Properties

Label 9450.c
Number of curves 1
Conductor 9450
CM no
Rank 2

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Show commands for: SageMath

sage: E = EllipticCurve("9450.c1")
sage: E.isogeny_class()

Elliptic curves in class 9450.c

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
9450.c1 9450t1 [1, -1, 0, -117, 441] 1 4032 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 9450.c1 has rank \(2\).

Modular form 9450.2.a.c

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