Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("9408.p1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 9408.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
9408.p1 9408by1 [0, -1, 0, 159, -1791] [] 3840 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

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

Modular form 9408.2.a.p

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