Properties

Label 201.c
Number of curves $1$
Conductor $201$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 201.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
201.c1 201c1 \([1, 1, 0, -794, 8289]\) \(-55467626237353/16281\) \(-16281\) \([]\) \(60\) \(0.17393\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 201.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 201.c do not have complex multiplication.

Modular form 201.2.a.c

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