Properties

Label 455175u
Number of curves $1$
Conductor $455175$
CM no
Rank $2$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 455175u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
455175.u1 455175u1 \([0, 0, 1, -21675, 984406]\) \(1183744/245\) \(233082315703125\) \([]\) \(2239488\) \(1.4720\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 455175u1 has rank \(2\).

Complex multiplication

The elliptic curves in class 455175u do not have complex multiplication.

Modular form 455175.2.a.u

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