Properties

Label 28224.a
Number of curves $1$
Conductor $28224$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 28224.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28224.a1 28224ez1 \([0, 0, 0, 2058, -24010]\) \(3584/3\) \(-806887666368\) \([]\) \(53760\) \(0.97239\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28224.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 28224.a do not have complex multiplication.

Modular form 28224.2.a.a

sage: E.q_eigenform(10)
 
\(q - 4 q^{5} - 6 q^{11} - 5 q^{13} - 2 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display