Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 2366.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2366.m1 2366o1 \([1, 0, 0, -778840, 264955456]\) \(-10824513276632329/21926008832\) \(-105832656764377088\) \([]\) \(51744\) \(2.1536\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2366.m1 has rank \(1\).

Complex multiplication

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

Modular form 2366.2.a.m

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