Properties

Label 206400.gt
Number of curves $1$
Conductor $206400$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("gt1")
 
E.isogeny_class()
 

Elliptic curves in class 206400.gt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
206400.gt1 206400f1 \([0, 1, 0, 2667, 54963]\) \(327680/387\) \(-2476800000000\) \([]\) \(299520\) \(1.0644\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 206400.gt1 has rank \(0\).

Complex multiplication

The elliptic curves in class 206400.gt do not have complex multiplication.

Modular form 206400.2.a.gt

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