Properties

Label 9282.d
Number of curves $1$
Conductor $9282$
CM no
Rank $0$

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

Elliptic curves in class 9282.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9282.d1 9282f1 \([1, 1, 0, -1585, 24661]\) \(-440797954857625/21898985472\) \(-21898985472\) \([]\) \(8208\) \(0.74535\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9282.d1 has rank \(0\).

Complex multiplication

The elliptic curves in class 9282.d do not have complex multiplication.

Modular form 9282.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} + q^{7} - q^{8} + q^{9} - 2 q^{11} - q^{12} + q^{13} - q^{14} + q^{16} + q^{17} - q^{18} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display