Elliptic curve isogeny class with Cremona label 153c (LMFDB label 153.c)

• Label: 153c
• Number of curves: $4$
• Conductor: $153$
• CM: no
• Rank: $0$

Elliptic curves in class 153c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
153.c3	153c1	$[1, -1, 0, -6, -1]$	$35937/17$	$12393$	$[2]$	$8$	$-0.52048$	$\Gamma_0(N)$-optimal
153.c2	153c2	$[1, -1, 0, -51, 152]$	$20346417/289$	$210681$	$[2, 2]$	$16$	$-0.17390$
153.c1	153c3	$[1, -1, 0, -816, 9179]$	$82483294977/17$	$12393$	$[2]$	$32$	$0.17267$
153.c4	153c4	$[1, -1, 0, -6, 377]$	$-35937/83521$	$-60886809$	$[2]$	$32$	$0.17267$

Rank

The elliptic curves in class 153c have rank $0$.

Complex multiplication

The elliptic curves in class 153c do not have complex multiplication.

Modular form 153.2.a.c

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.

$\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with Cremona labels.