Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("cy1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 28224.cy

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28224.cy1 28224bl1 \([0, 0, 0, -210, -3598]\) \(-448000/2187\) \(-4999796928\) \([]\) \(10752\) \(0.54555\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28224.cy1 has rank \(1\).

Complex multiplication

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

Modular form 28224.2.a.cy

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