Properties

Label 11200.f
Number of curves $1$
Conductor $11200$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 11200.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11200.f1 11200ct1 \([0, 0, 0, 50, 250]\) \(13824/35\) \(-35000000\) \([]\) \(4608\) \(0.13136\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11200.f1 has rank \(1\).

Complex multiplication

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

Modular form 11200.2.a.f

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + q^{7} + 6 q^{9} + 3 q^{11} + q^{13} + q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display