Cremona's table of elliptic curves

100368 = 2⁴ · 3² · 17 · 41

Class	r	Atkin-Lehner	Eigenvalues
100368a (1 curve)	1	2+ 3+ 17+ 41+	2+ 3+  3  3  4  0 17+ -4
Curve Equation t Generators 100368a1 [0,0,0,2349,-229662] 1 [67:478:1]
100368b (1 curve)	1	2+ 3+ 17+ 41+	2+ 3+ -3 -3  6 -2 17+  2
Curve Equation t Generators 100368b1 [0,0,0,-54,-729] 1 [135:1566:1]
100368c (1 curve)	2	2+ 3+ 17+ 41-	2+ 3+  1  1 -4 -4 17+  0
Curve Equation t Generators 100368c1 [0,0,0,-3507,79938] 1 [19:142:1]&[33:12:1]
100368d (1 curve)	0	2+ 3+ 17+ 41-	2+ 3+ -1  5 -2  6 17+  2
Curve Equation t 100368d1 [0,0,0,-5103,148446] 1
100368e (1 curve)	0	2+ 3+ 17- 41+	2+ 3+  1  5  2  6 17-  2
Curve Equation t 100368e1 [0,0,0,-567,-5498] 1
100368f (1 curve)	0	2+ 3+ 17- 41+	2+ 3+ -1  1  4 -4 17-  0
Curve Equation t 100368f1 [0,0,0,-31563,-2158326] 1
100368g (1 curve)	1	2+ 3+ 17- 41-	2+ 3+  3 -3 -6 -2 17-  2
Curve Equation t Generators 100368g1 [0,0,0,-6,27] 1 [3:6:1]
100368h (1 curve)	1	2+ 3+ 17- 41-	2+ 3+ -3  3 -4  0 17- -4
Curve Equation t Generators 100368h1 [0,0,0,261,8506] 1 [35:-246:1]
100368i (1 curve)	0	2+ 3- 17+ 41+	2+ 3-  1 -1  6 -6 17+  4
Curve Equation t 100368i1 [0,0,0,-1227,-23798] 1
100368j (1 curve)	0	2+ 3- 17+ 41+	2+ 3-  1 -4 -1  3 17+  2
Curve Equation t 100368j1 [0,0,0,-1227,-31142] 1
100368k (1 curve)	0	2+ 3- 17+ 41+	2+ 3- -1 -1  0 -4 17+ -6
Curve Equation t 100368k1 [0,0,0,-77583,-8896354] 1
100368l (2 curves)	0	2+ 3- 17+ 41+	2+ 3-  2  2  2 -6 17+  4
Curve Equation t 100368l1 [0,0,0,-85719,9659702] 2 100368l2 [0,0,0,-85539,9702290] 2
100368m (1 curve)	0	2+ 3- 17+ 41+	2+ 3-  2 -3  4 -2 17+  6
Curve Equation t 100368m1 [0,0,0,-1119,-14407] 1
100368n (1 curve)	0	2+ 3- 17+ 41+	2+ 3-  2  5 -4 -6 17+ -2
Curve Equation t 100368n1 [0,0,0,-4179,-96127] 1
100368o (1 curve)	0	2+ 3- 17+ 41+	2+ 3- -2 -1 -4  0 17+  2
Curve Equation t 100368o1 [0,0,0,-77151,7257049] 1
100368p (2 curves)	0	2+ 3- 17+ 41+	2+ 3- -4  0  4  4 17+  6
Curve Equation t 100368p1 [0,0,0,-19587,687890] 2 100368p2 [0,0,0,-282027,57637370] 2
100368q (1 curve)	1	2+ 3- 17+ 41-	2+ 3-  3 -3 -6  2 17+  0
Curve Equation t Generators 100368q1 [0,0,0,-883011,-506427118] 1 [2203:90774:1]
100368r (1 curve)	1	2+ 3- 17+ 41-	2+ 3- -3 -5  0  4 17+  2
Curve Equation t Generators 100368r1 [0,0,0,-9534,-358369] 1 [1063:34506:1]
100368s (1 curve)	1	2+ 3- 17+ 41-	2+ 3-  4  1 -4  2 17+  0
Curve Equation t Generators 100368s1 [0,0,0,-63,-135] 1 [-570:775:216]
100368t (1 curve)	1	2+ 3- 17- 41+	2+ 3-  0  3 -4  6 17- -4
Curve Equation t Generators 100368t1 [0,0,0,-2595,50569] 1 [1092:6791:64]
100368u (1 curve)	1	2+ 3- 17- 41+	2+ 3-  0 -3  0 -4 17-  0
Curve Equation t Generators 100368u1 [0,0,0,-75,209] 1 [8:11:1]
100368v (1 curve)	1	2+ 3- 17- 41+	2+ 3- -1 -3  0 -4 17-  2
Curve Equation t Generators 100368v1 [0,0,0,177,286] 1 [5:36:1]
100368w (1 curve)	1	2+ 3- 17- 41+	2+ 3-  3  1  0  0 17-  2
Curve Equation t Generators 100368w1 [0,0,0,-10760871,13705859158] 1 [4517:239292:1]
100368x (2 curves)	0	2+ 3- 17- 41-	2+ 3-  0  0  0  4 17-  2
Curve Equation t 100368x1 [0,0,0,-2115,-37422] 2 100368x2 [0,0,0,-2475,-23814] 2
100368y (2 curves)	0	2+ 3- 17- 41-	2+ 3-  0 -4  4  0 17- -4
Curve Equation t 100368y1 [0,0,0,-18795,-991766] 2 100368y2 [0,0,0,-18435,-1031582] 2
100368z (4 curves)	0	2+ 3- 17- 41-	2+ 3-  2  0 -4 -6 17-  8
Curve Equation t 100368z1 [0,0,0,-2199,39382] 2 100368z2 [0,0,0,-3819,-26390] 4 100368z3 [0,0,0,14541,-206318] 2 100368z4 [0,0,0,-48099,-4055870] 2
100368ba (4 curves)	0	2+ 3- 17- 41-	2+ 3- -2  0 -4 -2 17-  0
Curve Equation t 100368ba1 [0,0,0,2454,-17521] 2 100368ba2 [0,0,0,-10551,-144970] 4 100368ba3 [0,0,0,-93171,10843490] 4 100368ba4 [0,0,0,-136011,-19290166] 2
100368bb (2 curves)	2	2+ 3- 17- 41-	2+ 3- -2 -4 -2  0 17- -2
Curve Equation t Generators 100368bb1 [0,0,0,-35571,2582210] 2 [37891:-9792:343]&[59:830:1] 100368bb2 [0,0,0,-35931,2527274] 2 [-65:2142:1]&[71:578:1]
100368bc (1 curve)	0	2+ 3- 17- 41-	2+ 3-  3 -1 -2 -6 17- -4
Curve Equation t 100368bc1 [0,0,0,902949,65745178] 1
100368bd (2 curves)	0	2- 3+ 17+ 41+	2- 3+  2 -4  0 -6 17+  2
Curve Equation t 100368bd1 [0,0,0,216,-2673] 2 100368bd2 [0,0,0,-2079,-31590] 2
100368be (2 curves)	0	2- 3+ 17+ 41+	2- 3+ -2  0  4 -2 17+ -4
Curve Equation t 100368be1 [0,0,0,-216,-4725] 2 100368be2 [0,0,0,-5751,-167454] 2
100368bf (1 curve)	1	2- 3+ 17+ 41-	2- 3+ -3  1  0 -4 17+  4
Curve Equation t Generators 100368bf1 [0,0,0,-99,-926] 1 [17:48:1]
100368bg (1 curve)	1	2- 3+ 17- 41+	2- 3+  3  1  0 -4 17-  4
Curve Equation t Generators 100368bg1 [0,0,0,-891,25002] 1 [93:864:1]
100368bh (2 curves)	0	2- 3+ 17- 41-	2- 3+  2  0 -4 -2 17- -4
Curve Equation t 100368bh1 [0,0,0,-24,175] 2 100368bh2 [0,0,0,-639,6202] 2
100368bi (2 curves)	0	2- 3+ 17- 41-	2- 3+ -2 -4  0 -6 17-  2
Curve Equation t 100368bi1 [0,0,0,24,99] 2 100368bi2 [0,0,0,-231,1170] 2
100368bj (2 curves)	1	2- 3- 17+ 41+	2- 3-  0  0 -4  0 17+ -2
Curve Equation t Generators 100368bj1 [0,0,0,-2955,-47558] 2 [-27:112:1] 100368bj2 [0,0,0,-15915,732634] 2 [-67:1224:1]
100368bk (1 curve)	1	2- 3- 17+ 41+	2- 3-  1  3  4  2 17+ -6
Curve Equation t Generators 100368bk1 [0,0,0,-12,-713] 1 [3983:9162:343]
100368bl (2 curves)	1	2- 3- 17+ 41+	2- 3-  2  0  4 -2 17+ -6
Curve Equation t Generators 100368bl1 [0,0,0,-1899,30618] 2 [-11:224:1] 100368bl2 [0,0,0,981,115290] 2 [7:350:1]
100368bm (1 curve)	1	2- 3- 17+ 41+	2- 3-  2  3  4 -2 17+ -6
Curve Equation t Generators 100368bm1 [0,0,0,-5409,-153117] 1 [27261001082:207772949287:234885113]
100368bn (4 curves)	1	2- 3- 17+ 41+	2- 3- -2  0  4  2 17+  0
Curve Equation t Generators 100368bn1 [0,0,0,-1524531,724523506] 2 [425:12384:1] 100368bn2 [0,0,0,-1527411,721648690] 4 [423:12298:1] 100368bn3 [0,0,0,-523731,1656074770] 2 [1667061:72474350:1331] 100368bn4 [0,0,0,-2577171,-396765614] 2 [-435357:22634942:2197]
100368bo (2 curves)	1	2- 3- 17+ 41+	2- 3- -2 -4  0 -6 17+ -6
Curve Equation t Generators 100368bo1 [0,0,0,-600411,-179043766] 2 [-451:88:1] 100368bo2 [0,0,0,-542091,-215213830] 2 [1007:16126:1]
100368bp (1 curve)	1	2- 3- 17+ 41+	2- 3- -3  3  2 -6 17+ -8
Curve Equation t Generators 100368bp1 [0,0,0,-23259,31173514] 1 [11165:1179648:1]
100368bq (2 curves)	2	2- 3- 17+ 41-	2- 3-  0  1  0 -4 17+ -8
Curve Equation t Generators 100368bq1 [0,0,0,-345,803] 1 [2:11:1]&[26:97:1] 100368bq2 [0,0,0,-15645,-753181] 1 [-4636:-205:64]&[34298:6351851:1]
100368br (1 curve)	0	2- 3- 17+ 41-	2- 3-  3 -2  3 -1 17+  4
Curve Equation t 100368br1 [0,0,0,-6771,236338] 1
100368bs (2 curves)	0	2- 3- 17- 41+	2- 3-  3 -2 -3 -7 17-  4
Curve Equation t 100368bs1 [0,0,0,-8931,-412702] 1 100368bs2 [0,0,0,-776451,-263341438] 1
100368bt (2 curves)	0	2- 3- 17- 41+	2- 3- -3  1  6  2 17-  4
Curve Equation t 100368bt1 [0,0,0,286133181,139553054786] 1 100368bt2 [0,0,0,-3743701059,-95785856035774] 1
100368bu (2 curves)	1	2- 3- 17- 41-	2- 3-  0  0  0  4 17-  6
Curve Equation t Generators 100368bu1 [0,0,0,-100395,11388762] 2 [519:9954:1] 100368bu2 [0,0,0,-1574955,760760154] 2 [-107:30464:1]
100368bv (2 curves)	1	2- 3- 17- 41-	2- 3-  0  2  0 -2 17- -4
Curve Equation t Generators 100368bv1 [0,0,0,-765435,-257700566] 2 [3484410:-24452072:3375] 100368bv2 [0,0,0,-673275,-322083542] 2 [79221:4091390:27]
100368bw (1 curve)	1	2- 3- 17- 41-	2- 3- -1  3  2  2 17-  0
Curve Equation t Generators 100368bw1 [0,0,0,-61563,-5890646] 1 [222635:5174784:343]
100368bx (1 curve)	1	2- 3- 17- 41-	2- 3- -1  3  2 -2 17-  8
Curve Equation t Generators 100368bx1 [0,0,0,-18723,6665506] 1 [113:-2448:1]
100368by (2 curves)	1	2- 3- 17- 41-	2- 3-  2  0  2 -4 17-  6
Curve Equation t Generators 100368by1 [0,0,0,-16564539,16331146090] 2 [2722692:559059025:64] 100368by2 [0,0,0,-110936379,-437767273622] 2 [-53598:551327:8]
100368bz (1 curve)	1	2- 3- 17- 41-	2- 3-  2  3 -4 -4 17-  6
Curve Equation t Generators 100368bz1 [0,0,0,-129,547] 1 [18:131:8]
100368ca (2 curves)	1	2- 3- 17- 41-	2- 3-  2 -4  0  2 17- -2
Curve Equation t Generators 100368ca1 [0,0,0,-1659,-16918] 2 [-19:88:1] 100368ca2 [0,0,0,4821,-116710] 2 [143:1870:1]
100368cb (2 curves)	1	2- 3- 17- 41-	2- 3- -2  2  0  0 17- -4
Curve Equation t Generators 100368cb1 [0,0,0,-34011,-2396790] 2 [262:2584:1] 100368cb2 [0,0,0,-10971,-5590134] 2 [351:5814:1]
100368cc (2 curves)	1	2- 3- 17- 41-	2- 3-  3  1  0  2 17- -2
Curve Equation t Generators 100368cc1 [0,0,0,924,15923] 1 [905:18954:125] 100368cc2 [0,0,0,-8796,-589633] 1 [193:2214:1]
100368cd (1 curve)	1	2- 3- 17- 41-	2- 3-  3 -1  0 -2 17-  2
Curve Equation t Generators 100368cd1 [0,0,0,-66396,-6585437] 1 [177505:6570126:125]
100368ce (1 curve)	1	2- 3- 17- 41-	2- 3- -3  0 -3  1 17-  6
Curve Equation t Generators 100368ce1 [0,0,0,261,-2646] 1 [55:422:1]
100368cf (2 curves)	1	2- 3- 17- 41-	2- 3-  4  4 -4 -4 17-  8
Curve Equation t Generators 100368cf1 [0,0,0,-17283,848770] 2 [15:770:1] 100368cf2 [0,0,0,5757,2945410] 2 [545:12960:1]
100368cg (2 curves)	1	2- 3- 17- 41-	2- 3- -4  0  2 -2 17-  8
Curve Equation t Generators 100368cg1 [0,0,0,-87267,-9912350] 2 [354:1886:1] 100368cg2 [0,0,0,-110307,-4267550] 2 [719:16974:1]

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