Properties

Label 6468o
Number of curves $1$
Conductor $6468$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 6468o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6468.r1 6468o1 \([0, 1, 0, 670, -363903]\) \(17643776/30438639\) \(-57297207035376\) \([]\) \(17280\) \(1.3189\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6468o1 has rank \(1\).

Complex multiplication

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

Modular form 6468.2.a.o

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