Properties

Label 388080.ou
Number of curves $1$
Conductor $388080$
CM no
Rank $0$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("ou1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 388080.ou1 has rank \(0\).

L-function data

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

Complex multiplication

The elliptic curves in class 388080.ou do not have complex multiplication.

Modular form 388080.2.a.ou

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

Elliptic curves in class 388080.ou

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
388080.ou1 388080ou1 \([0, 0, 0, -866214552, -9817138886996]\) \(-3273741656681120014336/1733575611796875\) \(-38062606255109071020000000\) \([]\) \(139345920\) \(3.8584\) \(\Gamma_0(N)\)-optimal