Properties

Label 426888s
Number of curves $1$
Conductor $426888$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 426888s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
426888.s1 426888s1 \([0, 0, 0, -658119, -6817407289]\) \(-12967168/8251551\) \(-20059839332137038406896\) \([]\) \(30965760\) \(2.9585\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 426888s1 has rank \(1\).

Complex multiplication

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

Modular form 426888.2.a.s

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} - 3 q^{13} - 4 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display