Elliptic curve isogeny class with LMFDB label 9702.bh (Cremona label 9702bl)

• Label: 9702.bh
• Number of curves: $2$
• Conductor: $9702$
• CM: no
• Rank: $0$

Elliptic curves in class 9702.bh

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
9702.bh1	9702bl2	$[1, -1, 1, -2064341, -1141100243]$	$144106117295241933/247808$	$1673018468352$	$[2]$	$118272$	$2.0344$
9702.bh2	9702bl1	$[1, -1, 1, -128981, -17817299]$	$-35148950502093/46137344$	$-311485620289536$	$[2]$	$59136$	$1.6878$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 9702.bh have rank $0$.

L-function data

Bad L-factors:

Prime	L-Factor
$2$	$1 - T$
$3$	$1$
$7$	$1$
$11$	$1 - T$

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$5$	$1 + 2 T + 5 T^{2}$	1.5.c
$13$	$1 - 2 T + 13 T^{2}$	1.13.ac
$17$	$1 + 6 T + 17 T^{2}$	1.17.g
$19$	$1 - 4 T + 19 T^{2}$	1.19.ae
$23$	$1 - 6 T + 23 T^{2}$	1.23.ag
$29$	$1 - 6 T + 29 T^{2}$	1.29.ag
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 9702.bh do not have complex multiplication.

Modular form 9702.2.a.bh

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 LMFDB numbering.

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

Isogeny graph

The vertices are labelled with LMFDB labels.