Properties

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

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 9450.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9450.r1 9450bb1 \([1, -1, 0, -12990012, 18023565536]\) \(54736695752751625395/38416\) \(170131978800\) \([]\) \(241920\) \(2.3676\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9450.r1 has rank \(0\).

Complex multiplication

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

Modular form 9450.2.a.r

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