Properties

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

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 6664.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6664.c1 6664b1 \([0, 0, 0, -5243, -146314]\) \(-3241463778/4913\) \(-24158439424\) \([]\) \(5472\) \(0.89246\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6664.c1 has rank \(1\).

Complex multiplication

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

Modular form 6664.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{5} - 3 q^{9} + 2 q^{11} - 4 q^{13} + q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display