Elliptic curve isogeny class with LMFDB label 3150.i (Cremona label 3150l)

• Label: 3150.i
• Number of curves: $6$
• Conductor: $3150$
• CM: no
• Rank: $0$

Elliptic curves in class 3150.i

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
3150.i1	3150l6	$[1, -1, 0, -614367, 185502541]$	$2251439055699625/25088$	$285768000000$	$[2]$	$20736$	$1.7671$
3150.i2	3150l5	$[1, -1, 0, -38367, 2910541]$	$-548347731625/1835008$	$-20901888000000$	$[2]$	$10368$	$1.4206$
3150.i3	3150l4	$[1, -1, 0, -7992, 227416]$	$4956477625/941192$	$10720765125000$	$[2]$	$6912$	$1.2178$
3150.i4	3150l2	$[1, -1, 0, -2367, -43709]$	$128787625/98$	$1116281250$	$[2]$	$2304$	$0.66851$
3150.i5	3150l1	$[1, -1, 0, -117, -959]$	$-15625/28$	$-318937500$	$[2]$	$1152$	$0.32194$	$\Gamma_0(N)$-optimal
3150.i6	3150l3	$[1, -1, 0, 1008, 20416]$	$9938375/21952$	$-250047000000$	$[2]$	$3456$	$0.87125$

Rank

The elliptic curves in class 3150.i have rank $0$.

Complex multiplication

The elliptic curves in class 3150.i do not have complex multiplication.

Modular form 3150.2.a.i

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.

$\left(\begin{array}{rrrrrr} 1 & 2 & 3 & 9 & 18 & 6 \\ 2 & 1 & 6 & 18 & 9 & 3 \\ 3 & 6 & 1 & 3 & 6 & 2 \\ 9 & 18 & 3 & 1 & 2 & 6 \\ 18 & 9 & 6 & 2 & 1 & 3 \\ 6 & 3 & 2 & 6 & 3 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with LMFDB labels.