Properties

Label 90160g
Number of curves $1$
Conductor $90160$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 90160g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
90160.be1 90160g1 \([0, -1, 0, 7824, -78665]\) \(28134973184/17609375\) \(-33147605750000\) \([]\) \(184320\) \(1.2834\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 90160g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 90160g do not have complex multiplication.

Modular form 90160.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 2 q^{9} + 2 q^{11} - 3 q^{13} + q^{15} + 6 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display