Properties

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

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Show commands: SageMath
E = EllipticCurve("cf1")
 
E.isogeny_class()
 

Elliptic curves in class 9408.cf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9408.cf1 9408bc1 \([0, 1, 0, 159, 1791]\) \(68782/243\) \(-1560674304\) \([]\) \(3840\) \(0.44699\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9408.cf1 has rank \(1\).

Complex multiplication

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

Modular form 9408.2.a.cf

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