Properties

Label 100010i
Number of curves 1
Conductor 100010
CM no
Rank 0

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Show commands for: SageMath

sage: E = EllipticCurve("100010.g1")
sage: E.isogeny_class()

Elliptic curves in class 100010i

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
100010.g1 100010i1 [1, 0, 0, -111496565, -453157570783] 1 9624384 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 100010i1 has rank \(0\).

Modular form None

sage: E.q_eigenform(10)
\( q + q^{2} + q^{3} + q^{4} + q^{5} + q^{6} + q^{7} + q^{8} - 2q^{9} + q^{10} + 3q^{11} + q^{12} + 4q^{13} + q^{14} + q^{15} + q^{16} - 6q^{17} - 2q^{18} + O(q^{20}) \)