Properties

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

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 6468d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6468.h1 6468d1 \([0, -1, 0, -1094, -16239]\) \(-76995328/18711\) \(-35221287024\) \([]\) \(5760\) \(0.74221\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6468d1 has rank \(1\).

Complex multiplication

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

Modular form 6468.2.a.d

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