Properties

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

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Show commands: SageMath
E = EllipticCurve("cs1")
 
E.isogeny_class()
 

Elliptic curves in class 9450.cs

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9450.cs1 9450ct1 \([1, -1, 1, -444680, -114192053]\) \(-184404614399559/314703872\) \(-16595712000000000\) \([]\) \(97920\) \(2.0070\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9450.cs1 has rank \(1\).

Complex multiplication

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

Modular form 9450.2.a.cs

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