Properties

Label 23184bt
Number of curves $1$
Conductor $23184$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("bt1")
 
E.isogeny_class()
 

Elliptic curves in class 23184bt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
23184.bd1 23184bt1 \([0, 0, 0, -2280, 205756]\) \(-7023616000/93934323\) \(-17530399095552\) \([]\) \(57600\) \(1.2229\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 23184bt1 has rank \(2\).

Complex multiplication

The elliptic curves in class 23184bt do not have complex multiplication.

Modular form 23184.2.a.bt

sage: E.q_eigenform(10)
 
\(q + q^{7} - 5 q^{11} - 6 q^{13} - 4 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display