↑

Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
Copy content sage:E = EllipticCurve("ba1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 402800ba1 has rank \(0\).

Complex multiplication

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

Modular form 402800.2.a.ba

Copy content sage:E.q_eigenform(10)
 
\(q + q^{3} - 4 q^{7} - 2 q^{9} + 5 q^{11} + 6 q^{13} + 5 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 402800ba

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
402800.ba1 402800ba1 \([0, 1, 0, -433708, 157977463]\) \(-36089179133728000/22319511656903\) \(-5579877914225750000\) \([]\) \(8547840\) \(2.2990\) \(\Gamma_0(N)\)-optimal