Properties

Label 9408.dc
Number of curves $1$
Conductor $9408$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("dc1")
 
E.isogeny_class()
 

Elliptic curves in class 9408.dc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9408.dc1 9408dc1 \([0, 1, 0, -289, -2017]\) \(-1668296/27\) \(-43352064\) \([]\) \(3456\) \(0.26580\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9408.dc1 has rank \(0\).

Complex multiplication

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

Modular form 9408.2.a.dc

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