Properties

Label 236992.x
Number of curves $1$
Conductor $236992$
CM no
Rank $1$

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

Elliptic curves in class 236992.x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
236992.x1 236992x1 \([0, -1, 0, 11991, 4368913]\) \(1257728/55223\) \(-8371185559804928\) \([]\) \(811008\) \(1.7351\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 236992.x1 has rank \(1\).

Complex multiplication

The elliptic curves in class 236992.x do not have complex multiplication.

Modular form 236992.2.a.x

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2q^{5} + q^{7} - 2q^{9} - 2q^{11} + q^{13} + 2q^{15} - 6q^{19} + O(q^{20})\)  Toggle raw display