Properties

Label 28224.cl
Number of curves $1$
Conductor $28224$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
sage: E = EllipticCurve("cl1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 28224.cl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28224.cl1 28224z1 \([0, 0, 0, 69972, 16096304]\) \(68782/243\) \(-133852981198454784\) \([]\) \(215040\) \(1.9693\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28224.cl1 has rank \(0\).

Complex multiplication

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

Modular form 28224.2.a.cl

sage: E.q_eigenform(10)
 
\(q - q^{5} + 3q^{11} - 4q^{13} + 4q^{19} + O(q^{20})\)  Toggle raw display