Properties

Label 222656.g
Number of curves $1$
Conductor $222656$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 222656.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
222656.g1 222656b1 \([0, 0, 0, -8235724, 9059584912]\) \(2003092024307193/9529458688\) \(293897839623408713728\) \([]\) \(20528640\) \(2.7767\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 222656.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 222656.g do not have complex multiplication.

Modular form 222656.2.a.g

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