Properties

Label 405600.gx
Number of curves $1$
Conductor $405600$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("gx1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 405600.gx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
405600.gx1 405600gx1 \([0, 1, 0, 1316792, -4696767412]\) \(261568120/10024911\) \(-9677666127799800000000\) \([]\) \(21772800\) \(2.8986\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 405600.gx1 has rank \(1\).

Complex multiplication

The elliptic curves in class 405600.gx do not have complex multiplication.

Modular form 405600.2.a.gx

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