Properties

Label 286650.gx
Number of curves $1$
Conductor $286650$
CM no
Rank $0$

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

Elliptic curves in class 286650.gx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
286650.gx1 286650gx1 \([1, -1, 0, -21492, 14704416]\) \(-11240455/949104\) \(-92703362456250000\) \([]\) \(3870720\) \(1.9353\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 286650.gx1 has rank \(0\).

Complex multiplication

The elliptic curves in class 286650.gx do not have complex multiplication.

Modular form 286650.2.a.gx

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{8} + 4 q^{11} - q^{13} + q^{16} - 7 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display