Properties

Label 28224.s
Number of curves $1$
Conductor $28224$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 28224.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28224.s1 28224gg1 \([0, 0, 0, -2604, 51856]\) \(-1668296/27\) \(-31603654656\) \([]\) \(27648\) \(0.81511\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28224.s1 has rank \(2\).

Complex multiplication

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

Modular form 28224.2.a.s

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} - q^{11} - 4 q^{13} + 4 q^{17} + O(q^{20})\) Copy content Toggle raw display