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Properties

Label 479408.ba
Number of curves $1$
Conductor $479408$
CM no
Rank $1$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("ba1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 479408.ba1 has rank \(1\).

Complex multiplication

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

Modular form 479408.2.a.ba

Copy content sage:E.q_eigenform(10)
 
\(q + 2 q^{3} + 2 q^{5} + 3 q^{7} + q^{9} + 4 q^{11} - 5 q^{13} + 4 q^{15} + 6 q^{17} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 479408.ba

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
479408.ba1 479408ba1 \([0, -1, 0, 2008, 51440]\) \(605245247/1143574\) \(-1690952556544\) \([]\) \(803520\) \(1.0310\) \(\Gamma_0(N)\)-optimal