Properties

Label 26198.a
Number of curves 1
Conductor 26198
CM no
Rank 3

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Show commands for: SageMath

sage: E = EllipticCurve("26198.a1")
sage: E.isogeny_class()

Elliptic curves in class 26198.a

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
26198.a1 26198a1 [1, -1, 0, -16, 16] 1 12704 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 26198.a1 has rank \(3\).

Modular form None

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