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Properties

Label 476850en
Number of curves $1$
Conductor $476850$
CM no
Rank $0$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("en1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 476850en1 has rank \(0\).

Complex multiplication

The elliptic curves in class 476850en do not have complex multiplication.

Modular form 476850.2.a.en

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

Elliptic curves in class 476850en

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
476850.en1 476850en1 \([1, 0, 1, -4219551, 93769576498]\) \(-263762497/120434688\) \(-3793681193913724608000000\) \([]\) \(75202560\) \(3.3954\) \(\Gamma_0(N)\)-optimal