Properties

Label 155232.bw
Number of curves $1$
Conductor $155232$
CM no
Rank $0$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("bw1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 155232.bw1 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.b
\(13\) \( 1 + 2 T + 13 T^{2}\) 1.13.c
\(17\) \( 1 - 3 T + 17 T^{2}\) 1.17.ad
\(19\) \( 1 + 6 T + 19 T^{2}\) 1.19.g
\(23\) \( 1 - 5 T + 23 T^{2}\) 1.23.af
\(29\) \( 1 - 6 T + 29 T^{2}\) 1.29.ag
$\cdots$$\cdots$$\cdots$
 
See L-function page for more information

Complex multiplication

The elliptic curves in class 155232.bw do not have complex multiplication.

Modular form 155232.2.a.bw

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

Elliptic curves in class 155232.bw

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
155232.bw1 155232do1 \([0, 0, 0, -130683, 37537234]\) \(-114709448/216513\) \(-465871118155559424\) \([]\) \(1354752\) \(2.0801\) \(\Gamma_0(N)\)-optimal