Properties

Label 10008.c
Number of curves 1
Conductor 10008
CM no
Rank 1

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Show commands for: SageMath

sage: E = EllipticCurve("10008.c1")
sage: E.isogeny_class()

Elliptic curves in class 10008.c

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
10008.c1 10008d1 [0, 0, 0, 42, -151] 1 2304 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 10008.c1 has rank \(1\).

Modular form 10008.2.a.c

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