Properties

Label 24336.bt
Number of curves $1$
Conductor $24336$
CM no
Rank $0$
Graph

Related objects

Downloads

Learn more

Show commands: SageMath
Copy content sage:E = EllipticCurve([0, 0, 0, -39, 65]) E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 24336.bt1 has rank \(0\).

L-function data

 
Bad L-factors:
Prime L-Factor
\(2\)\(1\)
\(3\)\(1\)
\(13\)\(1\)
 
Good L-factors:
Prime L-Factor Isogeny Class over \(\mathbb{F}_p\)
\(5\) \( 1 - 2 T + 5 T^{2}\) 1.5.ac
\(7\) \( 1 + T + 7 T^{2}\) 1.7.b
\(11\) \( 1 + T + 11 T^{2}\) 1.11.b
\(17\) \( 1 + 3 T + 17 T^{2}\) 1.17.d
\(19\) \( 1 - 7 T + 19 T^{2}\) 1.19.ah
\(23\) \( 1 - T + 23 T^{2}\) 1.23.ab
\(29\) \( 1 + 3 T + 29 T^{2}\) 1.29.d
$\cdots$$\cdots$$\cdots$
 
See L-function page for more information

Complex multiplication

The elliptic curves in class 24336.bt do not have complex multiplication.

Modular form 24336.2.a.bt

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

Isogeny graph

Copy content sage:E.isogeny_graph().plot(edge_labels=True)
 

Elliptic curves in class 24336.bt

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
24336.bt1 24336g1 \([0, 0, 0, -39, 65]\) \(3328\) \(1971216\) \([]\) \(2880\) \(-0.086875\) \(\Gamma_0(N)\)-optimal