Properties

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

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 28224.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28224.i1 28224dh1 \([0, 0, 0, -49392, 4225760]\) \(-5225472\) \(-2550163488768\) \([]\) \(107520\) \(1.3813\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28224.i1 has rank \(0\).

Complex multiplication

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

Modular form 28224.2.a.i

sage: E.q_eigenform(10)
 
\(q - 4 q^{5} + 3 q^{13} - 4 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display