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Properties

Label 462550j
Number of curves $1$
Conductor $462550$
CM no
Rank $0$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("j1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 462550j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 462550j do not have complex multiplication.

Modular form 462550.2.a.j

Copy content sage:E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - 2 q^{7} - q^{8} - 2 q^{9} - q^{11} - q^{12} - 6 q^{13} + 2 q^{14} + q^{16} + 4 q^{17} + 2 q^{18} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 462550j

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
462550.j1 462550j1 \([1, 1, 0, -1091061275, -19219390539875]\) \(-12997478870295491375329/6917087779880960000\) \(-76442574406906019840000000000\) \([]\) \(431308800\) \(4.2463\) \(\Gamma_0(N)\)-optimal