Properties

Label 4002.e
Number of curves 1
Conductor 4002
CM no
Rank 0

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Show commands for: SageMath
sage: E = EllipticCurve("4002.e1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 4002.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
4002.e1 4002d1 [1, 0, 1, -699, 14470] [] 3840 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4002.e1 has rank \(0\).

Modular form 4002.2.a.e

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