Properties

Label 93600.dt
Number of curves $1$
Conductor $93600$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("dt1")
 
E.isogeny_class()
 

Elliptic curves in class 93600.dt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
93600.dt1 93600bo1 \([0, 0, 0, -8805000, -9843550000]\) \(2588953638400/62748517\) \(1829746755720000000000\) \([]\) \(3628800\) \(2.8642\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 93600.dt1 has rank \(1\).

Complex multiplication

The elliptic curves in class 93600.dt do not have complex multiplication.

Modular form 93600.2.a.dt

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