Properties

Label 8036.f
Number of curves 1
Conductor 8036
CM no
Rank 1

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Show commands for: SageMath

sage: E = EllipticCurve("8036.f1")
sage: E.isogeny_class()

Elliptic curves in class 8036.f

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
8036.f1 8036d1 [0, 1, 0, -30, -43] 1 576 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 8036.f1 has rank \(1\).

Modular form 8036.2.a.f

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