Cremona's table of elliptic curves

21645 = 3² · 5 · 13 · 37

Class	r	Atkin-Lehner	Eigenvalues
21645a (1 curve)	0	3+ 5+ 13+ 37-	0 3+ 5+  0 -1 13+ -5  7
Curve Equation t 21645a1 [0,0,1,-558,-44837] 1
21645b (1 curve)	1	3+ 5- 13+ 37-	0 3+ 5-  0  1 13+  5  7
Curve Equation t Generators 21645b1 [0,0,1,-5022,1210592] 1 [132:1687:1]
21645c (2 curves)	0	3- 5+ 13+ 37+	-1 3- 5+  2  2 13+  2 -4
Curve Equation t 21645c1 [1,-1,1,-1232033,-482218144] 2 21645c2 [1,-1,1,1425172,-2280614488] 2
21645d (2 curves)	2	3- 5+ 13+ 37+	-1 3- 5+ -2 -2 13+ -6 -4
Curve Equation t Generators 21645d1 [1,-1,1,-2228,41006] 2 [-54:67:1]&[0:202:1] 21645d2 [1,-1,1,-1823,56072] 2 [-24:304:1]&[3:223:1]
21645e (2 curves)	1	3- 5+ 13+ 37-	1 3- 5+  0 -2 13+ -8  4
Curve Equation t Generators 21645e1 [1,-1,0,-16765245,18638867200] 2 [1691220:2198526890:1] 21645e2 [1,-1,0,44744130,123659974075] 2 [-2430:25265:1]
21645f (2 curves)	1	3- 5+ 13+ 37-	1 3- 5+ -2  0 13+  0  0
Curve Equation t Generators 21645f1 [1,-1,0,-2115,32656] 2 [48:176:1] 21645f2 [1,-1,0,-32490,2262181] 2 [108:11:1]
21645g (2 curves)	1	3- 5+ 13+ 37-	1 3- 5+ -2  0 13+ -6 -6
Curve Equation t Generators 21645g1 [1,-1,0,-541485,-153229784] 2 [14833646871014100:-1240305867020595446:2122319531051] 21645g2 [1,-1,0,-533880,-157748675] 2 [325292748:3542408603:357911]
21645h (6 curves)	0	3- 5+ 13- 37-	1 3- 5+  0  4 13-  6 -4
Curve Equation t 21645h1 [1,-1,0,-56610,-5169825] 2 21645h2 [1,-1,0,-60255,-4463424] 4 21645h3 [1,-1,0,134550,-27489375] 2 21645h4 [1,-1,0,-313380,63728451] 4 21645h5 [1,-1,0,256995,269405676] 2 21645h6 [1,-1,0,-4933755,4219293726] 4
21645i (4 curves)	0	3- 5+ 13- 37-	1 3- 5+  4  0 13-  6  4
Curve Equation t 21645i1 [1,-1,0,-9180,-295925] 2 21645i2 [1,-1,0,-37305,2477200] 4 21645i3 [1,-1,0,53820,12628525] 2 21645i4 [1,-1,0,-578430,169468375] 2
21645j (4 curves)	0	3- 5+ 13- 37-	1 3- 5+  4 -4 13- -2  8
Curve Equation t 21645j1 [1,-1,0,-5865,-171424] 2 21645j2 [1,-1,0,-5910,-168625] 4 21645j3 [1,-1,0,1695,-577774] 2 21645j4 [1,-1,0,-14235,419120] 2
21645k (1 curve)	1	3- 5- 13+ 37+	0 3- 5- -2  5 13+ -3  5
Curve Equation t Generators 21645k1 [0,0,1,-12,247] 1 [7:22:1]
21645l (4 curves)	1	3- 5- 13+ 37+	-1 3- 5-  0  0 13+  2  4
Curve Equation t Generators 21645l1 [1,-1,1,-887,-9714] 2 [-16:21:1] 21645l2 [1,-1,1,-2012,20886] 4 [59:294:1] 21645l3 [1,-1,1,6313,144096] 2 [1182:15967:8] 21645l4 [1,-1,1,-28337,1842576] 2 [862:987:8]
21645m (4 curves)	1	3- 5- 13+ 37+	-1 3- 5-  4  0 13+ -2 -4
Curve Equation t Generators 21645m1 [1,-1,1,-69917,2269316] 2 [21:889:1] 21645m2 [1,-1,1,-890042,323102216] 4 [4542:3647:8] 21645m3 [1,-1,1,-665267,490065086] 2 [-1798734:70541561:2744] 21645m4 [1,-1,1,-14236817,20679603446] 2 [1809800706:-888411359:830584]
21645n (4 curves)	1	3- 5- 13+ 37+	-1 3- 5- -4 -4 13+  2 -4
Curve Equation t Generators 21645n1 [1,-1,1,-8312,-286126] 2 [-48:46:1] 21645n2 [1,-1,1,-15917,325316] 4 [-54:1039:1] 21645n3 [1,-1,1,57208,2431316] 2 [141:3574:1] 21645n4 [1,-1,1,-210722,37260344] 2 [-198:8536:1]
21645o (1 curve)	1	3- 5- 13+ 37+	-2 3- 5- -1  1 13+  4  0
Curve Equation t Generators 21645o1 [0,0,1,-49737,-4086810] 1 [-132:422:1]
21645p (1 curve)	0	3- 5- 13+ 37-	2 3- 5- -1  3 13+  8 -6
Curve Equation t 21645p1 [0,0,1,-147,-455] 1

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