Cremona's table of elliptic curves

12138 = 2 · 3 · 7 · 17²

Class	r	Atkin-Lehner	Eigenvalues
12138a (4 curves)	1	2+ 3+ 7+ 17+	2+ 3+  2 7+  0  4 17+  0
Curve Equation t Generators 12138a1 [1,1,0,-156499,24133165] 2 [342:3109:1] 12138a2 [1,1,0,-2514739,1533878413] 2 [116445:49628:125] 12138a3 [1,1,0,924361,-985881375] 2 [212004927556:10179903387287:99252847] 12138a4 [1,1,0,-11014229,-12664210113] 2 [721040990119189206451855:-3404946593110236241401547:189925441538798148625]
12138b (2 curves)	1	2+ 3+ 7+ 17+	2+ 3+  3 7+ -3 -4 17+  2
Curve Equation t Generators 12138b1 [1,1,0,-31,67] 1 [3:2:1] 12138b2 [1,1,0,224,-392] 1 [126:623:8]
12138c (2 curves)	1	2+ 3+ 7+ 17+	2+ 3+ -3 7+  3  2 17+  2
Curve Equation t Generators 12138c1 [1,1,0,9644936,16946878144] 1 [-369645738:14335177801:287496] 12138c2 [1,1,0,-91833079,-628148863211] 1 [1842526140434702355199725594150:160661284377859106249057773562561:115666167823926648574139208]
12138d (2 curves)	1	2+ 3+ 7+ 17+	2+ 3+ -3 7+  5 -1 17+  0
Curve Equation t Generators 12138d1 [1,1,0,-14,84] 1 [1:8:1] 12138d2 [1,1,0,-864,-14094] 1 [35:-9:1]
12138e (2 curves)	0	2+ 3+ 7- 17+	2+ 3+  2 7- -6  6 17+ -6
Curve Equation t 12138e1 [1,1,0,15456,-3600720] 2 12138e2 [1,1,0,-279324,-53418540] 2
12138f (1 curve)	0	2+ 3+ 7- 17+	2+ 3+ -3 7- -1  1 17+  4
Curve Equation t 12138f1 [1,1,0,18856,3301824] 1
12138g (1 curve)	0	2+ 3- 7+ 17+	2+ 3- -1 7+ -5 -1 17+ -6
Curve Equation t 12138g1 [1,0,1,-4218684,-3343946630] 1
12138h (2 curves)	0	2+ 3- 7+ 17+	2+ 3-  2 7+  2  4 17+ -2
Curve Equation t 12138h1 [1,0,1,-6220,264266] 2 12138h2 [1,0,1,-110260,14080778] 2
12138i (2 curves)	0	2+ 3- 7+ 17+	2+ 3- -2 7+  6  6 17+ -6
Curve Equation t 12138i1 [1,0,1,53,-730] 2 12138i2 [1,0,1,-967,-10930] 2
12138j (1 curve)	0	2+ 3- 7+ 17+	2+ 3-  3 7+  1  1 17+  4
Curve Equation t 12138j1 [1,0,1,5449233,16183716322] 1
12138k (1 curve)	1	2+ 3- 7- 17+	2+ 3- -1 7- -3 -3 17+  6
Curve Equation t Generators 12138k1 [1,0,1,-10844,-450142] 1 [126:370:1]
12138l (4 curves)	1	2+ 3- 7- 17+	2+ 3- -2 7-  0  4 17+  0
Curve Equation t Generators 12138l1 [1,0,1,-542,4880] 2 [5:45:1] 12138l2 [1,0,1,-8702,311696] 2 [56:0:1] 12138l3 [1,0,1,3198,-200480] 2 [59:411:1] 12138l4 [1,0,1,-38112,-2579936] 2 [-112:591:1]
12138m (2 curves)	1	2+ 3- 7- 17+	2+ 3- -2 7-  6  0 17+ -2
Curve Equation t Generators 12138m1 [1,0,1,-963677,409316600] 2 [-690:27655:1] 12138m2 [1,0,1,-15945437,24505979384] 2 [2268:1900:1]
12138n (2 curves)	1	2+ 3- 7- 17+	2+ 3-  3 7- -5 -1 17+  0
Curve Equation t Generators 12138n1 [1,0,1,-4197,441712] 1 [40600:414329:343] 12138n2 [1,0,1,-249847,-67495252] 1 [2914:153302:1]
12138o (2 curves)	0	2+ 3- 7- 17-	2+ 3-  3 7- -3  2 17-  2
Curve Equation t 12138o1 [1,0,1,33373,3451358] 3 12138o2 [1,0,1,-317762,-127873132] 1
12138p (2 curves)	0	2+ 3- 7- 17-	2+ 3- -3 7-  3 -4 17-  2
Curve Equation t 12138p1 [1,0,1,-9110,392582] 3 12138p2 [1,0,1,64585,-2378350] 1
12138q (3 curves)	0	2- 3+ 7+ 17+	2- 3+  3 7+ -3  5 17+  2
Curve Equation t 12138q1 [1,1,1,31206,57274023] 1 12138q2 [1,1,1,-280914,-1548021561] 1 12138q3 [1,1,1,-110311884,-446006527017] 1
12138r (1 curve)	1	2- 3+ 7+ 17-	2- 3+  1 7+ -3  0 17-  0
Curve Equation t Generators 12138r1 [1,1,1,-26305,-1658857] 1 [757:19942:1]
12138s (1 curve)	1	2- 3+ 7+ 17-	2- 3+ -3 7+  1  4 17-  0
Curve Equation t Generators 12138s1 [1,1,1,283,2315] 1 [35:-256:1]
12138t (1 curve)	0	2- 3+ 7- 17-	2- 3+  1 7- -5 -2 17- -2
Curve Equation t 12138t1 [1,1,1,-1740,1239813] 1
12138u (1 curve)	0	2- 3+ 7- 17-	2- 3+  3 7-  5  0 17-  6
Curve Equation t 12138u1 [1,1,1,523951,62603183] 1
12138v (1 curve)	1	2- 3- 7+ 17+	2- 3- -1 7+  5 -2 17+ -2
Curve Equation t Generators 12138v1 [1,0,0,-6,252] 1 [6:18:1]
12138w (6 curves)	1	2- 3- 7+ 17+	2- 3-  2 7+ -4 -2 17+  4
Curve Equation t Generators 12138w1 [1,0,0,-20300522,35159634852] 4 [628:150214:1] 12138w2 [1,0,0,-26219242,12984558500] 4 [-4396:210278:1] 12138w3 [1,0,0,-248263722,-1495363594140] 4 [-9198:104634:1] 12138w4 [1,0,0,101125718,102151499492] 2 [806:428762:1] 12138w5 [1,0,0,-3964676562,-96086246480388] 2 [-79854138:41766174:2197] 12138w6 [1,0,0,-84562562,-3437874298932] 2 [141226:52857136:1]
12138x (1 curve)	1	2- 3- 7+ 17+	2- 3- -3 7+  1  3 17+ -6
Curve Equation t Generators 12138x1 [1,0,0,283,-6021] 1 [1332:5403:64]
12138y (1 curve)	1	2- 3- 7+ 17+	2- 3- -3 7+ -5  0 17+  6
Curve Equation t Generators 12138y1 [1,0,0,1813,12849] 1 [22:241:1]
12138z (1 curve)	0	2- 3- 7- 17+	2- 3- -1 7-  3  0 17+  0
Curve Equation t 12138z1 [1,0,0,-91,-343] 1
12138ba (4 curves)	0	2- 3- 7- 17+	2- 3-  2 7-  0 -6 17+  0
Curve Equation t 12138ba1 [1,0,0,283,495105] 2 12138ba2 [1,0,0,-92197,10575425] 4 12138ba3 [1,0,0,-196237,-17702647] 2 12138ba4 [1,0,0,-1467837,684363897] 2
12138bb (6 curves)	0	2- 3- 7- 17+	2- 3-  2 7-  4  6 17+ -4
Curve Equation t 12138bb1 [1,0,0,-1162,33572] 2 12138bb2 [1,0,0,-24282,1453140] 4 12138bb3 [1,0,0,-30062,707520] 4 12138bb4 [1,0,0,-388422,93143592] 2 12138bb5 [1,0,0,-264152,-51775458] 2 12138bb6 [1,0,0,111548,5493938] 2
12138bc (1 curve)	0	2- 3- 7- 17+	2- 3-  3 7- -1  4 17+  0
Curve Equation t 12138bc1 [1,0,0,81781,10802001] 1
12138bd (1 curve)	0	2- 3- 7- 17+	2- 3- -3 7- -1  1 17+  6
Curve Equation t 12138bd1 [1,0,0,-636962,-200564796] 1

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