Properties

Label 9408.cm
Number of curves $1$
Conductor $9408$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cm1")
 
E.isogeny_class()
 

Elliptic curves in class 9408.cm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9408.cm1 9408cj1 \([0, 1, 0, -163, 755]\) \(-3136000/27\) \(-4148928\) \([]\) \(1728\) \(0.094856\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9408.cm1 has rank \(1\).

Complex multiplication

The elliptic curves in class 9408.cm do not have complex multiplication.

Modular form 9408.2.a.cm

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