Properties

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

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 6936p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6936.q1 6936p1 \([0, 1, 0, 11464, -18030528]\) \(23324/19683\) \(-140599125720271872\) \([]\) \(132192\) \(1.9694\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6936p1 has rank \(0\).

Complex multiplication

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

Modular form 6936.2.a.p

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