Properties

Label 310464.kw
Number of curves $1$
Conductor $310464$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
Copy content sage:E = EllipticCurve("kw1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 310464.kw1 has rank \(0\).

L-function data

 
Bad L-factors:
Prime L-Factor
\(2\)\(1\)
\(3\)\(1\)
\(7\)\(1\)
\(11\)\(1 + T\)
 
Good L-factors:
Prime L-Factor Isogeny Class over \(\mathbb{F}_p\)
\(5\) \( 1 - T + 5 T^{2}\) 1.5.ab
\(13\) \( 1 + 4 T + 13 T^{2}\) 1.13.e
\(17\) \( 1 + 6 T + 17 T^{2}\) 1.17.g
\(19\) \( 1 - 2 T + 19 T^{2}\) 1.19.ac
\(23\) \( 1 - T + 23 T^{2}\) 1.23.ab
\(29\) \( 1 - 2 T + 29 T^{2}\) 1.29.ac
$\cdots$$\cdots$$\cdots$
 
See L-function page for more information

Complex multiplication

The elliptic curves in class 310464.kw do not have complex multiplication.

Modular form 310464.2.a.kw

Copy content sage:E.q_eigenform(10)
 
\(q + q^{5} - q^{11} - 4 q^{13} - 6 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 310464.kw

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
310464.kw1 310464kw1 \([0, 0, 0, -37632, -3106208]\) \(-4194304/539\) \(-757398556164096\) \([]\) \(1105920\) \(1.5886\) \(\Gamma_0(N)\)-optimal