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Properties

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

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Show commands: SageMath
Copy content sage:E = EllipticCurve("fy1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 479808.fy1 has rank \(1\).

Complex multiplication

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

Modular form 479808.2.a.fy

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.fy

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
479808.fy1 479808fy1 \([0, 0, 0, 2539572, -6860596624]\) \(3947714094191/46599266304\) \(-21381525586736320610304\) \([]\) \(25878528\) \(2.9656\) \(\Gamma_0(N)\)-optimal