Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
sage: E = EllipticCurve("gq1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 28224.gq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28224.gq1 28224gm1 \([0, 0, 0, 42, -70]\) \(3584/3\) \(-6858432\) \([]\) \(7680\) \(-0.00056186\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28224.gq1 has rank \(0\).

Complex multiplication

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

Modular form 28224.2.a.gq

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