Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 2366.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2366.i1 2366p1 \([1, 0, 0, 29, 129]\) \(15925559/50176\) \(-8479744\) \([]\) \(480\) \(0.012664\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2366.i1 has rank \(1\).

Complex multiplication

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

Modular form 2366.2.a.i

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