Properties

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

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 6936g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6936.c1 6936g1 \([0, -1, 0, -1364176, 613938124]\) \(-68001122/27\) \(-111476398719227904\) \([]\) \(110160\) \(2.2351\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6936g1 has rank \(0\).

Complex multiplication

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

Modular form 6936.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 4 q^{7} + q^{9} - 3 q^{11} + 2 q^{13} + q^{15} + O(q^{20})\) Copy content Toggle raw display