↑

Properties

Label 412984g
Number of curves $1$
Conductor $412984$
CM no
Rank $2$

Related objects

Downloads

Learn more

Show commands: SageMath
Copy content sage:E = EllipticCurve("g1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 412984g1 has rank \(2\).

Complex multiplication

The elliptic curves in class 412984g do not have complex multiplication.

Modular form 412984.2.a.g

Copy content sage:E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 2 q^{7} - 2 q^{9} + q^{11} + q^{13} + q^{15} + 4 q^{17} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 412984g

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
412984.g1 412984g1 \([0, -1, 0, -1040161, -508120603]\) \(-10333900063744/3293331899\) \(-39664051357147652864\) \([]\) \(7983360\) \(2.4735\) \(\Gamma_0(N)\)-optimal