Cremona's table of elliptic curves

67431 = 3 · 7 · 13² · 19

Class	r	Atkin-Lehner	Eigenvalues
67431a (2 curves)	1	3+ 7+ 13+ 19+	1 3+  0 7+  2 13+ -4 19+
Curve Equation t Generators 67431a1 [1,1,0,-2200,-36941] 2 [58878:5021971:8] 67431a2 [1,1,0,-8115,238698] 2 [-102:186:1]
67431b (4 curves)	1	3+ 7+ 13+ 19+	-1 3+ -2 7+  4 13+ -6 19+
Curve Equation t Generators 67431b1 [1,1,1,-54844,4920716] 4 [-2066:12183:8] 67431b2 [1,1,1,-55689,4760166] 4 [-8:2285:1] 67431b3 [1,1,1,43176,19945830] 2 [-60:4170:1] 67431b4 [1,1,1,-168074,-20683798] 2 [-141:556:1]
67431c (4 curves)	0	3+ 7+ 13+ 19-	1 3+ -2 7+  0 13+ -2 19-
Curve Equation t 67431c1 [1,1,0,-36676,2640019] 2 67431c2 [1,1,0,-78081,-4473360] 4 67431c3 [1,1,0,259074,-32457225] 2 67431c4 [1,1,0,-1077716,-430917651] 2
67431d (2 curves)	2	3+ 7+ 13- 19+	-1 3+ -2 7+ -2 13-  0 19+
Curve Equation t Generators 67431d1 [1,1,1,-49,86] 2 [-8:10:1]&[-7:15:1] 67431d2 [1,1,1,-244,-1474] 2 [22:55:1]&[-82:107:8]
67431e (1 curve)	0	3+ 7- 13+ 19+	2 3+  2 7-  3 13+  6 19+
Curve Equation t 67431e1 [0,-1,1,-105512,13779989] 1
67431f (2 curves)	1	3+ 7- 13+ 19-	-1 3+  0 7-  2 13+ -4 19-
Curve Equation t Generators 67431f1 [1,1,1,-35578,-791146] 2 [-128:1362:1] 67431f2 [1,1,1,-325413,70740132] 2 [-450:11463:1]
67431g (2 curves)	0	3+ 7- 13- 19-	1 3+  2 7-  2 13-  0 19-
Curve Equation t 67431g1 [1,1,0,-8284,230755] 2 67431g2 [1,1,0,-41239,-3031790] 2
67431h (3 curves)	2	3- 7+ 13+ 19+	0 3-  0 7+ -3 13+ -6 19+
Curve Equation t Generators 67431h1 [0,1,1,-58023,5395511] 1 [-243:2281:1]&[147:253:1] 67431h2 [0,1,1,170127,28863020] 1 [-100:3295:1]&[30:5830:1] 67431h3 [0,1,1,-1675353,-1297068223] 1 [3449:184294:1]&[551310:22716703:216]
67431i (1 curve)	2	3- 7+ 13+ 19+	-1 3- -1 7+  0 13+ -3 19+
Curve Equation t Generators 67431i1 [1,0,0,-426,10269] 1 [15:-93:1]&[27:-150:1]
67431j (1 curve)	1	3- 7+ 13+ 19-	1 3- -1 7+ -5 13+ -8 19-
Curve Equation t Generators 67431j1 [1,0,1,-3384,286795] 1 [53:480:1]
67431k (2 curves)	1	3- 7+ 13+ 19-	1 3-  2 7+ -2 13+  4 19-
Curve Equation t Generators 67431k1 [1,0,1,-284600,-57982039] 2 [38433:1309430:27] 67431k2 [1,0,1,-79265,-139869637] 2 [5513:405885:1]
67431l (4 curves)	1	3- 7+ 13+ 19-	1 3-  2 7+  4 13+ -2 19-
Curve Equation t Generators 67431l1 [1,0,1,-67435,-5099911] 2 [113436246:1511474015:287496] 67431l2 [1,0,1,-372480,83241121] 4 [-34746384205:1464557977602:111284641] 67431l3 [1,0,1,253665,334951411] 2 [5901108471067220946199812460:-283850557987441719026396169319:2858938409852577942616000] 67431l4 [1,0,1,-5879345,5486577059] 2 [3066297:-2060609:2197]
67431m (1 curve)	1	3- 7+ 13+ 19-	-2 3-  2 7+  1 13+ -2 19-
Curve Equation t Generators 67431m1 [0,1,1,-2422,-71132] 1 [709:18844:1]
67431n (1 curve)	2	3- 7+ 13- 19-	-2 3- -4 7+ -3 13- -2 19-
Curve Equation t Generators 67431n1 [0,1,1,100,-100] 1 [1:1:1]&[4:19:1]
67431o (2 curves)	1	3- 7- 13+ 19+	1 3- -2 7- -2 13+  4 19+
Curve Equation t Generators 67431o1 [1,0,1,-4567,4565] 2 [145:1475:1] 67431o2 [1,0,1,18248,41069] 2 [31:782:1]
67431p (4 curves)	1	3- 7- 13+ 19+	-1 3-  2 7- -4 13+  2 19+
Curve Equation t Generators 67431p1 [1,0,0,3123,-1068120] 2 [2559:6428:27] 67431p2 [1,0,0,-139682,-19489965] 4 [-245:325:1] 67431p3 [1,0,0,-348397,52349738] 4 [-649:2606:1] 67431p4 [1,0,0,-2215847,-1269756528] 2 [-107520:56004:125]
67431q (1 curve)	0	3- 7- 13+ 19-	0 3-  4 7-  3 13+  2 19-
Curve Equation t 67431q1 [0,1,1,-2189451,-1247695042] 1
67431r (1 curve)	0	3- 7- 13+ 19-	1 3-  1 7-  0 13+ -3 19-
Curve Equation t 67431r1 [1,0,1,-71998,22632989] 1
67431s (1 curve)	0	3- 7- 13+ 19-	1 3-  1 7- -3 13+  0 19-
Curve Equation t 67431s1 [1,0,1,-451403,-131364205] 1
67431t (2 curves)	0	3- 7- 13+ 19-	1 3- -4 7-  2 13+  0 19-
Curve Equation t 67431t1 [1,0,1,-72843,7560217] 2 67431t2 [1,0,1,-78758,6258917] 2
67431u (1 curve)	0	3- 7- 13- 19+	2 3-  4 7-  3 13- -2 19+
Curve Equation t 67431u1 [0,1,1,16844,-286607] 1

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