Properties

Label 426888.cw
Number of curves $1$
Conductor $426888$
CM no
Rank $2$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("cw1")
 
E.isogeny_class()
 

Elliptic curves in class 426888.cw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
426888.cw1 426888cw1 \([0, 0, 0, -71148, -6142444]\) \(123904/21\) \(6750652756167936\) \([]\) \(2064384\) \(1.7581\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 426888.cw1 has rank \(2\).

Complex multiplication

The elliptic curves in class 426888.cw do not have complex multiplication.

Modular form 426888.2.a.cw

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