Properties

Label 8015.e
Number of curves 1
Conductor 8015
CM no
Rank 0

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Show commands for: SageMath
sage: E = EllipticCurve("8015.e1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 8015.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
8015.e1 8015a1 [1, 1, 0, -108, 3287] [] 4480 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8015.e1 has rank \(0\).

Modular form 8015.2.a.e

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