Cremona's table of elliptic curves

12342 = 2 · 3 · 11² · 17

Class	r	Atkin-Lehner	Eigenvalues
12342a (1 curve)	0	2+ 3+ 11- 17+	2+ 3+  1  3 11- -4 17+  5
Curve Equation t 12342a1 [1,1,0,-2,-612] 1
12342b (2 curves)	0	2+ 3+ 11- 17+	2+ 3+  2  2 11- -4 17+  2
Curve Equation t 12342b1 [1,1,0,-49826229,130099519917] 2 12342b2 [1,1,0,-134080949,-426032184915] 2
12342c (4 curves)	0	2+ 3+ 11- 17+	2+ 3+  2 -4 11-  2 17+ -4
Curve Equation t 12342c1 [1,1,0,-46829,-3919923] 2 12342c2 [1,1,0,-49249,-3495455] 4 12342c3 [1,1,0,-234379,40380355] 2 12342c4 [1,1,0,97161,-20156913] 2
12342d (6 curves)	0	2+ 3+ 11- 17+	2+ 3+ -2  0 11-  2 17+  4
Curve Equation t 12342d1 [1,1,0,-34366,-1871756] 2 12342d2 [1,1,0,-189246,30064500] 4 12342d3 [1,1,0,-2986766,1985530980] 4 12342d4 [1,1,0,130194,121616004] 2 12342d5 [1,1,0,-47788226,127133929344] 2 12342d6 [1,1,0,-2945626,2042937736] 2
12342e (1 curve)	0	2+ 3+ 11- 17+	2+ 3+  4  0 11- -4 17+ -8
Curve Equation t 12342e1 [1,1,0,42,180] 1
12342f (2 curves)	1	2+ 3+ 11- 17-	2+ 3+ -2  0 11-  4 17-  4
Curve Equation t Generators 12342f1 [1,1,0,-1091,6285] 2 [-2:93:1] 12342f2 [1,1,0,3749,51781] 2 [-5:184:1]
12342g (2 curves)	0	2+ 3- 11+ 17+	2+ 3-  0  2 11+  4 17+  0
Curve Equation t 12342g1 [1,0,1,-1021276,397155482] 2 12342g2 [1,0,1,-16340316,25422339226] 2
12342h (2 curves)	2	2+ 3- 11+ 17+	2+ 3- -2 -4 11+ -2 17+ -8
Curve Equation t Generators 12342h1 [1,0,1,-377,-376] 2 [-18:34:1]&[-12:55:1] 12342h2 [1,0,1,1493,-2620] 2 [4:56:1]&[10:110:1]
12342i (1 curve)	1	2+ 3- 11- 17+	2+ 3-  1  1 11-  6 17+ -3
Curve Equation t Generators 12342i1 [1,0,1,-30253,-2037400] 1 [46513720:116389040:226981]
12342j (2 curves)	1	2+ 3- 11- 17+	2+ 3-  2  2 11- -4 17+ -2
Curve Equation t Generators 12342j1 [1,0,1,-1455,-17426] 2 [-29:38:1] 12342j2 [1,0,1,-22025,-1259854] 2 [138228:6339619:64]
12342k (4 curves)	1	2+ 3- 11- 17+	2+ 3-  2 -4 11-  2 17+  4
Curve Equation t Generators 12342k1 [1,0,1,-707490,179061364] 2 [12559885:3320976537:274625] 12342k2 [1,0,1,-10619810,13318832756] 4 [33102:1587905:8] 12342k3 [1,0,1,-169913890,852480046196] 2 [62582:328075:8] 12342k4 [1,0,1,-9922850,15142637684] 2 [4076310:203950141:1000]
12342l (6 curves)	1	2+ 3- 11- 17+	2+ 3- -2  0 11-  2 17+ -4
Curve Equation t Generators 12342l1 [1,0,1,-4117,-94624] 2 [-29:38:1] 12342l2 [1,0,1,-13797,513280] 4 [-25:930:1] 12342l3 [1,0,1,-209817,36973000] 4 [197:1716:1] 12342l4 [1,0,1,27343,2998136] 2 [-12:1639:1] 12342l5 [1,0,1,-3357027,2367167284] 2 [1064:-180:1] 12342l6 [1,0,1,-198927,40984876] 2 [230:2607:1]
12342m (2 curves)	1	2+ 3- 11- 17+	2+ 3- -3 -1 11- -4 17+  5
Curve Equation t Generators 12342m1 [1,0,1,53600,23477870] 3 [334:8702:1] 12342m2 [1,0,1,-485455,-656593918] 1 [101236:3171059:64]
12342n (4 curves)	0	2+ 3- 11- 17-	2+ 3-  0 -2 11-  4 17- -8
Curve Equation t 12342n1 [1,0,1,-24859211,47222872310] 2 12342n2 [1,0,1,-5034571,120470952182] 2 12342n3 [1,0,1,-2007942731,34631635202294] 2 12342n4 [1,0,1,-2007923371,34632336413750] 2
12342o (2 curves)	0	2+ 3- 11- 17-	2+ 3-  0 -2 11- -4 17-  8
Curve Equation t 12342o1 [1,0,1,-23961,-1429496] 2 12342o2 [1,0,1,-22751,-1580020] 2
12342p (2 curves)	0	2+ 3- 11- 17-	2+ 3-  0 -4 11- -4 17- -4
Curve Equation t 12342p1 [1,0,1,-20936,-1222828] 3 12342p2 [1,0,1,-1717961,-866841340] 1
12342q (2 curves)	0	2+ 3- 11- 17-	2+ 3- -2  4 11-  4 17-  8
Curve Equation t 12342q1 [1,0,1,-109387,-13824010] 2 12342q2 [1,0,1,-31947,-32998154] 2
12342r (2 curves)	0	2+ 3- 11- 17-	2+ 3-  4  2 11-  0 17-  0
Curve Equation t 12342r1 [1,0,1,-23719,1403114] 2 12342r2 [1,0,1,-18879,1993594] 2
12342s (1 curve)	0	2+ 3- 11- 17-	2+ 3-  4 -4 11-  0 17-  0
Curve Equation t 12342s1 [1,0,1,12832531,-890132106976] 1
12342t (1 curve)	0	2- 3+ 11- 17-	2- 3+  1 -3 11-  4 17- -5
Curve Equation t 12342t1 [1,1,1,-305,813143] 1
12342u (2 curves)	0	2- 3+ 11- 17-	2- 3+  2  2 11-  0 17-  2
Curve Equation t 12342u1 [1,1,1,-32007,95613] 2 12342u2 [1,1,1,-361127,83165501] 2
12342v (4 curves)	0	2- 3+ 11- 17-	2- 3+  2 -4 11- -6 17- -4
Curve Equation t 12342v1 [1,1,1,-1001822,346858139] 4 12342v2 [1,1,1,-3799342,-2479756069] 4 12342v3 [1,1,1,-58556682,-172490345301] 2 12342v4 [1,1,1,6197678,-13316525749] 2
12342w (4 curves)	0	2- 3+ 11- 17-	2- 3+ -2  0 11- -2 17-  4
Curve Equation t 12342w1 [1,1,1,-806649,-210119865] 4 12342w2 [1,1,1,-11996729,-15997084729] 4 12342w3 [1,1,1,-191943089,-1023624722185] 2 12342w4 [1,1,1,-11091649,-18511396969] 2
12342x (1 curve)	0	2- 3+ 11- 17-	2- 3+  4  0 11-  4 17-  8
Curve Equation t 12342x1 [1,1,1,5019,-214389] 1
12342y (2 curves)	0	2- 3+ 11- 17-	2- 3+ -4  2 11-  6 17- -4
Curve Equation t 12342y1 [1,1,1,-305,-1429] 2 12342y2 [1,1,1,905,-8689] 2
12342z (2 curves)	0	2- 3- 11+ 17-	2- 3-  0 -2 11+ -4 17-  0
Curve Equation t 12342z1 [1,0,0,-123574338,-528737521212] 2 12342z2 [1,0,0,-1977178178,-33839110688316] 2
12342ba (2 curves)	0	2- 3- 11+ 17-	2- 3- -2  4 11+  2 17-  8
Curve Equation t 12342ba1 [1,0,0,-45559,454565] 2 12342ba2 [1,0,0,180711,3667599] 2
12342bb (2 curves)	0	2- 3- 11- 17+	2- 3-  0  4 11-  4 17+  4
Curve Equation t 12342bb1 [1,0,0,-173,903] 1 12342bb2 [1,0,0,-14198,649980] 1
12342bc (1 curve)	0	2- 3- 11- 17+	2- 3-  4  4 11-  0 17+  0
Curve Equation t 12342bc1 [1,0,0,106054,668779068] 1
12342bd (4 curves)	1	2- 3- 11- 17-	2- 3-  0 -2 11- -2 17-  4
Curve Equation t Generators 12342bd1 [1,0,0,-30918,-2094300] 2 [-102:78:1] 12342bd2 [1,0,0,-26078,-2770932] 2 [274:3130:1] 12342bd3 [1,0,0,-90813,7956081] 2 [-30:3279:1] 12342bd4 [1,0,0,218947,50517105] 2 [-56:6199:1]
12342be (1 curve)	1	2- 3- 11- 17-	2- 3-  1 -1 11- -6 17-  3
Curve Equation t Generators 12342be1 [1,0,0,-250,1508] 1 [8:2:1]
12342bf (2 curves)	1	2- 3- 11- 17-	2- 3- -2  2 11-  0 17- -6
Curve Equation t Generators 12342bf1 [1,0,0,-66129,-6410007] 2 [-144:435:1] 12342bf2 [1,0,0,-148409,12695409] 2 [604:11677:1]
12342bg (2 curves)	1	2- 3- 11- 17-	2- 3- -3  1 11-  4 17- -5
Curve Equation t Generators 12342bg1 [1,0,0,443,-17599] 1 [26:95:1] 12342bg2 [1,0,0,-4012,492944] 1 [-88:452:1]

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