Properties

Label 6468.p
Number of curves $1$
Conductor $6468$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 6468.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6468.p1 6468l1 \([0, 1, 0, 670, 2421]\) \(17643776/11319\) \(-21306704496\) \([]\) \(3456\) \(0.67080\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6468.p1 has rank \(0\).

Complex multiplication

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

Modular form 6468.2.a.p

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