Properties

Label 414050.bi
Number of curves $1$
Conductor $414050$
CM no
Rank $0$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("bi1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 414050.bi1 has rank \(0\).

Complex multiplication

The elliptic curves in class 414050.bi do not have complex multiplication.

Modular form 414050.2.a.bi

Copy content sage:E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{8} - 3 q^{9} - 6 q^{11} + q^{16} + q^{17} + 3 q^{18} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 414050.bi

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
414050.bi1 414050bi1 \([1, -1, 0, -452867, 12476491]\) \(590625/338\) \(5878156595189401250\) \([]\) \(7112448\) \(2.2912\) \(\Gamma_0(N)\)-optimal