Properties

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

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 6468.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6468.m1 6468s1 \([0, 1, 0, -44, 132]\) \(-768208/297\) \(-3725568\) \([]\) \(864\) \(-0.029732\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6468.m1 has rank \(1\).

Complex multiplication

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

Modular form 6468.2.a.m

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