Properties

Label 236600.j
Number of curves $1$
Conductor $236600$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 236600.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
236600.j1 236600j1 \([0, 1, 0, -4788, -303887]\) \(-6288640/16807\) \(-32449671545200\) \([]\) \(518400\) \(1.2800\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 236600.j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 236600.j do not have complex multiplication.

Modular form 236600.2.a.j

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