Elliptic curve isogeny class with LMFDB label 306.c (Cremona label 306a)

• Label: 306.c
• Number of curves: $4$
• Conductor: $306$
• CM: no
• Rank: $0$

Elliptic curves in class 306.c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
306.c1	306a3	$[1, -1, 1, -6755, 163235]$	$46753267515625/11591221248$	$8450000289792$	$[6]$	$576$	$1.1907$
306.c2	306a1	$[1, -1, 1, -2300, -41857]$	$1845026709625/793152$	$578207808$	$[2]$	$192$	$0.64143$	$\Gamma_0(N)$-optimal
306.c3	306a2	$[1, -1, 1, -1940, -55681]$	$-1107111813625/1228691592$	$-895716170568$	$[2]$	$384$	$0.98800$
306.c4	306a4	$[1, -1, 1, 16285, 1020323]$	$655215969476375/1001033261568$	$-729753247683072$	$[6]$	$1152$	$1.5373$

Rank

The elliptic curves in class 306.c have rank $0$.

Complex multiplication

The elliptic curves in class 306.c do not have complex multiplication.

Modular form 306.2.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 LMFDB numbering.

$\left(\begin{array}{rrrr} 1 & 3 & 6 & 2 \\ 3 & 1 & 2 & 6 \\ 6 & 2 & 1 & 3 \\ 2 & 6 & 3 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with LMFDB labels.