Properties

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

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 5408.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5408.a1 5408g1 \([0, 0, 0, -15379, -742586]\) \(-74088\) \(-5429503678976\) \([]\) \(22464\) \(1.2509\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5408.a1 has rank \(0\).

Complex multiplication

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

Modular form 5408.2.a.a

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} - 3 q^{5} - q^{7} + 6 q^{9} + 4 q^{11} + 9 q^{15} + 5 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display