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Properties

Label 459680.k
Number of curves $1$
Conductor $459680$
CM no
Rank $0$

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

Rank

Copy content sage:E.rank()
 

The elliptic curve 459680.k1 has rank \(0\).

Complex multiplication

The elliptic curves in class 459680.k do not have complex multiplication.

Modular form 459680.2.a.k

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

Elliptic curves in class 459680.k

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
459680.k1 459680k1 \([0, -1, 0, 10760, 341912]\) \(55742968/53125\) \(-131289204800000\) \([]\) \(984960\) \(1.3962\) \(\Gamma_0(N)\)-optimal