Properties

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

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

Elliptic curves in class 6664.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6664.d1 6664c1 \([0, 0, 0, -256907, 50185702]\) \(-3241463778/4913\) \(-2842216239794176\) \([]\) \(38304\) \(1.8654\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6664.d1 has rank \(1\).

Complex multiplication

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

Modular form 6664.2.a.d

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