Properties

Label 26171.a
Number of curves 1
Conductor 26171
CM no
Rank 3

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Show commands for: SageMath

sage: E = EllipticCurve("26171.a1")
sage: E.isogeny_class()

Elliptic curves in class 26171.a

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
26171.a1 26171a1 [0, 0, 1, -49, 132] 1 8752 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 26171.a1 has rank \(3\).

Modular form None

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