Properties

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

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Show commands for: SageMath

sage: E = EllipticCurve("4002.c1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 4002.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
4002.c1 4002b1 [1, 1, 0, -6612, -211932] [] 7392 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4002.c1 has rank \(0\).

Modular form 4002.2.a.c

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