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Properties

Label 466578.x
Number of curves $1$
Conductor $466578$
CM no
Rank $0$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("x1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 466578.x1 has rank \(0\).

Complex multiplication

The elliptic curves in class 466578.x do not have complex multiplication.

Modular form 466578.2.a.x

Copy content sage:E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - q^{8} + q^{10} - 4 q^{11} - 4 q^{13} + q^{16} - 6 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 466578.x

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
466578.x1 466578x1 \([1, -1, 0, -782490, 987046164]\) \(-4347/32\) \(-390050420767684485984\) \([]\) \(21329280\) \(2.6341\) \(\Gamma_0(N)\)-optimal