Properties

Label 485520.k
Number of curves $1$
Conductor $485520$
CM no
Rank $0$

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

Elliptic curves in class 485520.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
485520.k1 485520k1 \([0, -1, 0, -1456, -23744]\) \(-288568081/47250\) \(-55931904000\) \([]\) \(466560\) \(0.78975\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 485520.k1 has rank \(0\).

Complex multiplication

The elliptic curves in class 485520.k do not have complex multiplication.

Modular form 485520.2.a.k

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - q^{7} + q^{9} - 2q^{11} + 4q^{13} + q^{15} - 6q^{19} + O(q^{20})\)  Toggle raw display