Elliptic curve isogeny class with Cremona label 275080m (LMFDB label 275080.m)

• Label: 275080m
• Number of curves: $2$
• Conductor: $275080$
• CM: no
• Rank: $0$

Elliptic curves in class 275080m

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
275080.m1	275080m1	$[0, -1, 0, -10756, 426276]$	$3631696/65$	$2463317192960$	$[2]$	$402688$	$1.1734$	$\Gamma_0(N)$-optimal
275080.m2	275080m2	$[0, -1, 0, -176, 1217660]$	$-4/4225$	$-640462470169600$	$[2]$	$805376$	$1.5200$

Rank

The elliptic curves in class 275080m have rank $0$.

L-function data

Bad L-factors:

Prime	L-Factor
$2$	$1$
$5$	$1 + T$
$13$	$1 - T$
$23$	$1$

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$3$	$1 - 2 T + 3 T^{2}$	1.3.ac
$7$	$1 + 7 T^{2}$	1.7.a
$11$	$1 + 2 T + 11 T^{2}$	1.11.c
$17$	$1 + 2 T + 17 T^{2}$	1.17.c
$19$	$1 + 2 T + 19 T^{2}$	1.19.c
$29$	$1 + 6 T + 29 T^{2}$	1.29.g
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 275080m do not have complex multiplication.

Modular form 275080.2.a.m

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.