Properties

Label 184041e
Number of curves $1$
Conductor $184041$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 184041e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
184041.e1 184041e1 \([0, 0, 1, 674817, 40207846]\) \(45056/27\) \(-20365397328609668907\) \([]\) \(7299072\) \(2.3943\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 184041e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 184041e do not have complex multiplication.

Modular form 184041.2.a.e

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