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Properties

Label 479408k
Number of curves $1$
Conductor $479408$
CM no
Rank $2$

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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 479408k1 has rank \(2\).

Complex multiplication

The elliptic curves in class 479408k do not have complex multiplication.

Modular form 479408.2.a.k

Copy content sage:E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{5} - q^{7} - 2 q^{9} + 5 q^{11} + 2 q^{13} + 2 q^{15} - 3 q^{17} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 479408k

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
479408.k1 479408k1 \([0, -1, 0, -37664, 2929408]\) \(-30664297/1328\) \(-255905505148928\) \([]\) \(1368576\) \(1.5303\) \(\Gamma_0(N)\)-optimal