Properties

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

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 28224y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28224.ch1 28224y1 \([0, 0, 0, -12348, 518616]\) \(48384\) \(4303400887296\) \([]\) \(37632\) \(1.2145\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28224y1 has rank \(0\).

Complex multiplication

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

Modular form 28224.2.a.y

sage: E.q_eigenform(10)
 
\(q - q^{5} - q^{11} - 2 q^{13} - 3 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display