Properties

Label 32244c
Number of curves 1
Conductor 32244
CM no
Rank 3

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Show commands for: SageMath

sage: E = EllipticCurve("32244.a1")
sage: E.isogeny_class()

Elliptic curves in class 32244c

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
32244.a1 32244c1 [0, -1, 0, -30, 81] 1 13344 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 32244c1 has rank \(3\).

Modular form None

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