Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
sage: E = EllipticCurve("ea1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 28224.ea

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28224.ea1 28224c1 \([0, 0, 0, -5292, 190512]\) \(-2646\) \(-6194316312576\) \([]\) \(46080\) \(1.1643\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28224.ea1 has rank \(1\).

Complex multiplication

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

Modular form 28224.2.a.ea

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