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Properties

Label 402800.n
Number of curves $1$
Conductor $402800$
CM no
Rank $0$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("n1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 402800.n1 has rank \(0\).

Complex multiplication

The elliptic curves in class 402800.n do not have complex multiplication.

Modular form 402800.2.a.n

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

Elliptic curves in class 402800.n

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
402800.n1 402800n1 \([0, 0, 0, 24400, 838000]\) \(25102282752/19266931\) \(-1233083584000000\) \([]\) \(1192320\) \(1.5838\) \(\Gamma_0(N)\)-optimal