Properties

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

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 6468i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6468.i1 6468i1 \([0, -1, 0, -1111434, -495652023]\) \(-235165059164416/28529701497\) \(-18420421792595994864\) \([]\) \(147840\) \(2.4317\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6468i1 has rank \(0\).

Complex multiplication

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

Modular form 6468.2.a.i

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