Elliptic curve isogeny class with Cremona label 235200oy (LMFDB label 235200.oy)

• Label: 235200oy
• Number of curves: $2$
• Conductor: $235200$
• CM: no
• Rank: $0$

Rank

The elliptic curves in class 235200oy have rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 - T\)
\(5\)	\(1\)
\(7\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(11\)	\( 1 + 6 T + 11 T^{2}\)	1.11.g
\(13\)	\( 1 + 13 T^{2}\)	1.13.a
\(17\)	\( 1 + 6 T + 17 T^{2}\)	1.17.g
\(19\)	\( 1 - 4 T + 19 T^{2}\)	1.19.ae
\(23\)	\( 1 - 6 T + 23 T^{2}\)	1.23.ag
\(29\)	\( 1 - 2 T + 29 T^{2}\)	1.29.ac
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 235200oy do not have complex multiplication.

Modular form 235200.2.a.oy

Isogeny matrix

The \(i,j\) entry is the smallest degree of a cyclic isogeny between the \(i\)-th and \(j\)-th curve in the isogeny class, in the Cremona numbering.

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.

Elliptic curves in class 235200oy

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
235200.oy2	235200oy1	\([0, 1, 0, -3064133, 2007726363]\)	\(4927700992/151875\)	\(98059265010000000000\)	\([2]\)	\(10321920\)	\(2.6116\)	\(\Gamma_0(N)\)-optimal
235200.oy1	235200oy2	\([0, 1, 0, -7351633, -4856561137]\)	\(4253563312/1476225\)	\(15250176894355200000000\)	\([2]\)	\(20643840\)	\(2.9582\)