Properties

Label 91200gx
Number of curves $1$
Conductor $91200$
CM no
Rank $1$

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

Elliptic curves in class 91200gx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
91200.t1 91200gx1 \([0, -1, 0, -7833, 183537]\) \(132893440/41553\) \(16621200000000\) \([]\) \(161280\) \(1.2411\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 91200gx1 has rank \(1\).

Complex multiplication

The elliptic curves in class 91200gx do not have complex multiplication.

Modular form 91200.2.a.gx

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