Properties

Label 9450.s
Number of curves $1$
Conductor $9450$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 9450.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9450.s1 9450p1 \([1, -1, 0, -6798670242, -216641055103084]\) \(-502229023208369508642555/2365374966787997696\) \(-163679327828747432755200000000\) \([]\) \(19542600\) \(4.4556\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9450.s1 has rank \(0\).

Complex multiplication

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

Modular form 9450.2.a.s

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{7} - q^{8} + 2 q^{11} - 5 q^{13} + q^{14} + q^{16} + 6 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display