Properties

Label 29157.a
Number of curves 1
Conductor 29157
CM no
Rank 3

Related objects

Downloads

Learn more about

Show commands for: SageMath

sage: E = EllipticCurve("29157.a1")
sage: E.isogeny_class()

Elliptic curves in class 29157.a

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
29157.a1 29157b1 [0, 1, 1, -240, 1190] 1 54864 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 29157.a1 has rank \(3\).

Modular form None

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