Properties

Label 338100w
Number of curves $1$
Conductor $338100$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("w1")
 
E.isogeny_class()
 

Elliptic curves in class 338100w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
338100.w1 338100w1 \([0, -1, 0, -32328893, -70742683143]\) \(-20256384340484096/718449183\) \(-132534930195442656000\) \([]\) \(18748800\) \(2.9506\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 338100w1 has rank \(1\).

Complex multiplication

The elliptic curves in class 338100w do not have complex multiplication.

Modular form 338100.2.a.w

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} - 2 q^{11} + 2 q^{13} - 7 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display