Properties

Label 21858a
Number of curves 1
Conductor 21858
CM no
Rank 3

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Show commands for: SageMath

sage: E = EllipticCurve("21858.a1")
sage: E.isogeny_class()

Elliptic curves in class 21858a

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
21858.a1 21858a1 [1, 1, 0, -32, 60] 1 9984 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 21858a1 has rank \(3\).

Modular form None

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