Properties

Label 5239.c
Number of curves $1$
Conductor $5239$
CM no
Rank $0$

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

Elliptic curves in class 5239.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5239.c1 5239c1 \([0, -1, 1, 9, -11]\) \(32768/31\) \(-68107\) \([]\) \(504\) \(-0.38544\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5239.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 5239.c do not have complex multiplication.

Modular form 5239.2.a.c

sage: E.q_eigenform(10)
 
\(q + 2 q^{3} - 2 q^{4} + 4 q^{5} + 2 q^{7} + q^{9} - q^{11} - 4 q^{12} + 8 q^{15} + 4 q^{16} + 2 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display