Properties

Label 6936j
Number of curves $1$
Conductor $6936$
CM no
Rank $0$

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

Elliptic curves in class 6936j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6936.a1 6936j1 \([0, -1, 0, 40, -3684]\) \(23324/19683\) \(-5824908288\) \([]\) \(7776\) \(0.55281\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6936j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 6936j do not have complex multiplication.

Modular form 6936.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{3} - 4 q^{5} + 5 q^{7} + q^{9} - q^{13} + 4 q^{15} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display