Properties

Label 115920.do
Number of curves $1$
Conductor $115920$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
sage: E = EllipticCurve("do1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 115920.do

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
115920.do1 115920bi1 \([0, 0, 0, -12, 2284]\) \(-1024/12075\) \(-2253484800\) \([]\) \(43008\) \(0.47355\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 115920.do1 has rank \(1\).

Complex multiplication

The elliptic curves in class 115920.do do not have complex multiplication.

Modular form 115920.2.a.do

sage: E.q_eigenform(10)
 
\(q + q^{5} - q^{7} + 3 q^{11} + 6 q^{17} + q^{19} + O(q^{20})\)  Toggle raw display