Properties

Label 92736dq
Number of curves $1$
Conductor $92736$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("dq1")
 
E.isogeny_class()
 

Elliptic curves in class 92736dq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
92736.n1 92736dq1 \([0, 0, 0, -2124, 47024]\) \(-1197770328/386561\) \(-342004432896\) \([]\) \(107520\) \(0.92589\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 92736dq1 has rank \(2\).

Complex multiplication

The elliptic curves in class 92736dq do not have complex multiplication.

Modular form 92736.2.a.dq

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