Cremona's table of elliptic curves

21672 = 2³ · 3² · 7 · 43

Class	r	Atkin-Lehner	Eigenvalues
21672a (2 curves)	1	2+ 3+ 7+ 43+	2+ 3+  2 7+ -2  2  0  0
Curve Equation t Generators 21672a1 [0,0,0,-18954,1005993] 2 [84:81:1] 21672a2 [0,0,0,-303399,64323450] 2 [75:6480:1]
21672b (1 curve)	1	2+ 3+ 7- 43-	2+ 3+ -3 7- -2  3 -1  7
Curve Equation t Generators 21672b1 [0,0,0,-1539,-22626] 1 [-174:189:8]
21672c (4 curves)	1	2+ 3- 7+ 43-	2+ 3-  2 7+ -4  2 -2  0
Curve Equation t Generators 21672c1 [0,0,0,-21159,-1382022] 2 [109522:1694888:343] 21672c2 [0,0,0,-353979,-81059130] 4 [578843902:7545511000:753571] 21672c3 [0,0,0,-369459,-73582290] 2 [57659932597979530:-747042175284049000:74794067166637] 21672c4 [0,0,0,-5663619,-5187870882] 2 [20394426815330750:-2362663305362367496:1471818359375]
21672d (2 curves)	1	2+ 3- 7+ 43-	2+ 3- -4 7+  4 -2 -6  0
Curve Equation t Generators 21672d1 [0,0,0,-327,7450] 2 [11:72:1] 21672d2 [0,0,0,-8067,278350] 2 [23:324:1]
21672e (4 curves)	1	2+ 3- 7- 43+	2+ 3- -2 7-  4 -2 -2  4
Curve Equation t Generators 21672e1 [0,0,0,-1146,13025] 2 [13:18:1] 21672e2 [0,0,0,-4791,-114550] 4 [1154:39130:1] 21672e3 [0,0,0,6549,-574954] 2 [73210:544869:1000] 21672e4 [0,0,0,-74451,-7818946] 2 [367:3780:1]
21672f (2 curves)	0	2- 3+ 7+ 43+	2- 3+ -2 7+  2  2  0  0
Curve Equation t 21672f1 [0,0,0,-2106,-37259] 2 21672f2 [0,0,0,-33711,-2382350] 2
21672g (1 curve)	0	2- 3+ 7- 43-	2- 3+  3 7-  2  3  1  7
Curve Equation t 21672g1 [0,0,0,-171,838] 1
21672h (2 curves)	1	2- 3- 7+ 43+	2- 3-  2 7+  0  2  8 -4
Curve Equation t Generators 21672h1 [0,0,0,-894,10285] 2 [-10:135:1] 21672h2 [0,0,0,-759,13498] 2 [9:86:1]
21672i (2 curves)	1	2- 3- 7+ 43+	2- 3- -2 7+ -4 -4  6  6
Curve Equation t Generators 21672i1 [0,0,0,-1011,13246] 2 [6:86:1] 21672i2 [0,0,0,-16491,815110] 2 [78:58:1]
21672j (1 curve)	1	2- 3- 7+ 43+	2- 3- -3 7+  6 -5  3  3
Curve Equation t Generators 21672j1 [0,0,0,-8139,111526] 1 [14:18:1]
21672k (1 curve)	1	2- 3- 7+ 43+	2- 3-  4 7+  5 -7  3 -6
Curve Equation t Generators 21672k1 [0,0,0,-2028,-43580] 1 [65:315:1]
21672l (1 curve)	0	2- 3- 7+ 43-	2- 3- -1 7+  4 -1 -3  1
Curve Equation t 21672l1 [0,0,0,-2523,-48746] 1
21672m (2 curves)	0	2- 3- 7+ 43-	2- 3-  2 7+  4  2  0  4
Curve Equation t 21672m1 [0,0,0,-174,24397] 2 21672m2 [0,0,0,-13719,612250] 2
21672n (2 curves)	0	2- 3- 7- 43+	2- 3-  0 7-  0  6  2 -8
Curve Equation t 21672n1 [0,0,0,1185,-14366] 2 21672n2 [0,0,0,-6555,-133562] 2
21672o (2 curves)	2	2- 3- 7- 43+	2- 3- -2 7-  0 -6  0 -4
Curve Equation t Generators 21672o1 [0,0,0,-44166,3572525] 2 [-122:2673:1]&[-71:2520:1] 21672o2 [0,0,0,-42951,3778346] 2 [-179:2394:1]&[-95:2646:1]
21672p (1 curve)	1	2- 3- 7- 43-	2- 3-  0 7- -1  3  7 -2
Curve Equation t Generators 21672p1 [0,0,0,60,6676] 1 [20:126:1]

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