Properties

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

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Show commands: SageMath
E = EllipticCurve("ga1")
 
E.isogeny_class()
 

Elliptic curves in class 206400.ga

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
206400.ga1 206400bc1 \([0, 1, 0, -6433, 745823]\) \(-8986321250/68555889\) \(-224643937075200\) \([]\) \(599040\) \(1.4368\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 206400.ga1 has rank \(1\).

Complex multiplication

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

Modular form 206400.2.a.ga

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