Cremona's table of elliptic curves

12168 = 2³ · 3² · 13²

Class	r	Atkin-Lehner	Eigenvalues
12168a (2 curves)	1	2+ 3+ 13+	2+ 3+ -2 -2 -4 13+  0  2
Curve Equation t Generators 12168a1 [0,0,0,13689,-593190] 2 [523:12232:1] 12168a2 [0,0,0,-77571,-5575986] 2 [-105:1188:1]
12168b (2 curves)	0	2+ 3- 13+	2+ 3-  0  0  6 13+ -2  0
Curve Equation t 12168b1 [0,0,0,-5070,292201] 2 12168b2 [0,0,0,-103935,12887602] 2
12168c (2 curves)	0	2+ 3- 13+	2+ 3-  0  4 -2 13+  6  4
Curve Equation t 12168c1 [0,0,0,-5070,63713] 2 12168c2 [0,0,0,17745,478946] 2
12168d (1 curve)	0	2+ 3- 13+	2+ 3- -2 -1 -1 13+ -3  7
Curve Equation t 12168d1 [0,0,0,-6591,-142805] 1
12168e (1 curve)	2	2+ 3- 13+	2+ 3- -2 -1 -6 13+ -8  4
Curve Equation t Generators 12168e1 [0,0,0,-156,884] 1 [-14:18:1]&[14:-38:1]
12168f (4 curves)	2	2+ 3- 13+	2+ 3- -2 -4  0 13+ -2 -8
Curve Equation t Generators 12168f1 [0,0,0,-59826,-5630911] 2 [-140:27:1]&[325:3042:1] 12168f2 [0,0,0,-67431,-4108390] 4 [-146:1620:1]&[-77:792:1] 12168f3 [0,0,0,-462891,118246934] 2 [-65:12168:1]&[286:3042:1] 12168f4 [0,0,0,206349,-29022370] 2 [247:6084:1]&[4486:301950:1]
12168g (1 curve)	0	2+ 3- 13+	2+ 3-  3  0  0 13+  1  0
Curve Equation t 12168g1 [0,0,0,429,-3458] 1
12168h (1 curve)	0	2+ 3- 13+	2+ 3-  3  4  4 13+ -3  4
Curve Equation t 12168h1 [0,0,0,-8311251,-9306830338] 1
12168i (2 curves)	1	2+ 3- 13-	2+ 3-  0  2 -2 13-  2 -6
Curve Equation t Generators 12168i1 [0,0,0,-390,2873] 2 [16:27:1] 12168i2 [0,0,0,-975,-7774] 2 [-13:52:1]
12168j (2 curves)	1	2+ 3- 13-	2+ 3-  2  2 -4 13-  6  2
Curve Equation t Generators 12168j1 [0,0,0,-39,1690] 2 [3:40:1] 12168j2 [0,0,0,-2379,44278] 2 [-1:216:1]
12168k (2 curves)	1	2+ 3- 13-	2+ 3- -4  2  2 13- -6  2
Curve Equation t Generators 12168k1 [0,0,0,-540462,-146660735] 2 [6920:572265:1] 12168k2 [0,0,0,-8548527,-9620201630] 2 [897955:68428764:125]
12168l (2 curves)	0	2- 3+ 13+	2- 3+  2 -2  4 13+  0  2
Curve Equation t 12168l1 [0,0,0,1521,21970] 2 12168l2 [0,0,0,-8619,206518] 2
12168m (1 curve)	1	2- 3- 13+	2- 3- -1 -5 -2 13+  3  2
Curve Equation t Generators 12168m1 [0,0,0,-24843,1577446] 1 [78:338:1]
12168n (4 curves)	1	2- 3- 13+	2- 3-  2  0  0 13+ -2  4
Curve Equation t Generators 12168n1 [0,0,0,-11154,-261443] 2 [-39:338:1] 12168n2 [0,0,0,-79599,8458450] 4 [107:1080:1] 12168n3 [0,0,0,-1265979,548261350] 2 [-325:30420:1] 12168n4 [0,0,0,11661,26728702] 2 [614:16290:1]
12168o (1 curve)	1	2- 3- 13+	2- 3-  2  1  1 13+ -3 -7
Curve Equation t Generators 12168o1 [0,0,0,-39,-65] 1 [-3:5:1]
12168p (1 curve)	1	2- 3- 13+	2- 3-  2  1  6 13+ -8 -4
Curve Equation t Generators 12168p1 [0,0,0,-26364,1942148] 1 [169:1521:1]
12168q (6 curves)	1	2- 3- 13+	2- 3- -2  0  4 13+ -2  4
Curve Equation t Generators 12168q1 [0,0,0,1014,-15379] 2 [26:169:1] 12168q2 [0,0,0,-6591,-153790] 4 [-53:216:1] 12168q3 [0,0,0,-97851,-11780314] 2 [494:7774:1] 12168q4 [0,0,0,-37011,2614430] 4 [454:8910:1] 12168q5 [0,0,0,-584571,172029494] 2 [77030:846054:125] 12168q6 [0,0,0,23829,10365446] 2 [22490:3303443:1000]
12168r (1 curve)	1	2- 3- 13+	2- 3- -3  0  0 13+  1  0
Curve Equation t Generators 12168r1 [0,0,0,72501,-7597226] 1 [755:21852:1]
12168s (1 curve)	1	2- 3- 13+	2- 3- -3 -4 -4 13+ -3 -4
Curve Equation t Generators 12168s1 [0,0,0,-49179,-4236154] 1 [283:2124:1]
12168t (2 curves)	1	2- 3- 13+	2- 3-  4  0 -2 13+ -2 -8
Curve Equation t Generators 12168t1 [0,0,0,-990678,-356562115] 2 [17840650:14484501:15625] 12168t2 [0,0,0,857337,-1533747670] 2 [2785:149850:1]
12168u (2 curves)	1	2- 3- 13+	2- 3- -4  4 -2 13+  6 -4
Curve Equation t Generators 12168u1 [0,0,0,7098,-735995] 2 [74:441:1] 12168u2 [0,0,0,-91767,-9732710] 2 [-211:486:1]
12168v (2 curves)	0	2- 3- 13-	2- 3-  0 -2  2 13-  2  6
Curve Equation t 12168v1 [0,0,0,-65910,6311981] 2 12168v2 [0,0,0,-164775,-17079478] 2
12168w (2 curves)	0	2- 3- 13-	2- 3- -2 -2  4 13-  6 -2
Curve Equation t 12168w1 [0,0,0,-6591,3712930] 2 12168w2 [0,0,0,-402051,97278766] 2
12168x (2 curves)	0	2- 3- 13-	2- 3-  4 -2 -2 13- -6 -2
Curve Equation t 12168x1 [0,0,0,-3198,-66755] 2 12168x2 [0,0,0,-50583,-4378790] 2

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