Properties

Label 6026.d
Number of curves 1
Conductor 6026
CM no
Rank 1

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Show commands for: SageMath

sage: E = EllipticCurve("6026.d1")
sage: E.isogeny_class()

Elliptic curves in class 6026.d

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
6026.d1 6026c1 [1, 1, 1, -7811, -106655] 1 15840 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 6026.d1 has rank \(1\).

Modular form 6026.2.a.d

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