Properties

Label 9450.be
Number of curves 1
Conductor 9450
CM no
Rank 1

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Show commands for: SageMath

sage: E = EllipticCurve("9450.be1")
sage: E.isogeny_class()

Elliptic curves in class 9450.be

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
9450.be1 9450y1 [1, -1, 0, -56742, 5269166] 1 56160 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 9450.be1 has rank \(1\).

Modular form 9450.2.a.be

sage: E.q_eigenform(10)
\( q - q^{2} + q^{4} + q^{7} - q^{8} - 4q^{11} + 6q^{13} - q^{14} + q^{16} - 4q^{17} + O(q^{20}) \)