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Properties

Label 436800.nw
Number of curves $1$
Conductor $436800$
CM no
Rank $0$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("nw1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 436800.nw1 has rank \(0\).

Complex multiplication

The elliptic curves in class 436800.nw do not have complex multiplication.

Modular form 436800.2.a.nw

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

Elliptic curves in class 436800.nw

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
436800.nw1 436800nw1 \([0, 1, 0, -198133, -85302637]\) \(-3360132358144/10315633419\) \(-2640802155264000000\) \([]\) \(6451200\) \(2.2215\) \(\Gamma_0(N)\)-optimal