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Properties

Label 476850.be
Number of curves $1$
Conductor $476850$
CM no
Rank $1$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("be1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 476850.be1 has rank \(1\).

Complex multiplication

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

Modular form 476850.2.a.be

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 476850.be

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
476850.be1 476850be1 \([1, 1, 0, -14600, 19080000]\) \(-263762497/120434688\) \(-157169149632000000\) \([]\) \(4423680\) \(1.9788\) \(\Gamma_0(N)\)-optimal