↑

Properties

Label 462400.gq
Number of curves $1$
Conductor $462400$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
Copy content sage:E = EllipticCurve("gq1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 462400.gq1 has rank \(1\).

Complex multiplication

The elliptic curves in class 462400.gq do not have complex multiplication.

Modular form 462400.2.a.gq

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

Elliptic curves in class 462400.gq

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
462400.gq1 462400gq1 \([0, 1, 0, 1839967, 773228063]\) \(55742968/53125\) \(-656541876800000000000\) \([]\) \(13271040\) \(2.6816\) \(\Gamma_0(N)\)-optimal