Properties

Label 28571.a
Number of curves 1
Conductor 28571
CM no
Rank 3

Related objects

Downloads

Learn more about

Show commands for: SageMath

sage: E = EllipticCurve("28571.a1")
sage: E.isogeny_class()

Elliptic curves in class 28571.a

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
28571.a1 28571a1 [0, -1, 1, -4, 10] 1 4240 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 28571.a1 has rank \(3\).

Modular form None

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