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Properties

Label 477950.ba
Number of curves $1$
Conductor $477950$
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 477950.ba1 has rank \(1\).

Complex multiplication

The elliptic curves in class 477950.ba do not have complex multiplication.

Modular form 477950.2.a.ba

Copy content sage:E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{6} - 3 q^{7} - q^{8} - 2 q^{9} + q^{12} - 7 q^{13} + 3 q^{14} + q^{16} - 4 q^{17} + 2 q^{18} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 477950.ba

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
477950.ba1 477950ba1 \([1, 0, 1, -10651, -399302]\) \(4826809/316\) \(8747082437500\) \([]\) \(1433600\) \(1.2331\) \(\Gamma_0(N)\)-optimal