Properties

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

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 9408.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9408.p1 9408by1 \([0, -1, 0, 159, -1791]\) \(68782/243\) \(-1560674304\) \([]\) \(3840\) \(0.44699\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9408.p1 has rank \(1\).

Complex multiplication

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

Modular form 9408.2.a.p

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