Elliptic curve isogeny class with LMFDB label 3960.s (Cremona label 3960a)

• Label: 3960.s
• Number of curves: $2$
• Conductor: $3960$
• CM: no
• Rank: $0$

Elliptic curves in class 3960.s

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
3960.s1	3960a1	$[0, 0, 0, -267, -1674]$	$76136652/275$	$7603200$	$[2]$	$1280$	$0.18145$	$\Gamma_0(N)$-optimal
3960.s2	3960a2	$[0, 0, 0, -147, -3186]$	$-6353046/75625$	$-4181760000$	$[2]$	$2560$	$0.52802$

Rank

The elliptic curves in class 3960.s have rank $0$.

L-function data

Bad L-factors:

Prime	L-Factor
$2$	$1$
$3$	$1$
$5$	$1 - T$
$11$	$1 + T$

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$7$	$1 - 4 T + 7 T^{2}$	1.7.ae
$13$	$1 + 4 T + 13 T^{2}$	1.13.e
$17$	$1 + 2 T + 17 T^{2}$	1.17.c
$19$	$1 + 6 T + 19 T^{2}$	1.19.g
$23$	$1 - 6 T + 23 T^{2}$	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 3960.s do not have complex multiplication.

Modular form 3960.2.a.s

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.