Properties

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

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 2366.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2366.p1 2366m1 \([1, -1, 1, -3126, -66491]\) \(-19983597574473/3670016\) \(-620232704\) \([]\) \(4560\) \(0.68997\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2366.p1 has rank \(0\).

Complex multiplication

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

Modular form 2366.2.a.p

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