Cremona's table of elliptic curves

17136 = 2⁴ · 3² · 7 · 17

Class	r	Atkin-Lehner	Eigenvalues
17136a (2 curves)	0	2+ 3+ 7- 17+	2+ 3+  2 7-  6  2 17+  0
Curve Equation t 17136a1 [0,0,0,-54,-5833] 2 17136a2 [0,0,0,-5199,-142690] 2
17136b (2 curves)	1	2+ 3+ 7- 17-	2+ 3+ -2 7- -6  2 17-  0
Curve Equation t Generators 17136b1 [0,0,0,-486,157491] 2 [139:1666:1] 17136b2 [0,0,0,-46791,3852630] 2 [97:476:1]
17136c (1 curve)	0	2+ 3- 7+ 17+	2+ 3-  1 7+  1 -3 17+  5
Curve Equation t 17136c1 [0,0,0,1068,458012] 1
17136d (4 curves)	0	2+ 3- 7+ 17+	2+ 3-  2 7+ -4  6 17+  0
Curve Equation t 17136d1 [0,0,0,-1074,13547] 2 17136d2 [0,0,0,-1119,12350] 4 17136d3 [0,0,0,-4899,-119950] 2 17136d4 [0,0,0,1941,68042] 2
17136e (2 curves)	0	2+ 3- 7+ 17+	2+ 3-  2 7+  6 -4 17+ -6
Curve Equation t 17136e1 [0,0,0,141,-4030] 2 17136e2 [0,0,0,-3099,-62998] 2
17136f (1 curve)	1	2+ 3- 7+ 17-	2+ 3-  1 7+ -1 -1 17- -5
Curve Equation t Generators 17136f1 [0,0,0,-856092,304879948] 1 [809:11907:1]
17136g (4 curves)	1	2+ 3- 7+ 17-	2+ 3- -2 7+ -4  2 17-  4
Curve Equation t Generators 17136g1 [0,0,0,249,-1370] 2 [9:40:1] 17136g2 [0,0,0,-1371,-12710] 4 [-27:68:1] 17136g3 [0,0,0,-19731,-1066574] 2 [-81:14:1] 17136g4 [0,0,0,-8931,315394] 2 [-91:612:1]
17136h (1 curve)	1	2+ 3- 7- 17+	2+ 3-  1 7- -3  1 17+  1
Curve Equation t Generators 17136h1 [0,0,0,6108,4288268] 1 [433:9387:1]
17136i (1 curve)	1	2+ 3- 7- 17+	2+ 3- -1 7- -3 -1 17+ -6
Curve Equation t Generators 17136i1 [0,0,0,-3,-23326] 1 [55:378:1]
17136j (4 curves)	1	2+ 3- 7- 17+	2+ 3-  2 7-  0  2 17+  0
Curve Equation t Generators 17136j1 [0,0,0,-6359799,6230596790] 2 [-415:93800:1] 17136j2 [0,0,0,-102019179,396616526570] 4 [-1667:749700:1] 17136j3 [0,0,0,-102281619,394473389042] 2 [5141:67228:1] 17136j4 [0,0,0,-1632306819,25383459170018] 2 [28951:1546650:1]
17136k (1 curve)	1	2+ 3- 7- 17+	2+ 3- -3 7-  5 -3 17+  5
Curve Equation t Generators 17136k1 [0,0,0,-804,-8836] 1 [73:567:1]
17136l (2 curves)	0	2+ 3- 7- 17-	2+ 3- -2 7-  6  4 17- -2
Curve Equation t 17136l1 [0,0,0,-54291,50812130] 2 17136l2 [0,0,0,-2416251,1436337866] 2
17136m (1 curve)	0	2- 3+ 7+ 17+	2- 3+ -1 7+  3 -5 17+  6
Curve Equation t 17136m1 [0,0,0,22437,-181494] 1
17136n (2 curves)	0	2- 3+ 7+ 17+	2- 3+ -2 7+ -2  2 17+  6
Curve Equation t 17136n1 [0,0,0,-216,135] 2 17136n2 [0,0,0,-2511,48330] 2
17136o (2 curves)	0	2- 3+ 7+ 17+	2- 3+  3 7+ -3  5 17+ -2
Curve Equation t 17136o1 [0,0,0,-2691,-53758] 1 17136o2 [0,0,0,2349,-222318] 1
17136p (1 curve)	1	2- 3+ 7+ 17-	2- 3+  1 7+ -3 -5 17-  6
Curve Equation t Generators 17136p1 [0,0,0,2493,6722] 1 [1:96:1]
17136q (2 curves)	1	2- 3+ 7+ 17-	2- 3+  2 7+  2  2 17-  6
Curve Equation t Generators 17136q1 [0,0,0,-24,-5] 2 [-14:45:8] 17136q2 [0,0,0,-279,-1790] 2 [2530:3654:125]
17136r (2 curves)	1	2- 3+ 7+ 17-	2- 3+ -3 7+  3  5 17- -2
Curve Equation t Generators 17136r1 [0,0,0,261,8234] 1 [7:102:1] 17136r2 [0,0,0,-24219,1451466] 1 [87:54:1]
17136s (1 curve)	1	2- 3+ 7- 17+	2- 3+  1 7- -1 -3 17+  2
Curve Equation t Generators 17136s1 [0,0,0,-7587,331938] 1 [369:6912:1]
17136t (2 curves)	1	2- 3+ 7- 17+	2- 3+ -2 7-  2 -6 17+  2
Curve Equation t Generators 17136t1 [0,0,0,-151416,22677975] 2 [157:1666:1] 17136t2 [0,0,0,-153711,21955050] 2 [306:1890:1]
17136u (1 curve)	0	2- 3+ 7- 17-	2- 3+ -1 7-  1 -3 17-  2
Curve Equation t 17136u1 [0,0,0,-843,-12294] 1
17136v (2 curves)	0	2- 3+ 7- 17-	2- 3+  2 7- -2 -6 17-  2
Curve Equation t 17136v1 [0,0,0,-16824,-839925] 2 17136v2 [0,0,0,-17079,-813150] 2
17136w (1 curve)	1	2- 3- 7+ 17+	2- 3- -1 7+ -5 -5 17+  5
Curve Equation t Generators 17136w1 [0,0,0,-768,-30224] 1 [65:441:1]
17136x (2 curves)	1	2- 3- 7+ 17+	2- 3-  2 7+ -2  4 17+  2
Curve Equation t Generators 17136x1 [0,0,0,-3099,93130] 2 [-3:320:1] 17136x2 [0,0,0,-54939,4955722] 2 [-19:2448:1]
17136y (6 curves)	1	2- 3- 7+ 17+	2- 3-  2 7+  4 -2 17+ -4
Curve Equation t Generators 17136y1 [0,0,0,-10115139,12366939202] 2 [2181421:-18406458:1331] 17136y2 [0,0,0,-13064259,4567696450] 4 [-66024369147:10697010087190:91733851] 17136y3 [0,0,0,-123702339,-525941897150] 4 [-40882188937770022425:-226676575453379582830:6747947491857209] 17136y4 [0,0,0,50387901,35925753922] 2 [1161387021868527962120745:-146613467999098459482161486:104533371673978952375] 17136y5 [0,0,0,-1975478979,-33795331366718] 2 [-1072757260131651696725939725209340240085457:52991034045941265051455258219089919911490:41801972684698244903805109417303366577] 17136y6 [0,0,0,-42134979,-1209166417982] 2 [87244141087:79973153246448:103823]
17136z (4 curves)	1	2- 3- 7+ 17+	2- 3- -2 7+  0 -2 17+ -4
Curve Equation t Generators 17136z1 [0,0,0,-2691,52866] 2 [1:224:1] 17136z2 [0,0,0,-5571,-80190] 4 [-63:144:1] 17136z3 [0,0,0,-76131,-8081694] 2 [-161:46:1] 17136z4 [0,0,0,18909,-594270] 2 [39:450:1]
17136ba (2 curves)	1	2- 3- 7+ 17+	2- 3-  3 7+ -3 -1 17+ -5
Curve Equation t Generators 17136ba1 [0,0,0,-26976,1745228] 1 [142:882:1] 17136ba2 [0,0,0,119904,7040252] 1 [-109694:2117682:2197]
17136bb (1 curve)	1	2- 3- 7+ 17+	2- 3- -3 7+ -1  3 17+  6
Curve Equation t Generators 17136bb1 [0,0,0,141,-2126] 1 [17:72:1]
17136bc (1 curve)	2	2- 3- 7+ 17-	2- 3- -1 7+ -1 -7 17- -3
Curve Equation t Generators 17136bc1 [0,0,0,312,2284] 1 [-6:14:1]&[2:54:1]
17136bd (1 curve)	0	2- 3- 7+ 17-	2- 3- -1 7+  5 -1 17-  6
Curve Equation t 17136bd1 [0,0,0,-2102043,-1176009014] 1
17136be (2 curves)	0	2- 3- 7+ 17-	2- 3- -2 7+  0 -2 17- -6
Curve Equation t 17136be1 [0,0,0,-516,-4345] 2 17136be2 [0,0,0,249,-16126] 2
17136bf (3 curves)	0	2- 3- 7+ 17-	2- 3-  3 7+  3  5 17- -2
Curve Equation t 17136bf1 [0,0,0,15549,20139842] 1 17136bf2 [0,0,0,-139971,-544428862] 1 17136bf3 [0,0,0,-54965091,-156853216798] 1
17136bg (1 curve)	0	2- 3- 7+ 17-	2- 3-  3 7+ -3  1 17-  7
Curve Equation t 17136bg1 [0,0,0,-6096,214832] 1
17136bh (2 curves)	0	2- 3- 7+ 17-	2- 3-  4 7+ -6 -2 17-  0
Curve Equation t 17136bh1 [0,0,0,-8643,36290] 2 17136bh2 [0,0,0,-100803,12293570] 2
17136bi (2 curves)	2	2- 3- 7+ 17-	2- 3- -4 7+ -4 -4 17-  6
Curve Equation t Generators 17136bi1 [0,0,0,4533,-22790] 2 [6:68:1]&[23:306:1] 17136bi2 [0,0,0,-18507,-184070] 2 [-129:238:1]&[-91:864:1]
17136bj (1 curve)	0	2- 3- 7- 17+	2- 3- -1 7-  3  3 17+ -3
Curve Equation t 17136bj1 [0,0,0,513312,128049136] 1
17136bk (1 curve)	0	2- 3- 7- 17+	2- 3- -1 7-  3 -3 17+ -6
Curve Equation t 17136bk1 [0,0,0,-5403,-158006] 1
17136bl (4 curves)	0	2- 3- 7- 17+	2- 3-  2 7-  0 -6 17+  0
Curve Equation t 17136bl1 [0,0,0,141,174130] 2 17136bl2 [0,0,0,-45939,3722290] 4 17136bl3 [0,0,0,-97779,-6220622] 2 17136bl4 [0,0,0,-731379,240747442] 2
17136bm (2 curves)	1	2- 3- 7- 17-	2- 3-  0 7- -2 -2 17-  0
Curve Equation t Generators 17136bm1 [0,0,0,-2595,-50654] 2 [-30:14:1] 17136bm2 [0,0,0,-4035,11842] 2 [-57:238:1]
17136bn (1 curve)	1	2- 3- 7- 17-	2- 3- -1 7-  1  1 17- -1
Curve Equation t Generators 17136bn1 [0,0,0,2832,-40336] 1 [97:1071:1]
17136bo (2 curves)	1	2- 3- 7- 17-	2- 3-  2 7- -2  0 17-  2
Curve Equation t Generators 17136bo1 [0,0,0,261,810] 2 [13:80:1] 17136bo2 [0,0,0,-1179,6858] 2 [-11:136:1]
17136bp (2 curves)	1	2- 3- 7- 17-	2- 3- -2 7-  0  6 17-  2
Curve Equation t Generators 17136bp1 [0,0,0,-3036,-64325] 2 [173:2142:1] 17136bp2 [0,0,0,-2271,-97526] 2 [146:1638:1]
17136bq (2 curves)	1	2- 3- 7- 17-	2- 3- -2 7- -6  0 17-  2
Curve Equation t Generators 17136bq1 [0,0,0,-480171,143993050] 2 [213:7168:1] 17136bq2 [0,0,0,-7945131,8619708634] 2 [789:53312:1]
17136br (1 curve)	1	2- 3- 7- 17-	2- 3-  3 7- -5  1 17- -3
Curve Equation t Generators 17136br1 [0,0,0,-22144296,40111047772] 1 [2438:24786:1]
17136bs (1 curve)	1	2- 3- 7- 17-	2- 3- -3 7-  1  1 17- -6
Curve Equation t Generators 17136bs1 [0,0,0,-317379,-70523966] 1 [737:9792:1]

Data from Elliptic Curve Data by J. E. Cremona.
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Part of Computational Number Theory
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