Elliptic curve isogeny class with LMFDB label 3234.t (Cremona label 3234t)

• Label: 3234.t
• Number of curves: $4$
• Conductor: $3234$
• CM: no
• Rank: $0$

Elliptic curves in class 3234.t

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
3234.t1	3234t3	$[1, 0, 0, -17249, 870519]$	$4824238966273/66$	$7764834$	$[2]$	$4608$	$0.87800$
3234.t2	3234t2	$[1, 0, 0, -1079, 13509]$	$1180932193/4356$	$512479044$	$[2, 2]$	$2304$	$0.53143$
3234.t3	3234t4	$[1, 0, 0, -589, 25955]$	$-192100033/2371842$	$-279044839458$	$[2]$	$4608$	$0.87800$
3234.t4	3234t1	$[1, 0, 0, -99, -15]$	$912673/528$	$62118672$	$[2]$	$1152$	$0.18485$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 3234.t have rank $0$.

Complex multiplication

The elliptic curves in class 3234.t do not have complex multiplication.

Modular form 3234.2.a.t

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.