Cremona's table of elliptic curves

107100 = 2² · 3² · 5² · 7 · 17

Class	r	Atkin-Lehner	Eigenvalues
107100a (2 curves)	2	2- 3+ 5+ 7+ 17+	2- 3+ 5+ 7+ -2 -2 17+ -6
Curve Equation t Generators 107100a1 [0,0,0,-600,625] 2 [-10:75:1]&[0:25:1] 107100a2 [0,0,0,-6975,223750] 2 [35:150:1]&[-85:450:1]
107100b (4 curves)	0	2- 3+ 5+ 7+ 17+	2- 3+ 5+ 7+  6 -2 17+  2
Curve Equation t 107100b1 [0,0,0,-337200,-49457875] 2 107100b2 [0,0,0,-2179575,1201514750] 2 107100b3 [0,0,0,-24613200,-47000253375] 2 107100b4 [0,0,0,-24670575,-46770122250] 2
107100c (2 curves)	1	2- 3+ 5+ 7+ 17-	2- 3+ 5+ 7+  2 -2 17- -6
Curve Equation t Generators 107100c1 [0,0,0,-5400,-16875] 2 [-5:100:1] 107100c2 [0,0,0,-62775,-6041250] 2 [2874:153468:1]
107100d (4 curves)	1	2- 3+ 5+ 7+ 17-	2- 3+ 5+ 7+ -6 -2 17-  2
Curve Equation t Generators 107100d1 [0,0,0,-2734800,1740750125] 2 [25545:12500:27] 107100d2 [0,0,0,-2741175,1732226750] 2 [1114:7812:1] 107100d3 [0,0,0,-3034800,1335362625] 2 [-840:57375:1] 107100d4 [0,0,0,-19616175,-32440898250] 2 [-2285:21250:1]
107100e (1 curve)	1	2- 3+ 5+ 7- 17+	2- 3+ 5+ 7-  1  0 17+  8
Curve Equation t Generators 107100e1 [0,0,0,-360,-2620] 1 [-11:3:1]
107100f (2 curves)	1	2- 3+ 5+ 7- 17+	2- 3+ 5+ 7-  2 -2 17+ -2
Curve Equation t Generators 107100f1 [0,0,0,-43200,3371625] 2 [220:-2125:1] 107100f2 [0,0,0,-100575,-7472250] 2 [-81:378:1]
107100g (2 curves)	1	2- 3+ 5+ 7- 17+	2- 3+ 5+ 7-  2  6 17+ -2
Curve Equation t Generators 107100g1 [0,0,0,-420600,104990625] 2 [390:-525:1] 107100g2 [0,0,0,-426975,101643750] 2 [475:2450:1]
107100h (2 curves)	1	2- 3+ 5+ 7- 17+	2- 3+ 5+ 7- -4  4 17+ -2
Curve Equation t Generators 107100h1 [0,0,0,-53550884700,-4769777149923375] 2 [-163671867340:2862125:1225043] 107100h2 [0,0,0,-53550901575,-4769773993505250] 2 [-133505:37450:1]
107100i (2 curves)	1	2- 3+ 5+ 7- 17+	2- 3+ 5+ 7- -4 -4 17+  6
Curve Equation t Generators 107100i1 [0,0,0,-53700,-4737875] 2 [815:22200:1] 107100i2 [0,0,0,-100575,4777750] 2 [-270:3500:1]
107100j (1 curve)	0	2- 3+ 5+ 7- 17-	2- 3+ 5+ 7- -1  0 17-  8
Curve Equation t 107100j1 [0,0,0,-3240,70740] 1
107100k (2 curves)	0	2- 3+ 5+ 7- 17-	2- 3+ 5+ 7- -2 -2 17- -2
Curve Equation t 107100k1 [0,0,0,-4800,-124875] 2 107100k2 [0,0,0,-11175,276750] 2
107100l (2 curves)	0	2- 3+ 5+ 7- 17-	2- 3+ 5+ 7- -2  6 17- -2
Curve Equation t 107100l1 [0,0,0,-3785400,-2834746875] 2 107100l2 [0,0,0,-3842775,-2744381250] 2
107100m (2 curves)	0	2- 3+ 5+ 7- 17-	2- 3+ 5+ 7-  4  4 17- -2
Curve Equation t 107100m1 [0,0,0,-5950098300,176658412960125] 2 107100m2 [0,0,0,-5950100175,176658296055750] 2
107100n (2 curves)	0	2- 3+ 5+ 7- 17-	2- 3+ 5+ 7-  4 -4 17-  6
Curve Equation t 107100n1 [0,0,0,-483300,127922625] 2 107100n2 [0,0,0,-905175,-128999250] 2
107100o (1 curve)	1	2- 3+ 5- 7+ 17+	2- 3+ 5- 7+ -1  0 17+  8
Curve Equation t Generators 107100o1 [0,0,0,-81000,8842500] 1 [156:54:1]
107100p (1 curve)	0	2- 3+ 5- 7+ 17-	2- 3+ 5- 7+  1  0 17-  8
Curve Equation t 107100p1 [0,0,0,-9000,-327500] 1
107100q (2 curves)	1	2- 3- 5+ 7+ 17+	2- 3- 5+ 7+  0  2 17+  6
Curve Equation t Generators 107100q1 [0,0,0,-12900,543125] 2 [-125:450:1] 107100q2 [0,0,0,6225,2015750] 2 [6694:547722:1]
107100r (4 curves)	1	2- 3- 5+ 7+ 17+	2- 3- 5+ 7+  0 -2 17+  2
Curve Equation t Generators 107100r1 [0,0,0,94200,-5347375] 2 [136:3159:1] 107100r2 [0,0,0,-422175,-45108250] 2 [-485:6750:1] 107100r3 [0,0,0,-1039800,496731125] 2 [2404:1369251:64] 107100r4 [0,0,0,-17621175,28469510750] 2 [2494:5922:1]
107100s (4 curves)	1	2- 3- 5+ 7+ 17+	2- 3- 5+ 7+  0  4 17+ -4
Curve Equation t Generators 107100s1 [0,0,0,-145200,-20530375] 2 [-220:875:1] 107100s2 [0,0,0,67425,-75600250] 2 [995:31250:1] 107100s3 [0,0,0,-1765200,896592125] 2 [1255:25650:1] 107100s4 [0,0,0,-607575,2055374750] 2 [6610:368125:8]
107100t (1 curve)	1	2- 3- 5+ 7+ 17+	2- 3- 5+ 7+  1  7 17+  3
Curve Equation t Generators 107100t1 [0,0,0,7800,-285500] 1 [44:378:1]
107100u (1 curve)	1	2- 3- 5+ 7+ 17+	2- 3- 5+ 7+ -1 -4 17+  0
Curve Equation t Generators 107100u1 [0,0,0,-3405,-96955] 1 [196:2601:1]
107100v (2 curves)	1	2- 3- 5+ 7+ 17+	2- 3- 5+ 7+  2  2 17+  0
Curve Equation t Generators 107100v1 [0,0,0,-3686700,-2659033375] 2 [10795:1102500:1] 107100v2 [0,0,0,778425,-8691417250] 2 [3290:171700:1]
107100w (2 curves)	1	2- 3- 5+ 7+ 17+	2- 3- 5+ 7+  3  4 17+ -4
Curve Equation t Generators 107100w1 [0,0,0,-125625,-17884375] 1 [461:4709:1] 107100w2 [0,0,0,661875,-39934375] 1 [3623901352:192244957963:25153757]
107100x (2 curves)	1	2- 3- 5+ 7+ 17+	2- 3- 5+ 7+ -3 -2 17+ -4
Curve Equation t Generators 107100x1 [0,0,0,-35040,2265860] 1 [4:1458:1] 107100x2 [0,0,0,-2756640,1761644180] 1 [949:513:1]
107100y (1 curve)	1	2- 3- 5+ 7+ 17+	2- 3- 5+ 7+  6  2 17+  3
Curve Equation t Generators 107100y1 [0,0,0,-615,6190] 1 [14:18:1]
107100z (2 curves)	1	2- 3- 5+ 7+ 17+	2- 3- 5+ 7+ -6 -5 17+  2
Curve Equation t Generators 107100z1 [0,0,0,7800,-173500] 1 [40:450:1] 107100z2 [0,0,0,-82200,11796500] 1 [-35:3825:1]
107100ba (4 curves)	0	2- 3- 5+ 7+ 17-	2- 3- 5+ 7+  0  4 17- -4
Curve Equation t 107100ba1 [0,0,0,-35725800,42859222625] 2 107100ba2 [0,0,0,119277825,315200591750] 2 107100ba3 [0,0,0,-2489539800,47810865981125] 2 107100ba4 [0,0,0,-2479121175,48230872010750] 2
107100bb (2 curves)	2	2- 3- 5+ 7+ 17-	2- 3- 5+ 7+  0 -6 17-  6
Curve Equation t Generators 107100bb1 [0,0,0,-1200,196625] 2 [-56:297:1]&[20:-425:1] 107100bb2 [0,0,0,-58575,5417750] 2 [-245:2250:1]&[-185:3150:1]
107100bc (2 curves)	0	2- 3- 5+ 7+ 17-	2- 3- 5+ 7+ -2  0 17- -6
Curve Equation t 107100bc1 [0,0,0,-834310200,9275213924125] 2 107100bc2 [0,0,0,-793669575,10219417564750] 2
107100bd (1 curve)	0	2- 3- 5+ 7+ 17-	2- 3- 5+ 7+ -2  5 17- -6
Curve Equation t 107100bd1 [0,0,0,-19200,-1041500] 1
107100be (2 curves)	0	2- 3- 5+ 7+ 17-	2- 3- 5+ 7+ -2 -6 17-  0
Curve Equation t 107100be1 [0,0,0,-126300,11141125] 2 107100be2 [0,0,0,369825,77125750] 2
107100bf (2 curves)	0	2- 3- 5+ 7+ 17-	2- 3- 5+ 7+  3  1 17-  5
Curve Equation t 107100bf1 [0,0,0,-674400,-218153500] 1 107100bf2 [0,0,0,2997600,-880031500] 1
107100bg (2 curves)	0	2- 3- 5+ 7+ 17-	2- 3- 5+ 7+  4  0 17- -4
Curve Equation t 107100bg1 [0,0,0,-4800,-23875] 2 107100bg2 [0,0,0,18825,-189250] 2
107100bh (2 curves)	0	2- 3- 5+ 7+ 17-	2- 3- 5+ 7+  4  2 17-  6
Curve Equation t 107100bh1 [0,0,0,-2984700,-1240070375] 2 107100bh2 [0,0,0,8968425,-8686867250] 2
107100bi (2 curves)	2	2- 3- 5+ 7- 17+	2- 3- 5+ 7-  0 -6 17+ -2
Curve Equation t Generators 107100bi1 [0,0,0,-75900,8040625] 2 [206:-1071:1]&[-250:3375:1] 107100bi2 [0,0,0,-56775,12190750] 2 [131:-2646:1]&[-121:4158:1]
107100bj (1 curve)	0	2- 3- 5+ 7- 17+	2- 3- 5+ 7-  2 -1 17+  6
Curve Equation t 107100bj1 [0,0,0,-397200,430148500] 1
107100bk (2 curves)	0	2- 3- 5+ 7- 17+	2- 3- 5+ 7- -2  6 17+  8
Curve Equation t 107100bk1 [0,0,0,-401171700,-624000673375] 2 107100bk2 [0,0,0,1567948425,-4938342867250] 2
107100bl (1 curve)	0	2- 3- 5+ 7- 17+	2- 3- 5+ 7-  3 -6 17+  0
Curve Equation t 107100bl1 [0,0,0,-125625,61590625] 1
107100bm (2 curves)	0	2- 3- 5+ 7- 17+	2- 3- 5+ 7-  4  2 17+ -6
Curve Equation t 107100bm1 [0,0,0,219289200,-955894172375] 2 107100bm2 [0,0,0,-1123802175,-8580623908250] 2
107100bn (2 curves)	0	2- 3- 5+ 7- 17+	2- 3- 5+ 7- -4  2 17+ -6
Curve Equation t 107100bn1 [0,0,0,31200,-8559875] 2 107100bn2 [0,0,0,-485175,-120613250] 2
107100bo (1 curve)	0	2- 3- 5+ 7- 17+	2- 3- 5+ 7-  5 -1 17+  3
Curve Equation t 107100bo1 [0,0,0,-553607400,-5013880971500] 1
107100bp (2 curves)	1	2- 3- 5+ 7- 17-	2- 3- 5+ 7-  0  6 17- -2
Curve Equation t Generators 107100bp1 [0,0,0,-95700,-478375] 2 [-130:3125:1] 107100bp2 [0,0,0,382425,-3825250] 2 [635:22250:1]
107100bq (2 curves)	1	2- 3- 5+ 7- 17-	2- 3- 5+ 7-  2  0 17- -2
Curve Equation t Generators 107100bq1 [0,0,0,-586200,147256625] 2 [1060:-26775:1] 107100bq2 [0,0,0,1039425,818639750] 2 [635:-41650:1]
107100br (1 curve)	1	2- 3- 5+ 7- 17-	2- 3- 5+ 7-  2 -2 17-  5
Curve Equation t Generators 107100br1 [0,0,0,110625,-29956250] 1 [1094:37422:1]
107100bs (2 curves)	1	2- 3- 5+ 7- 17-	2- 3- 5+ 7- -2  2 17-  0
Curve Equation t Generators 107100bs1 [0,0,0,-1809300,935652625] 2 [566:9639:1] 107100bs2 [0,0,0,-1313175,1460056750] 2 [615:-29750:1]
107100bt (1 curve)	1	2- 3- 5+ 7- 17-	2- 3- 5+ 7- -3  0 17- -2
Curve Equation t Generators 107100bt1 [0,0,0,-7320,-221020] 1 [-44:126:1]
107100bu (1 curve)	1	2- 3- 5+ 7- 17-	2- 3- 5+ 7-  5 -2 17- -4
Curve Equation t Generators 107100bu1 [0,0,0,-57360000,-84337737500] 1 [-2011:151263:1]
107100bv (1 curve)	1	2- 3- 5+ 7- 17-	2- 3- 5+ 7- -5 -2 17-  4
Curve Equation t Generators 107100bv1 [0,0,0,-45,-400815] 1 [384:7497:1]
107100bw (1 curve)	0	2- 3- 5- 7+ 17+	2- 3- 5- 7+  0  7 17+  4
Curve Equation t 107100bw1 [0,0,0,-80613000,-529176037500] 1
107100bx (1 curve)	0	2- 3- 5- 7+ 17+	2- 3- 5- 7+  2  2 17+  5
Curve Equation t 107100bx1 [0,0,0,4425,-239650] 1
107100by (1 curve)	0	2- 3- 5- 7+ 17+	2- 3- 5- 7+ -3  0 17+ -2
Curve Equation t 107100by1 [0,0,0,-183000,-27627500] 1
107100bz (2 curves)	0	2- 3- 5- 7+ 17+	2- 3- 5- 7+  4  4 17+  0
Curve Equation t 107100bz1 [0,0,0,-403500,84490625] 2 107100bz2 [0,0,0,-1770375,-824481250] 2
107100ca (2 curves)	0	2- 3- 5- 7+ 17+	2- 3- 5- 7+  4 -4 17+ -4
Curve Equation t 107100ca1 [0,0,0,-21300060,-37837230275] 2 107100ca2 [0,0,0,-21333135,-37713827450] 2
107100cb (2 curves)	0	2- 3- 5- 7+ 17+	2- 3- 5- 7+ -4  2 17+ -2
Curve Equation t 107100cb1 [0,0,0,-116940,-15438575] 2 107100cb2 [0,0,0,-1872615,-986326850] 2
107100cc (2 curves)	0	2- 3- 5- 7+ 17+	2- 3- 5- 7+ -4  2 17+ -2
Curve Equation t 107100cc1 [0,0,0,-196500,121328125] 2 107100cc2 [0,0,0,-5073375,4388593750] 2
107100cd (1 curve)	0	2- 3- 5- 7+ 17+	2- 3- 5- 7+  5  2 17+ -4
Curve Equation t 107100cd1 [0,0,0,-2294400,-674701900] 1
107100ce (1 curve)	0	2- 3- 5- 7+ 17+	2- 3- 5- 7+ -5  2 17+  4
Curve Equation t 107100ce1 [0,0,0,-1125,-50101875] 1
107100cf (2 curves)	2	2- 3- 5- 7+ 17+	2- 3- 5- 7+ -6 -2 17+  4
Curve Equation t Generators 107100cf1 [0,0,0,-360,2025] 2 [0:45:1]&[-20:35:1] 107100cf2 [0,0,0,-1935,-31050] 2 [-29:26:1]&[-21:18:1]
107100cg (1 curve)	1	2- 3- 5- 7+ 17-	2- 3- 5- 7+  0  1 17-  8
Curve Equation t Generators 107100cg1 [0,0,0,1320,204500] 1 [205:3015:1]
107100ch (2 curves)	1	2- 3- 5- 7+ 17-	2- 3- 5- 7+  0  4 17- -8
Curve Equation t Generators 107100ch1 [0,0,0,-12540,-540475] 2 [175:1620:1] 107100ch2 [0,0,0,-13215,-479050] 2 [-74:306:1]
107100ci (2 curves)	1	2- 3- 5- 7+ 17-	2- 3- 5- 7+  0 -4 17- -4
Curve Equation t Generators 107100ci1 [0,0,0,-61500,-3884375] 2 [-166:1323:1] 107100ci2 [0,0,0,-888375,-322231250] 2 [-541:198:1]
107100cj (1 curve)	1	2- 3- 5- 7+ 17-	2- 3- 5- 7+  3  6 17-  0
Curve Equation t Generators 107100cj1 [0,0,0,-5025,492725] 1 [-20:765:1]
107100ck (1 curve)	1	2- 3- 5- 7- 17+	2- 3- 5- 7-  0 -1 17+  8
Curve Equation t Generators 107100ck1 [0,0,0,33000,25562500] 1 [125:5625:1]
107100cl (2 curves)	1	2- 3- 5- 7- 17+	2- 3- 5- 7-  0  4 17+ -4
Curve Equation t Generators 107100cl1 [0,0,0,-2460,-31075] 2 [-29:126:1] 107100cl2 [0,0,0,-35535,-2577850] 2 [230:1190:1]
107100cm (2 curves)	1	2- 3- 5- 7- 17+	2- 3- 5- 7-  0 -4 17+ -8
Curve Equation t Generators 107100cm1 [0,0,0,-313500,-67559375] 2 [-324:49:1] 107100cm2 [0,0,0,-330375,-59881250] 2 [-421:2142:1]
107100cn (1 curve)	0	2- 3- 5- 7- 17-	2- 3- 5- 7-  0 -7 17-  4
Curve Equation t 107100cn1 [0,0,0,-3224520,-4233408300] 1
107100co (1 curve)	0	2- 3- 5- 7- 17-	2- 3- 5- 7- -1  4 17-  0
Curve Equation t 107100co1 [0,0,0,-85125,-12119375] 1
107100cp (2 curves)	0	2- 3- 5- 7- 17-	2- 3- 5- 7-  3 -4 17- -4
Curve Equation t 107100cp1 [0,0,0,-5025,-143075] 1 107100cp2 [0,0,0,26475,-319475] 3
107100cq (2 curves)	0	2- 3- 5- 7- 17-	2- 3- 5- 7- -3  2 17- -4
Curve Equation t 107100cq1 [0,0,0,-876000,283232500] 1 107100cq2 [0,0,0,-68916000,220205522500] 3
107100cr (2 curves)	0	2- 3- 5- 7- 17-	2- 3- 5- 7-  4  4 17- -4
Curve Equation t 107100cr1 [0,0,0,-532501500,-4729653784375] 2 107100cr2 [0,0,0,-533328375,-4714228431250] 2
107100cs (2 curves)	0	2- 3- 5- 7- 17-	2- 3- 5- 7-  4 -4 17-  0
Curve Equation t 107100cs1 [0,0,0,-16140,675925] 2 107100cs2 [0,0,0,-70815,-6595850] 2
107100ct (2 curves)	0	2- 3- 5- 7- 17-	2- 3- 5- 7- -4 -2 17- -2
Curve Equation t 107100ct1 [0,0,0,-2923500,-1929821875] 2 107100ct2 [0,0,0,-46815375,-123290856250] 2
107100cu (2 curves)	2	2- 3- 5- 7- 17-	2- 3- 5- 7- -4 -2 17- -2
Curve Equation t Generators 107100cu1 [0,0,0,-7860,970625] 2 [-116:567:1]&[-74:1071:1] 107100cu2 [0,0,0,-202935,35108750] 2 [-485:4410:1]&[334:-2142:1]
107100cv (1 curve)	0	2- 3- 5- 7- 17-	2- 3- 5- 7-  6 -2 17-  3
Curve Equation t 107100cv1 [0,0,0,-15375,773750] 1
107100cw (2 curves)	0	2- 3- 5- 7- 17-	2- 3- 5- 7- -6  2 17-  4
Curve Equation t 107100cw1 [0,0,0,-9000,253125] 2 107100cw2 [0,0,0,-48375,-3881250] 2

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