Properties

Label 11200x
Number of curves $1$
Conductor $11200$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("x1")
 
E.isogeny_class()
 

Elliptic curves in class 11200x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11200.n1 11200x1 \([0, 1, 0, -833, 15463]\) \(-6400/7\) \(-70000000000\) \([]\) \(11520\) \(0.77573\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11200x1 has rank \(0\).

Complex multiplication

The elliptic curves in class 11200x do not have complex multiplication.

Modular form 11200.2.a.x

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + q^{7} + q^{9} - 5 q^{11} + 8 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display