Properties

Label 28042.a
Number of curves 1
Conductor 28042
CM no
Rank 3

Related objects

Downloads

Learn more about

Show commands for: SageMath

sage: E = EllipticCurve("28042.a1")
sage: E.isogeny_class()

Elliptic curves in class 28042.a

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
28042.a1 28042b1 [1, -1, 0, -19, 49] 1 16416 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 28042.a1 has rank \(3\).

Modular form None

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