Properties

Label 24336.n
Number of curves $1$
Conductor $24336$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 24336.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
24336.n1 24336bu1 \([0, 0, 0, -105456, -30731636]\) \(-851968/2187\) \(-332937792076002048\) \([]\) \(209664\) \(2.0499\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 24336.n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 24336.n do not have complex multiplication.

Modular form 24336.2.a.n

sage: E.q_eigenform(10)
 
\(q - 2 q^{5} - q^{7} + 2 q^{11} + 4 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display