Properties

Label 190575.ey
Number of curves $1$
Conductor $190575$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("ey1")
 
E.isogeny_class()
 

Elliptic curves in class 190575.ey

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
190575.ey1 190575es1 \([0, 0, 1, -40628775, 90807599781]\) \(25104437248/2470629\) \(729931222373634330328125\) \([]\) \(38320128\) \(3.3158\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 190575.ey1 has rank \(0\).

Complex multiplication

The elliptic curves in class 190575.ey do not have complex multiplication.

Modular form 190575.2.a.ey

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + 2 q^{4} + q^{7} - 2 q^{13} + 2 q^{14} - 4 q^{16} + 3 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display