Properties

Label 9450.de
Number of curves $1$
Conductor $9450$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("de1")
 
E.isogeny_class()
 

Elliptic curves in class 9450.de

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9450.de1 9450dz1 \([1, -1, 1, 565, -38933]\) \(8120601/268912\) \(-661624362000\) \([]\) \(17280\) \(0.94813\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9450.de1 has rank \(1\).

Complex multiplication

The elliptic curves in class 9450.de do not have complex multiplication.

Modular form 9450.2.a.de

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + q^{7} + q^{8} - 3 q^{11} - 5 q^{13} + q^{14} + q^{16} + 4 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display