Properties

Label 27262.a
Number of curves 1
Conductor 27262
CM no
Rank 3

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Show commands for: SageMath

sage: E = EllipticCurve("27262.a1")
sage: E.isogeny_class()

Elliptic curves in class 27262.a

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
27262.a1 27262c1 [1, -1, 1, -237, 1365] 1 65312 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 27262.a1 has rank \(3\).

Modular form None

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