Properties

Label 84966.x
Number of curves $1$
Conductor $84966$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("x1")
 
E.isogeny_class()
 

Elliptic curves in class 84966.x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
84966.x1 84966n1 \([1, 1, 0, -606302, 251718132]\) \(-301935091801/161243136\) \(-13163139352439709696\) \([]\) \(1945944\) \(2.3727\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 84966.x1 has rank \(0\).

Complex multiplication

The elliptic curves in class 84966.x do not have complex multiplication.

Modular form 84966.2.a.x

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} - q^{8} + q^{9} - q^{10} + 4 q^{11} - q^{12} - 2 q^{13} - q^{15} + q^{16} - q^{18} + O(q^{20})\) Copy content Toggle raw display