Properties

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

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Show commands: SageMath
E = EllipticCurve("du1")
 
E.isogeny_class()
 

Elliptic curves in class 28224.du

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28224.du1 28224fd1 \([0, 0, 0, -72030, -7495922]\) \(-3136000/27\) \(-355837460868288\) \([]\) \(96768\) \(1.6171\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28224.du1 has rank \(0\).

Complex multiplication

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

Modular form 28224.2.a.du

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