↑

Properties

Label 402800i
Number of curves $1$
Conductor $402800$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
Copy content sage:E = EllipticCurve("i1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 402800i1 has rank \(1\).

Complex multiplication

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

Modular form 402800.2.a.i

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

Elliptic curves in class 402800i

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
402800.i1 402800i1 \([0, 0, 0, -200, 213375]\) \(-3538944/78671875\) \(-19667968750000\) \([]\) \(628992\) \(1.2297\) \(\Gamma_0(N)\)-optimal