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Properties

Label 480896.k
Number of curves $1$
Conductor $480896$
CM no
Rank $1$

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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 480896.k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 480896.k do not have complex multiplication.

Modular form 480896.2.a.k

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

Elliptic curves in class 480896.k

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
480896.k1 480896k1 \([0, -1, 0, -13390, 600938]\) \(-85939808/13\) \(-40164914816\) \([]\) \(422400\) \(1.0475\) \(\Gamma_0(N)\)-optimal