Properties

Label 455175n
Number of curves $1$
Conductor $455175$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 455175n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
455175.n1 455175n1 \([0, 0, 1, -2926125, -1098516094]\) \(14929920/5831\) \(1082151079111733203125\) \([]\) \(24883200\) \(2.7348\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 455175n1 has rank \(1\).

Complex multiplication

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

Modular form 455175.2.a.n

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} + q^{7} - 5 q^{11} - 4 q^{13} - 2 q^{14} - 4 q^{16} + O(q^{20})\) Copy content Toggle raw display