Properties

Label 10002d
Number of curves 1
Conductor 10002
CM no
Rank 1

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Show commands for: SageMath

sage: E = EllipticCurve("10002.d1")
sage: E.isogeny_class()

Elliptic curves in class 10002d

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
10002.d1 10002d1 [1, 1, 1, -354, 2415] 1 2736 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 10002d1 has rank \(1\).

Modular form None

sage: E.q_eigenform(10)
\( q + q^{2} - q^{3} + q^{4} - 2q^{5} - q^{6} - 2q^{7} + q^{8} + q^{9} - 2q^{10} + 3q^{11} - q^{12} + 4q^{13} - 2q^{14} + 2q^{15} + q^{16} + q^{18} - 2q^{19} + O(q^{20}) \)