Properties

Label 6468.q
Number of curves $1$
Conductor $6468$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 6468.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6468.q1 6468p1 \([0, 1, 0, -30, -99]\) \(-562432/297\) \(-1629936\) \([]\) \(1152\) \(-0.10382\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6468.q1 has rank \(1\).

Complex multiplication

The elliptic curves in class 6468.q do not have complex multiplication.

Modular form 6468.2.a.q

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