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Properties

Label 479808.kh
Number of curves $1$
Conductor $479808$
CM no
Rank $1$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("kh1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 479808.kh1 has rank \(1\).

Complex multiplication

The elliptic curves in class 479808.kh do not have complex multiplication.

Modular form 479808.2.a.kh

Copy content sage:E.q_eigenform(10)
 
\(q + q^{5} - 3 q^{11} - 2 q^{13} - q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 479808.kh

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
479808.kh1 479808kh1 \([0, 0, 0, 124439028, 2353184642032]\) \(3947714094191/46599266304\) \(-2515515103753941383481655296\) \([]\) \(181149696\) \(3.9386\) \(\Gamma_0(N)\)-optimal