Properties

Label 4020.a
Number of curves 1
Conductor 4020
CM no
Rank 1

Related objects

Downloads

Learn more about

Show commands for: SageMath

sage: E = EllipticCurve("4020.a1")
sage: E.isogeny_class()

Elliptic curves in class 4020.a

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
4020.a1 4020a1 [0, 1, 0, -21, 279] 1 960 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 4020.a1 has rank \(1\).

Modular form 4020.2.a.a

sage: E.q_eigenform(10)
\( q + q^{3} - q^{5} - 2q^{7} + q^{9} - 2q^{11} + 2q^{13} - q^{15} + 5q^{17} + q^{19} + O(q^{20}) \)