Properties

Label 6019.a
Number of curves 1
Conductor 6019
CM no
Rank 1

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Show commands for: SageMath

sage: E = EllipticCurve("6019.a1")
sage: E.isogeny_class()

Elliptic curves in class 6019.a

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
6019.a1 6019a1 [0, 0, 1, 64, 599] 1 1100 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 6019.a1 has rank \(1\).

Modular form 6019.2.a.a

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