Cremona's table of elliptic curves

21420 = 2² · 3² · 5 · 7 · 17

Class	r	Atkin-Lehner	Eigenvalues
21420a (2 curves)	1	2- 3+ 5+ 7+ 17-	2- 3+ 5+ 7+  2  2 17- -2
Curve Equation t Generators 21420a1 [0,0,0,-1728,26973] 2 [-41:170:1] 21420a2 [0,0,0,-4023,-59778] 2 [702:18522:1]
21420b (2 curves)	1	2- 3+ 5+ 7+ 17-	2- 3+ 5+ 7+ -4  4 17-  6
Curve Equation t Generators 21420b1 [0,0,0,-2148,-37903] 2 [-28:17:1] 21420b2 [0,0,0,-4023,38222] 2 [-61:238:1]
21420c (2 curves)	1	2- 3+ 5+ 7+ 17-	2- 3+ 5+ 7+ -4 -4 17- -2
Curve Equation t Generators 21420c1 [0,0,0,-2142035388,-38158217199387] 2 [-545300159114726745372989024007989962072651541340114037033556:-3521109126032386188193620351713130988203319255545079223:20407177431842094726029262179749619256941749057827567808] 21420c2 [0,0,0,-2142036063,-38158191948042] 2 [-888565967172304994133135518058:-201075939824359138011418666446:33242093320712575365800369]
21420d (4 curves)	0	2- 3+ 5+ 7- 17-	2- 3+ 5+ 7-  6  2 17-  2
Curve Equation t 21420d1 [0,0,0,-13488,-395663] 6 21420d2 [0,0,0,-87183,9612118] 6 21420d3 [0,0,0,-984528,-376002027] 2 21420d4 [0,0,0,-986823,-374160978] 2
21420e (2 curves)	1	2- 3+ 5- 7+ 17+	2- 3+ 5- 7+ -2  2 17+ -2
Curve Equation t Generators 21420e1 [0,0,0,-192,-999] 2 [-8:5:1] 21420e2 [0,0,0,-447,2214] 2 [-17:70:1]
21420f (2 curves)	1	2- 3+ 5- 7+ 17+	2- 3+ 5- 7+  4  4 17+  6
Curve Equation t Generators 21420f1 [0,0,0,-19332,1023381] 2 [67:170:1] 21420f2 [0,0,0,-36207,-1031994] 2 [582:13230:1]
21420g (2 curves)	1	2- 3+ 5- 7+ 17+	2- 3+ 5- 7+  4 -4 17+ -2
Curve Equation t Generators 21420g1 [0,0,0,-238003932,1413267303681] 2 [8662:39865:1] 21420g2 [0,0,0,-238004007,1413266368446] 2 [2971045:13670278:343]
21420h (4 curves)	0	2- 3+ 5- 7- 17+	2- 3+ 5- 7- -6  2 17+  2
Curve Equation t 21420h1 [0,0,0,-109392,13926001] 6 21420h2 [0,0,0,-109647,13857814] 6 21420h3 [0,0,0,-121392,10682901] 2 21420h4 [0,0,0,-784647,-259527186] 2
21420i (2 curves)	1	2- 3- 5+ 7+ 17+	2- 3- 5+ 7+  0 -6 17+ -2
Curve Equation t Generators 21420i1 [0,0,0,-3828,-3827] 2 [203:2754:1] 21420i2 [0,0,0,15297,-30602] 2 [86:1386:1]
21420j (2 curves)	1	2- 3- 5+ 7+ 17+	2- 3- 5+ 7+  2  0 17+ -2
Curve Equation t Generators 21420j1 [0,0,0,-23448,1178053] 2 [119:270:1] 21420j2 [0,0,0,41577,6549118] 2 [3998:253134:1]
21420k (1 curve)	0	2- 3- 5+ 7+ 17-	2- 3- 5+ 7+  2  1 17-  6
Curve Equation t 21420k1 [0,0,0,-15888,3441188] 1
21420l (2 curves)	0	2- 3- 5+ 7+ 17-	2- 3- 5+ 7+ -2 -6 17-  8
Curve Equation t 21420l1 [0,0,0,-16046868,-4992005387] 2 21420l2 [0,0,0,62717937,-39506742938] 2
21420m (2 curves)	0	2- 3- 5+ 7- 17+	2- 3- 5+ 7-  0  6 17+  6
Curve Equation t 21420m1 [0,0,0,-48,1573] 2 21420m2 [0,0,0,-2343,43342] 2
21420n (2 curves)	0	2- 3- 5+ 7- 17+	2- 3- 5+ 7- -2  0 17+ -6
Curve Equation t 21420n1 [0,0,0,-33372408,74201711393] 2 21420n2 [0,0,0,-31746783,81755340518] 2
21420o (1 curve)	0	2- 3- 5+ 7- 17+	2- 3- 5+ 7- -2 -5 17+ -6
Curve Equation t 21420o1 [0,0,0,-768,-8332] 1
21420p (2 curves)	0	2- 3- 5+ 7- 17+	2- 3- 5+ 7-  4 -2 17+  6
Curve Equation t 21420p1 [0,0,0,-119388,-9920563] 2 21420p2 [0,0,0,358737,-69494938] 2
21420q (4 curves)	1	2- 3- 5+ 7- 17-	2- 3- 5+ 7-  0 -4 17- -4
Curve Equation t Generators 21420q1 [0,0,0,-5808,-164243] 2 [754:2835:8] 21420q2 [0,0,0,2697,-604802] 2 [81290:389367:1000] 21420q3 [0,0,0,-70608,7172737] 6 [-298:1323:1] 21420q4 [0,0,0,-24303,16442998] 6 [-277:1386:1]
21420r (2 curves)	1	2- 3- 5+ 7- 17-	2- 3- 5+ 7-  2 -2 17-  0
Curve Equation t Generators 21420r1 [0,0,0,-147468,-21272267] 2 [3538:693:8] 21420r2 [0,0,0,31137,-69531338] 2 [4110326:1004031:10648]
21420s (2 curves)	1	2- 3- 5+ 7- 17-	2- 3- 5+ 7- -6  5 17-  2
Curve Equation t Generators 21420s1 [0,0,0,312,-1388] 1 [53:405:1] 21420s2 [0,0,0,-3288,94372] 3 [-16:378:1]
21420t (2 curves)	0	2- 3- 5- 7+ 17+	2- 3- 5- 7+ -2 -2 17+  0
Curve Equation t 21420t1 [0,0,0,-72372,7485221] 2 21420t2 [0,0,0,-52527,11680454] 2
21420u (2 curves)	1	2- 3- 5- 7+ 17-	2- 3- 5- 7+  4 -2 17- -6
Curve Equation t Generators 21420u1 [0,0,0,8771568,-7647153379] 2 [9040291823024:-969315577501905:841232384] 21420u2 [0,0,0,-44952087,-68644991266] 2 [-1248184:83274075:512]
21420v (2 curves)	1	2- 3- 5- 7+ 17-	2- 3- 5- 7+ -4 -2 17- -6
Curve Equation t Generators 21420v1 [0,0,0,1248,-68479] 2 [82:765:1] 21420v2 [0,0,0,-19407,-964906] 2 [-77:270:1]
21420w (4 curves)	1	2- 3- 5- 7- 17+	2- 3- 5- 7-  0 -4 17+ -4
Curve Equation t Generators 21420w1 [0,0,0,-1429032,342873781] 2 [9106:110565:8] 21420w2 [0,0,0,4771113,2521604734] 2 [-4558502:-625548825:17576] 21420w3 [0,0,0,-99581592,382486927849] 6 [-10117:595350:1] 21420w4 [0,0,0,-99164847,385846976086] 6 [2847:355810:1]
21420x (2 curves)	1	2- 3- 5- 7- 17+	2- 3- 5- 7- -2  6 17+  0
Curve Equation t Generators 21420x1 [0,0,0,-5052,89129] 2 [208:-2835:1] 21420x2 [0,0,0,14793,617006] 2 [47:1190:1]
21420y (2 curves)	1	2- 3- 5- 7- 17+	2- 3- 5- 7-  4  0 17+ -4
Curve Equation t Generators 21420y1 [0,0,0,-192,-191] 2 [-10:27:1] 21420y2 [0,0,0,753,-1514] 2 [11:90:1]
21420z (4 curves)	0	2- 3- 5- 7- 17-	2- 3- 5- 7-  0  2 17-  2
Curve Equation t 21420z1 [0,0,0,3768,-42779] 2 21420z2 [0,0,0,-16887,-360866] 2 21420z3 [0,0,0,-41592,3973849] 6 21420z4 [0,0,0,-704847,227756086] 6

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