Properties

Label 8036.e
Number of curves 1
Conductor 8036
CM no
Rank 0

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Show commands for: SageMath

sage: E = EllipticCurve("8036.e1")
sage: E.isogeny_class()

Elliptic curves in class 8036.e

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
8036.e1 8036e1 [0, 1, 0, -24810, -1506583] 1 17136 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 8036.e1 has rank \(0\).

Modular form 8036.2.a.e

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