Properties

Label 90944.ek
Number of curves $1$
Conductor $90944$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ek1")
 
E.isogeny_class()
 

Elliptic curves in class 90944.ek

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
90944.ek1 90944en1 \([0, 0, 0, -3724, 126224]\) \(-185193/116\) \(-3577553616896\) \([]\) \(276480\) \(1.1104\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 90944.ek1 has rank \(0\).

Complex multiplication

The elliptic curves in class 90944.ek do not have complex multiplication.

Modular form 90944.2.a.ek

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} - 3 q^{5} + 6 q^{9} - q^{11} + 3 q^{13} - 9 q^{15} + 4 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display