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Properties

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

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Show commands: SageMath
Copy content sage:E = EllipticCurve("bh1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 479808.bh1 has rank \(1\).

Complex multiplication

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

Modular form 479808.2.a.bh

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

Elliptic curves in class 479808.bh

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
479808.bh1 479808bh1 \([0, 0, 0, 168756, 32307856]\) \(964894/1377\) \(-758500226791243776\) \([]\) \(5505024\) \(2.1164\) \(\Gamma_0(N)\)-optimal