Properties

Label 6936.d
Number of curves $1$
Conductor $6936$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 6936.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6936.d1 6936k1 \([0, -1, 0, -8188, 441988]\) \(-34000/27\) \(-48216435432192\) \([]\) \(14688\) \(1.3240\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6936.d1 has rank \(1\).

Complex multiplication

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

Modular form 6936.2.a.d

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