Cremona's table of elliptic curves

3120 = 2⁴ · 3 · 5 · 13

Class	r	Atkin-Lehner	Eigenvalues
3120a (4 curves)	1	2+ 3+ 5+ 13+	2+ 3+ 5+  0  0 13+  2  0
Curve Equation t Generators 3120a1 [0,-1,0,-4876,-129440] 2 [81:22:1] 3120a2 [0,-1,0,-4896,-128304] 4 [-40:44:1] 3120a3 [0,-1,0,-9896,183696] 2 [-80:676:1] 3120a4 [0,-1,0,-216,-367920] 2 [194:2618:1]
3120b (1 curve)	0	2+ 3+ 5+ 13-	2+ 3+ 5+  1  5 13-  3  6
Curve Equation t 3120b1 [0,-1,0,9719,-245915] 1
3120c (4 curves)	0	2+ 3+ 5+ 13-	2+ 3+ 5+  4 -4 13- -6  0
Curve Equation t 3120c1 [0,-1,0,-111,-414] 2 3120c2 [0,-1,0,-156,0] 4 3120c3 [0,-1,0,-1656,26400] 4 3120c4 [0,-1,0,624,-624] 2
3120d (1 curve)	0	2+ 3+ 5- 13+	2+ 3+ 5-  3  3 13+ -1  6
Curve Equation t 3120d1 [0,-1,0,-105,-603] 1
3120e (2 curves)	1	2+ 3+ 5- 13-	2+ 3+ 5-  2  0 13- -4 -6
Curve Equation t Generators 3120e1 [0,-1,0,0,-48] 2 [8:20:1] 3120e2 [0,-1,0,-200,-1008] 2 [-8:4:1]
3120f (4 curves)	1	2+ 3+ 5- 13-	2+ 3+ 5- -4  0 13-  2  0
Curve Equation t Generators 3120f1 [0,-1,0,-2295,36450] 2 [10:120:1] 3120f2 [0,-1,0,-35100,2542752] 4 [44:1040:1] 3120f3 [0,-1,0,-561600,162177552] 4 [144:9180:1] 3120f4 [0,-1,0,-33480,2786400] 4 [-90:2250:1]
3120g (4 curves)	1	2+ 3- 5+ 13-	2+ 3- 5+  0  0 13- -6 -4
Curve Equation t Generators 3120g1 [0,1,0,169,0] 2 [52:390:1] 3120g2 [0,1,0,-676,-676] 4 [-13:78:1] 3120g3 [0,1,0,-7696,-261820] 2 [-49:6:1] 3120g4 [0,1,0,-7176,230724] 4 [-30:648:1]
3120h (4 curves)	1	2+ 3- 5+ 13-	2+ 3- 5+  0 -4 13- -2  4
Curve Equation t Generators 3120h1 [0,1,0,84,-180] 2 [6:24:1] 3120h2 [0,1,0,-416,-1980] 4 [-14:36:1] 3120h3 [0,1,0,-5816,-172620] 2 [-44:6:1] 3120h4 [0,1,0,-3016,61460] 2 [-46:324:1]
3120i (2 curves)	1	2+ 3- 5- 13+	2+ 3- 5- -2 -4 13+  0 -2
Curve Equation t Generators 3120i1 [0,1,0,720,8100] 2 [0:90:1] 3120i2 [0,1,0,-4280,74100] 2 [10:180:1]
3120j (6 curves)	0	2+ 3- 5- 13-	2+ 3- 5-  0  4 13-  2  4
Curve Equation t 3120j1 [0,1,0,-9295,-376432] 2 3120j2 [0,1,0,-152100,-22882500] 4 3120j3 [0,1,0,-2433600,-1462052700] 2 3120j4 [0,1,0,-155480,-21815772] 8 3120j5 [0,1,0,-534560,125418900] 4 3120j6 [0,1,0,169520,-100725772] 4
3120k (4 curves)	0	2+ 3- 5- 13-	2+ 3- 5- -4 -4 13-  6  0
Curve Equation t 3120k1 [0,1,0,-20,-132] 2 3120k2 [0,1,0,-520,-4732] 4 3120k3 [0,1,0,-8320,-294892] 2 3120k4 [0,1,0,-720,-972] 4
3120l (1 curve)	0	2+ 3- 5- 13-	2+ 3- 5-  5 -1 13- -3 -6
Curve Equation t 3120l1 [0,1,0,-345,2355] 1
3120m (1 curve)	0	2- 3+ 5+ 13+	2- 3+ 5+  1 -5 13+ -7  6
Curve Equation t 3120m1 [0,-1,0,-1061,21261] 1
3120n (2 curves)	0	2- 3+ 5+ 13+	2- 3+ 5+  2  6 13+ -2  2
Curve Equation t 3120n1 [0,-1,0,-81,0] 2 3120n2 [0,-1,0,324,-324] 2
3120o (4 curves)	0	2- 3+ 5+ 13+	2- 3+ 5+ -4  0 13+ -2 -4
Curve Equation t 3120o1 [0,-1,0,-4616,-197904] 2 3120o2 [0,-1,0,-86536,-9766160] 4 3120o3 [0,-1,0,-1384456,-626537744] 2 3120o4 [0,-1,0,-99336,-6673680] 2
3120p (2 curves)	1	2- 3+ 5+ 13-	2- 3+ 5+  1 -3 13-  3 -2
Curve Equation t Generators 3120p1 [0,-1,0,19,-15] 1 [1:2:1] 3120p2 [0,-1,0,-221,1521] 1 [13:-26:1]
3120q (4 curves)	1	2- 3+ 5+ 13-	2- 3+ 5+ -2  0 13-  0 -2
Curve Equation t Generators 3120q1 [0,-1,0,-96,-2304] 2 [26:110:1] 3120q2 [0,-1,0,-3296,-71424] 2 [-32:16:1] 3120q3 [0,-1,0,864,61440] 2 [-16:208:1] 3120q4 [0,-1,0,-19136,973440] 2 [-104:1352:1]
3120r (8 curves)	0	2- 3+ 5- 13-	2- 3+ 5-  0 -4 13-  2  4
Curve Equation t 3120r1 [0,-1,0,-1760,-27840] 2 3120r2 [0,-1,0,-1840,-25088] 4 3120r3 [0,-1,0,-8320,270400] 8 3120r4 [0,-1,0,3360,-145728] 2 3120r5 [0,-1,0,-130000,18084352] 8 3120r6 [0,-1,0,9680,1264000] 4 3120r7 [0,-1,0,-2080000,1155324352] 4 3120r8 [0,-1,0,-126880,18990400] 4
3120s (4 curves)	0	2- 3+ 5- 13-	2- 3+ 5- -2  0 13-  0 -2
Curve Equation t 3120s1 [0,-1,0,63960,-255888] 2 3120s2 [0,-1,0,-256040,-1791888] 2 3120s3 [0,-1,0,-854040,327977712] 2 3120s4 [0,-1,0,-13961240,20083149552] 2
3120t (1 curve)	0	2- 3+ 5- 13-	2- 3+ 5-  3  5 13-  5 -2
Curve Equation t 3120t1 [0,-1,0,-5,45] 1
3120u (4 curves)	1	2- 3- 5+ 13+	2- 3- 5+  0  0 13+ -6  0
Curve Equation t Generators 3120u1 [0,1,0,-216,-1260] 2 [-9:6:1] 3120u2 [0,1,0,-536,2964] 4 [-20:78:1] 3120u3 [0,1,0,-7736,259284] 2 [52:18:1] 3120u4 [0,1,0,1544,22100] 2 [14:216:1]
3120v (2 curves)	1	2- 3- 5+ 13+	2- 3- 5+ -2 -4 13+  8  6
Curve Equation t Generators 3120v1 [0,1,0,64,564] 2 [4:30:1] 3120v2 [0,1,0,-736,6644] 2 [50:-312:1]
3120w (2 curves)	0	2- 3- 5- 13+	2- 3- 5-  2  2 13+ -2  2
Curve Equation t 3120w1 [0,1,0,-105,-450] 2 3120w2 [0,1,0,-60,-792] 2
3120x (2 curves)	0	2- 3- 5- 13+	2- 3- 5-  2 -4 13+  4  2
Curve Equation t 3120x1 [0,1,0,-840,9588] 2 3120x2 [0,1,0,-13640,608628] 2
3120y (1 curve)	0	2- 3- 5- 13+	2- 3- 5- -3  1 13+ -1  2
Curve Equation t 3120y1 [0,1,0,-3045,-67437] 1
3120z (6 curves)	1	2- 3- 5- 13-	2- 3- 5-  0 -4 13- -6 -4
Curve Equation t Generators 3120z1 [0,1,0,240,-492] 2 [11:60:1] 3120z2 [0,1,0,-1040,-5100] 4 [-20:90:1] 3120z3 [0,1,0,-13520,-609132] 2 [156:1050:1] 3120z4 [0,1,0,-9040,324500] 8 [-97:546:1] 3120z5 [0,1,0,-144240,21037140] 4 [-6:4680:1] 3120z6 [0,1,0,-1840,834260] 4 [124:1590:1]
3120ba (1 curve)	1	2- 3- 5- 13-	2- 3- 5- -3 -1 13- -3  2
Curve Equation t Generators 3120ba1 [0,1,0,195,195975] 1 [15:-450:1]

Data from Elliptic Curve Data by J. E. Cremona.
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