Properties

Label 8464.m
Number of curves $1$
Conductor $8464$
CM no
Rank $0$

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

Elliptic curves in class 8464.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8464.m1 8464d1 \([0, 1, 0, -2292, 42947]\) \(-562432/23\) \(-54477207152\) \([]\) \(8448\) \(0.82763\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8464.m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 8464.m do not have complex multiplication.

Modular form 8464.2.a.m

sage: E.q_eigenform(10)
 
\(q + q^{3} + 2 q^{5} - 4 q^{7} - 2 q^{9} - 2 q^{11} + 7 q^{13} + 2 q^{15} + 4 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display