Properties

Label 27808a
Number of curves 1
Conductor 27808
CM no
Rank 3

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Show commands for: SageMath

sage: E = EllipticCurve("27808.a1")
sage: E.isogeny_class()

Elliptic curves in class 27808a

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
27808.a1 27808a1 [0, 0, 0, -364, 2656] 1 34560 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 27808a1 has rank \(3\).

Modular form None

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