, 6, 2] 1 2152 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 22481a1 has rank \(3\).

Modular form None

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