Properties

Label 6664.f
Number of curves $1$
Conductor $6664$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 6664.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6664.f1 6664f1 \([0, 0, 0, -91, -826]\) \(-1660932/4913\) \(-246514688\) \([]\) \(4608\) \(0.29713\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6664.f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 6664.f do not have complex multiplication.

Modular form 6664.2.a.f

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} - 2 q^{5} + 6 q^{9} + 5 q^{11} + 7 q^{13} - 6 q^{15} + q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display