Properties

Label 328560.k
Number of curves $1$
Conductor $328560$
CM no
Rank $1$

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

Elliptic curves in class 328560.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
328560.k1 328560k1 \([0, -1, 0, 20079, 2522205]\) \(1362944/4995\) \(-3280845673716480\) \([]\) \(1313280\) \(1.6601\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 328560.k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 328560.k do not have complex multiplication.

Modular form 328560.2.a.k

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + 2 q^{7} + q^{9} + 3 q^{13} + q^{15} - 2 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display