Properties

Label 2366.g
Number of curves $1$
Conductor $2366$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 2366.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2366.g1 2366f1 \([1, -1, 0, -528241, -147664867]\) \(-19983597574473/3670016\) \(-2993744797761536\) \([]\) \(59280\) \(1.9724\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2366.g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 2366.g do not have complex multiplication.

Modular form 2366.2.a.g

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