Cremona's table of elliptic curves

13120 = 2⁶ · 5 · 41

Class	r	Atkin-Lehner	Eigenvalues
13120a (2 curves)	1	2+ 5+ 41+	2+  0 5+  2 -4 -4  2  8
Curve Equation t Generators 13120a1 [0,0,0,-91628,10675248] 2 [149:575:1] 13120a2 [0,0,0,-87628,11649648] 2 [181:1311:1]
13120b (2 curves)	1	2+ 5+ 41+	2+  2 5+  2  0  0 -4  8
Curve Equation t Generators 13120b1 [0,-1,0,-81,-175] 2 [11:12:1] 13120b2 [0,-1,0,-481,4065] 2 [384:7503:1]
13120c (4 curves)	1	2+ 5+ 41+	2+  2 5+  2  0  4  0 -8
Curve Equation t Generators 13120c1 [0,-1,0,-10721,423521] 2 [1033:33024:1] 13120c2 [0,-1,0,-170721,27207521] 2 [28641:870148:27] 13120c3 [0,-1,0,-98721,-11725279] 2 [-146897313:340689860:804357] 13120c4 [0,-1,0,-201121,16885281] 2 [1447930709510649:-43286425296724772:1355469437763]
13120d (2 curves)	1	2+ 5+ 41+	2+  2 5+ -2  0  0  8  0
Curve Equation t Generators 13120d1 [0,-1,0,-221,-979] 2 [471:352:27] 13120d2 [0,-1,0,-1041,12305] 2 [41:192:1]
13120e (2 curves)	1	2+ 5+ 41+	2+ -2 5+  2  0  4  4  0
Curve Equation t Generators 13120e1 [0,1,0,-161,-65] 2 [-3:20:1] 13120e2 [0,1,0,-1761,27775] 2 [29:44:1]
13120f (2 curves)	1	2+ 5+ 41+	2+ -2 5+  2  4 -4  4 -4
Curve Equation t Generators 13120f1 [0,1,0,-61,99] 2 [7:8:1] 13120f2 [0,1,0,-881,9775] 2 [19:16:1]
13120g (2 curves)	1	2+ 5+ 41+	2+ -2 5+  4 -6  4 -6 -6
Curve Equation t Generators 13120g1 [0,1,0,-321,-1121] 2 [-13:32:1] 13120g2 [0,1,0,-4321,-110721] 2 [-38:7:1]
13120h (4 curves)	2	2+ 5+ 41-	2+  0 5+  0 -4 -6 -2 -4
Curve Equation t Generators 13120h1 [0,0,0,-188,-112] 2 [-11:25:1]&[-4:24:1] 13120h2 [0,0,0,-2188,-39312] 4 [-27:9:1]&[72:420:1] 13120h3 [0,0,0,-34988,-2518992] 2 [216:36:1]&[5634:143583:8] 13120h4 [0,0,0,-1388,-68432] 2 [93:779:1]&[133:1449:1]
13120i (2 curves)	0	2+ 5+ 41-	2+  0 5+  2  2  2 -4  2
Curve Equation t 13120i1 [0,0,0,-125228,-13741648] 2 13120i2 [0,0,0,-625228,178058352] 2
13120j (2 curves)	0	2+ 5+ 41-	2+  0 5+ -2  6  2  8  6
Curve Equation t 13120j1 [0,0,0,-908,8432] 2 13120j2 [0,0,0,-13708,617712] 2
13120k (4 curves)	0	2+ 5+ 41-	2+  0 5+  4  0  2  2  0
Curve Equation t 13120k1 [0,0,0,-88748,-9649872] 2 13120k2 [0,0,0,-1399468,-637222608] 4 13120k3 [0,0,0,-22391468,-40782323408] 2 13120k4 [0,0,0,-1378988,-656776912] 2
13120l (4 curves)	2	2+ 5+ 41-	2+  0 5+ -4  0  2 -6  0
Curve Equation t Generators 13120l1 [0,0,0,-1388,19888] 2 [-3:155:1]&[4:120:1] 13120l2 [0,0,0,-1708,10032] 4 [-43:63:1]&[-26:192:1] 13120l3 [0,0,0,-14828,-687952] 2 [-74:64:1]&[-67:69:1] 13120l4 [0,0,0,6292,77232] 2 [29:533:1]&[86:1120:1]
13120m (2 curves)	0	2+ 5+ 41-	2+  2 5+  4  4  2  0  0
Curve Equation t 13120m1 [0,-1,0,-41,41] 2 13120m2 [0,-1,0,159,161] 2
13120n (2 curves)	2	2+ 5+ 41-	2+ -2 5+ -4 -4  2  0  0
Curve Equation t Generators 13120n1 [0,1,0,-41,-41] 2 [-6:5:1]&[-5:8:1] 13120n2 [0,1,0,159,-161] 2 [2:13:1]&[5:28:1]
13120o (2 curves)	0	2+ 5- 41+	2+  0 5-  4  2 -4 -4  6
Curve Equation t 13120o1 [0,0,0,-7,-36] 2 13120o2 [0,0,0,-212,-1184] 2
13120p (2 curves)	2	2+ 5- 41+	2+  0 5- -4 -2 -4 -4 -6
Curve Equation t Generators 13120p1 [0,0,0,-7,36] 2 [0:6:1]&[18:45:8] 13120p2 [0,0,0,-212,1184] 2 [-10:48:1]&[-2:40:1]
13120q (2 curves)	0	2+ 5- 41+	2+  2 5- -2 -4  2  6  0
Curve Equation t 13120q1 [0,-1,0,1200,46250] 2 13120q2 [0,-1,0,-14425,605625] 2
13120r (2 curves)	0	2+ 5- 41+	2+ -2 5-  2  4  2  6  0
Curve Equation t 13120r1 [0,1,0,1200,-46250] 2 13120r2 [0,1,0,-14425,-605625] 2
13120s (2 curves)	1	2+ 5- 41-	2+  2 5- -2 -2  6 -6  2
Curve Equation t Generators 13120s1 [0,-1,0,-1025,1025] 2 [-8:93:1] 13120s2 [0,-1,0,4095,4097] 2 [449:9600:1]
13120t (2 curves)	1	2+ 5- 41-	2+ -2 5-  2 -6 -2  2  6
Curve Equation t Generators 13120t1 [0,1,0,-1345,-19425] 2 [-22:1:1] 13120t2 [0,1,0,-1025,-28577] 2 [91:800:1]
13120u (2 curves)	0	2- 5+ 41+	2-  0 5+ -2  4 -4  2 -8
Curve Equation t 13120u1 [0,0,0,-91628,-10675248] 2 13120u2 [0,0,0,-87628,-11649648] 2
13120v (2 curves)	0	2- 5+ 41+	2-  2 5+ -2  0  4  4  0
Curve Equation t 13120v1 [0,-1,0,-161,65] 2 13120v2 [0,-1,0,-1761,-27775] 2
13120w (2 curves)	0	2- 5+ 41+	2-  2 5+ -2 -4 -4  4  4
Curve Equation t 13120w1 [0,-1,0,-61,-99] 2 13120w2 [0,-1,0,-881,-9775] 2
13120x (2 curves)	0	2- 5+ 41+	2-  2 5+ -4  2  4 -2  2
Curve Equation t 13120x1 [0,-1,0,-1721,25145] 2 13120x2 [0,-1,0,-26721,1690145] 2
13120y (2 curves)	0	2- 5+ 41+	2-  2 5+ -4  6  4 -6  6
Curve Equation t 13120y1 [0,-1,0,-321,1121] 2 13120y2 [0,-1,0,-4321,110721] 2
13120z (2 curves)	0	2- 5+ 41+	2- -2 5+  2  0  0  8  0
Curve Equation t 13120z1 [0,1,0,-221,979] 2 13120z2 [0,1,0,-1041,-12305] 2
13120ba (2 curves)	2	2- 5+ 41+	2- -2 5+ -2  0  0 -4 -8
Curve Equation t Generators 13120ba1 [0,1,0,-81,175] 2 [-9:16:1]&[-3:20:1] 13120ba2 [0,1,0,-481,-4065] 2 [-14:11:1]&[-11:4:1]
13120bb (4 curves)	0	2- 5+ 41+	2- -2 5+ -2  0  4  0  8
Curve Equation t 13120bb1 [0,1,0,-10721,-423521] 2 13120bb2 [0,1,0,-170721,-27207521] 2 13120bb3 [0,1,0,-98721,11725279] 2 13120bb4 [0,1,0,-201121,-16885281] 2
13120bc (2 curves)	0	2- 5+ 41+	2- -2 5+  4 -2  4 -2 -2
Curve Equation t 13120bc1 [0,1,0,-1721,-25145] 2 13120bc2 [0,1,0,-26721,-1690145] 2
13120bd (4 curves)	1	2- 5+ 41-	2-  0 5+  0  4 -6 -2  4
Curve Equation t Generators 13120bd1 [0,0,0,-188,112] 2 [-6:32:1] 13120bd2 [0,0,0,-2188,39312] 4 [44:168:1] 13120bd3 [0,0,0,-34988,2518992] 2 [23622:5327:216] 13120bd4 [0,0,0,-1388,68432] 2 [-11:287:1]
13120be (2 curves)	1	2- 5+ 41-	2-  0 5+  2 -2 -2  0  6
Curve Equation t Generators 13120be1 [0,0,0,-68,192] 2 [-4:20:1] 13120be2 [0,0,0,-268,-1488] 2 [-8:12:1]
13120bf (2 curves)	1	2- 5+ 41-	2-  0 5+  2 -6  2  8 -6
Curve Equation t Generators 13120bf1 [0,0,0,-908,-8432] 2 [-11:15:1] 13120bf2 [0,0,0,-13708,-617712] 2 [1408:52644:1]
13120bg (2 curves)	1	2- 5+ 41-	2-  0 5+ -2  2 -2  0 -6
Curve Equation t Generators 13120bg1 [0,0,0,-68,-192] 2 [-4:4:1] 13120bg2 [0,0,0,-268,1488] 2 [16:36:1]
13120bh (2 curves)	1	2- 5+ 41-	2-  0 5+ -2 -2  2 -4 -2
Curve Equation t Generators 13120bh1 [0,0,0,-125228,13741648] 2 [-14:3936:1] 13120bh2 [0,0,0,-625228,-178058352] 2 [928:6396:1]
13120bi (4 curves)	1	2- 5+ 41-	2-  0 5+  4  0  2 -6  0
Curve Equation t Generators 13120bi1 [0,0,0,-1388,-19888] 2 [76:560:1] 13120bi2 [0,0,0,-1708,-10032] 4 [10852:136899:64] 13120bi3 [0,0,0,-14828,687952] 2 [-86:1152:1] 13120bi4 [0,0,0,6292,-77232] 2 [668:17384:1]
13120bj (4 curves)	1	2- 5+ 41-	2-  0 5+ -4  0  2  2  0
Curve Equation t Generators 13120bj1 [0,0,0,-88748,9649872] 2 [236:1360:1] 13120bj2 [0,0,0,-1399468,637222608] 4 [91172:2507109:64] 13120bj3 [0,0,0,-22391468,40782323408] 2 [554:168960:1] 13120bj4 [0,0,0,-1378988,656776912] 2 [-708:35752:1]
13120bk (2 curves)	0	2- 5- 41-	2-  2 5-  2 -2 -2  2  2
Curve Equation t 13120bk1 [0,-1,0,-340,2562] 2 13120bk2 [0,-1,0,-5465,157337] 2
13120bl (2 curves)	0	2- 5- 41-	2-  2 5-  2  6  2 -2  2
Curve Equation t 13120bl1 [0,-1,0,20,-78] 2 13120bl2 [0,-1,0,-185,-775] 2
13120bm (2 curves)	0	2- 5- 41-	2-  2 5- -2  6 -2  2 -6
Curve Equation t 13120bm1 [0,-1,0,-1345,19425] 2 13120bm2 [0,-1,0,-1025,28577] 2
13120bn (2 curves)	0	2- 5- 41-	2- -2 5-  2  2  6 -6 -2
Curve Equation t 13120bn1 [0,1,0,-1025,-1025] 2 13120bn2 [0,1,0,4095,-4097] 2
13120bo (2 curves)	0	2- 5- 41-	2- -2 5- -2  2 -2  2 -2
Curve Equation t 13120bo1 [0,1,0,-340,-2562] 2 13120bo2 [0,1,0,-5465,-157337] 2
13120bp (2 curves)	2	2- 5- 41-	2- -2 5- -2 -6  2 -2 -2
Curve Equation t Generators 13120bp1 [0,1,0,20,78] 2 [1:10:1]&[13:52:1] 13120bp2 [0,1,0,-185,775] 2 [-15:20:1]&[-5:40:1]

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