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Properties

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

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Show commands: SageMath
Copy content sage:E = EllipticCurve("b1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 479408b1 has rank \(2\).

Complex multiplication

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

Modular form 479408.2.a.b

Copy content sage:E.q_eigenform(10)
 
\(q - 3 q^{3} + q^{5} + 6 q^{9} + 7 q^{13} - 3 q^{15} - q^{17} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 479408b

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
479408.b1 479408b1 \([0, 0, 0, -247, -1463]\) \(288527616/6889\) \(39790864\) \([]\) \(188928\) \(0.24317\) \(\Gamma_0(N)\)-optimal