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Properties

Label 436810bw
Number of curves $1$
Conductor $436810$
CM no
Rank $0$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("bw1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 436810bw1 has rank \(0\).

Complex multiplication

The elliptic curves in class 436810bw do not have complex multiplication.

Modular form 436810.2.a.bw

Copy content sage:E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} + q^{5} - q^{6} - 5 q^{7} + q^{8} - 2 q^{9} + q^{10} - q^{12} + 2 q^{13} - 5 q^{14} - q^{15} + q^{16} + 2 q^{17} - 2 q^{18} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 436810bw

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
436810.bw1 436810bw1 \([1, 1, 1, -12405, -536975]\) \(-2102251459/50\) \(-5021130950\) \([]\) \(850560\) \(0.97268\) \(\Gamma_0(N)\)-optimal