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Properties

Label 476850ft
Number of curves $1$
Conductor $476850$
CM no
Rank $1$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("ft1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 476850ft1 has rank \(1\).

Complex multiplication

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

Modular form 476850.2.a.ft

Copy content sage:E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{6} + 5 q^{7} - q^{8} + q^{9} + q^{11} + q^{12} + q^{13} - 5 q^{14} + q^{16} - q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 476850ft

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
476850.ft1 476850ft1 \([1, 0, 1, -1426, -22252]\) \(-70945777/5808\) \(-26226750000\) \([]\) \(589824\) \(0.74513\) \(\Gamma_0(N)\)-optimal