Properties

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

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 6468n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6468.t1 6468n1 \([0, 1, 0, 1232726, 263606153]\) \(110056273881297152/79587574568271\) \(-149814376966120238064\) \([]\) \(201600\) \(2.5597\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6468n1 has rank \(0\).

Complex multiplication

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

Modular form 6468.2.a.n

sage: E.q_eigenform(10)
 
\(q + q^{3} + 3 q^{5} + q^{9} - q^{11} - q^{13} + 3 q^{15} + 4 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display