Properties

Label 100005d
Number of curves 1
Conductor 100005
CM no
Rank 1

Related objects

Downloads

Learn more about

Show commands for: SageMath

sage: E = EllipticCurve("100005.c1")
sage: E.isogeny_class()

Elliptic curves in class 100005d

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
100005.c1 100005d1 [1, 0, 1, -1133, -77407] 1 180096 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 100005d1 has rank \(1\).

Modular form None

sage: E.q_eigenform(10)
\( q + q^{2} + q^{3} - q^{4} + q^{5} + q^{6} + q^{7} - 3q^{8} + q^{9} + q^{10} + 6q^{11} - q^{12} + 2q^{13} + q^{14} + q^{15} - q^{16} - 7q^{17} + q^{18} + 5q^{19} + O(q^{20}) \)