Properties

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

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 9450.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9450.d1 9450br1 \([1, -1, 0, 363, 15371]\) \(238521/4802\) \(-106332486750\) \([]\) \(12672\) \(0.79618\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9450.d1 has rank \(1\).

Complex multiplication

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

Modular form 9450.2.a.d

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