Properties

Label 32192g
Number of curves $1$
Conductor $32192$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 32192g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
32192.u1 32192g1 \([0, 1, 0, -353, -2689]\) \(-74438500/503\) \(-32964608\) \([]\) \(6656\) \(0.27743\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 32192g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 32192g do not have complex multiplication.

Modular form 32192.2.a.g

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{7} - 2 q^{9} + 5 q^{11} - 3 q^{13} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display