Properties

Label 259920n
Number of curves $1$
Conductor $259920$
CM no
Rank $1$

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

Elliptic curves in class 259920n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
259920.n1 259920n1 \([0, 0, 0, 20577, -2345778]\) \(8208/25\) \(-2934759693484800\) \([]\) \(1225728\) \(1.6513\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 259920n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 259920n do not have complex multiplication.

Modular form 259920.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{5} - 3 q^{7} - 4 q^{11} + 3 q^{13} - 6 q^{17} + O(q^{20})\) Copy content Toggle raw display