Properties

Label 5408.k
Number of curves $1$
Conductor $5408$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 5408.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5408.k1 5408i1 \([0, -1, 0, -225, -1327]\) \(-10816\) \(-116985856\) \([]\) \(1344\) \(0.29061\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5408.k1 has rank \(0\).

Complex multiplication

The elliptic curves in class 5408.k do not have complex multiplication.

Modular form 5408.2.a.k

sage: E.q_eigenform(10)
 
\(q + 2 q^{3} + q^{5} + q^{9} + 4 q^{11} + 2 q^{15} + 3 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display