Cremona's table of elliptic curves

33120 = 2⁵ · 3² · 5 · 23

Class	r	Atkin-Lehner	Eigenvalues
33120a (2 curves)	2	2+ 3+ 5+ 23-	2+ 3+ 5+ -2 -2 -4 -6  4
Curve Equation t Generators 33120a1 [0,0,0,-933,16132] 2 [-12:160:1]&[9:92:1] 33120a2 [0,0,0,-16803,838198] 2 [-51:1250:1]&[78:46:1]
33120b (2 curves)	0	2+ 3+ 5+ 23-	2+ 3+ 5+ -4  4 -4  0  8
Curve Equation t 33120b1 [0,0,0,-25893,-1603692] 2 33120b2 [0,0,0,-26163,-1568538] 2
33120c (2 curves)	2	2+ 3+ 5- 23+	2+ 3+ 5- -2 -4 -2 -6 -6
Curve Equation t Generators 33120c1 [0,0,0,-117,424] 2 [-12:10:1]&[-7:30:1] 33120c2 [0,0,0,-492,-3776] 2 [-12:20:1]&[-10:12:1]
33120d (2 curves)	1	2+ 3+ 5- 23-	2+ 3+ 5-  2 -2 -4  6 -4
Curve Equation t Generators 33120d1 [0,0,0,-8397,435564] 2 [73:460:1] 33120d2 [0,0,0,-151227,22631346] 2 [-318:6210:1]
33120e (2 curves)	1	2+ 3+ 5- 23-	2+ 3+ 5-  2  4 -2 -6  6
Curve Equation t Generators 33120e1 [0,0,0,-117,-424] 2 [-5:6:1] 33120e2 [0,0,0,-492,3776] 2 [22:-60:1]
33120f (2 curves)	1	2+ 3+ 5- 23-	2+ 3+ 5-  4  4 -4  0 -8
Curve Equation t Generators 33120f1 [0,0,0,-2877,-59396] 2 [65:168:1] 33120f2 [0,0,0,-2907,-58094] 2 [-30:46:1]
33120g (4 curves)	0	2+ 3- 5+ 23+	2+ 3- 5+  0  0 -6 -6  8
Curve Equation t 33120g1 [0,0,0,-6213,-188188] 4 33120g2 [0,0,0,-4188,-312928] 2 33120g3 [0,0,0,-8283,-51982] 2 33120g4 [0,0,0,-99363,-12055498] 2
33120h (2 curves)	0	2+ 3- 5+ 23+	2+ 3- 5+  2  6  2  4 -8
Curve Equation t 33120h1 [0,0,0,267,60532] 2 33120h2 [0,0,0,-21603,1193398] 2
33120i (2 curves)	2	2+ 3- 5+ 23+	2+ 3- 5+ -4  2 -4 -6  0
Curve Equation t Generators 33120i1 [0,0,0,-93,988] 2 [-7:36:1]&[-4:36:1] 33120i2 [0,0,0,-2163,38662] 2 [-34:270:1]&[-19:270:1]
33120j (2 curves)	2	2+ 3- 5+ 23+	2+ 3- 5+ -4 -4 -2 -2  2
Curve Equation t Generators 33120j1 [0,0,0,-813,8912] 2 [-29:90:1]&[19:-18:1] 33120j2 [0,0,0,-588,13952] 2 [14:-92:1]&[-26:108:1]
33120k (2 curves)	1	2+ 3- 5+ 23-	2+ 3- 5+  0 -6  4 -2 -4
Curve Equation t Generators 33120k1 [0,0,0,267,2212] 2 [17:108:1] 33120k2 [0,0,0,-1803,22498] 2 [-46:90:1]
33120l (1 curve)	1	2+ 3- 5+ 23-	2+ 3- 5+  1 -2 -4  3  4
Curve Equation t Generators 33120l1 [0,0,0,-1128,-15248] 1 [164:2052:1]
33120m (2 curves)	1	2+ 3- 5+ 23-	2+ 3- 5+  4  4 -2 -2 -2
Curve Equation t Generators 33120m1 [0,0,0,-813,-8912] 2 [33:14:1] 33120m2 [0,0,0,-588,-13952] 2 [78:644:1]
33120n (4 curves)	1	2+ 3- 5- 23+	2+ 3- 5-  0 -4 -2 -2 -4
Curve Equation t Generators 33120n1 [0,0,0,-1737,27216] 4 [-3:180:1] 33120n2 [0,0,0,333,88074] 2 [58:550:1] 33120n3 [0,0,0,-3987,-57834] 2 [-18:90:1] 33120n4 [0,0,0,-27612,1766016] 2 [112:280:1]
33120o (1 curve)	1	2+ 3- 5- 23+	2+ 3- 5- -1  2  0  1  4
Curve Equation t Generators 33120o1 [0,0,0,888,-2563216] 1 [148:900:1]
33120p (1 curve)	1	2+ 3- 5- 23+	2+ 3- 5- -5  2  4 -3  0
Curve Equation t Generators 33120p1 [0,0,0,168,304] 1 [20:108:1]
33120q (4 curves)	0	2+ 3- 5- 23-	2+ 3- 5-  0  0 -2  2  4
Curve Equation t 33120q1 [0,0,0,-5637,22484] 4 33120q2 [0,0,0,22308,178976] 2 33120q3 [0,0,0,-57387,-5266366] 2 33120q4 [0,0,0,-66387,6571334] 4
33120r (4 curves)	0	2+ 3- 5- 23-	2+ 3- 5-  0  4 -2 -2  4
Curve Equation t 33120r1 [0,0,0,-1737,-27216] 4 33120r2 [0,0,0,333,-88074] 2 33120r3 [0,0,0,-3987,57834] 2 33120r4 [0,0,0,-27612,-1766016] 2
33120s (4 curves)	0	2+ 3- 5- 23-	2+ 3- 5-  0  4 -6 -6  4
Curve Equation t 33120s1 [0,0,0,-1317,-14924] 4 33120s2 [0,0,0,2733,-88634] 2 33120s3 [0,0,0,-6492,187936] 2 33120s4 [0,0,0,-19947,-1084286] 2
33120t (1 curve)	0	2+ 3- 5- 23-	2+ 3- 5- -3  6  4 -7 -8
Curve Equation t 33120t1 [0,0,0,-262632,-51806896] 1
33120u (1 curve)	0	2+ 3- 5- 23-	2+ 3- 5-  5 -2  4 -3  0
Curve Equation t 33120u1 [0,0,0,168,-304] 1
33120v (2 curves)	0	2- 3+ 5+ 23+	2- 3+ 5+  2  2 -4 -6 -4
Curve Equation t 33120v1 [0,0,0,-933,-16132] 2 33120v2 [0,0,0,-16803,-838198] 2
33120w (2 curves)	0	2- 3+ 5+ 23+	2- 3+ 5+  2 -4 -2  6  6
Curve Equation t 33120w1 [0,0,0,-1053,11448] 2 33120w2 [0,0,0,-4428,-101952] 2
33120x (2 curves)	0	2- 3+ 5+ 23+	2- 3+ 5+  4 -4 -4  0 -8
Curve Equation t 33120x1 [0,0,0,-25893,1603692] 2 33120x2 [0,0,0,-26163,1568538] 2
33120y (2 curves)	1	2- 3+ 5+ 23-	2- 3+ 5+ -2  4 -2  6 -6
Curve Equation t Generators 33120y1 [0,0,0,-1053,-11448] 2 [84:702:1] 33120y2 [0,0,0,-4428,101952] 2 [-44:460:1]
33120z (2 curves)	1	2- 3+ 5- 23+	2- 3+ 5- -2  2 -4  6  4
Curve Equation t Generators 33120z1 [0,0,0,-8397,-435564] 2 [112:170:1] 33120z2 [0,0,0,-151227,-22631346] 2 [-227:10:1]
33120ba (2 curves)	1	2- 3+ 5- 23+	2- 3+ 5- -4 -4 -4  0  8
Curve Equation t Generators 33120ba1 [0,0,0,-2877,59396] 2 [32:10:1] 33120ba2 [0,0,0,-2907,58094] 2 [13:-150:1]
33120bb (2 curves)	1	2- 3- 5+ 23+	2- 3- 5+  0  6  4 -2  4
Curve Equation t Generators 33120bb1 [0,0,0,267,-2212] 2 [56:434:1] 33120bb2 [0,0,0,-1803,-22498] 2 [-19:70:1]
33120bc (1 curve)	1	2- 3- 5+ 23+	2- 3- 5+ -1  2 -4  3 -4
Curve Equation t Generators 33120bc1 [0,0,0,-1128,15248] 1 [16:-36:1]
33120bd (4 curves)	2	2- 3- 5+ 23-	2- 3- 5+  0  0 -6 -6 -8
Curve Equation t Generators 33120bd1 [0,0,0,-6213,188188] 4 [-81:400:1]&[24:230:1] 33120bd2 [0,0,0,-4188,312928] 2 [-82:324:1]&[-42:644:1] 33120bd3 [0,0,0,-8283,51982] 2 [-19:450:1]&[6:50:1] 33120bd4 [0,0,0,-99363,12055498] 2 [186:94:1]&[1782:74120:1]
33120be (2 curves)	0	2- 3- 5+ 23-	2- 3- 5+ -2 -6  2  4  8
Curve Equation t 33120be1 [0,0,0,267,-60532] 2 33120be2 [0,0,0,-21603,-1193398] 2
33120bf (2 curves)	0	2- 3- 5+ 23-	2- 3- 5+  4 -2 -4 -6  0
Curve Equation t 33120bf1 [0,0,0,-93,-988] 2 33120bf2 [0,0,0,-2163,-38662] 2
33120bg (4 curves)	0	2- 3- 5- 23+	2- 3- 5-  0  0 -2  2 -4
Curve Equation t 33120bg1 [0,0,0,-5637,-22484] 4 33120bg2 [0,0,0,22308,-178976] 4 33120bg3 [0,0,0,-57387,5266366] 2 33120bg4 [0,0,0,-66387,-6571334] 2
33120bh (2 curves)	0	2- 3- 5- 23+	2- 3- 5-  0 -4 -2 -6 -2
Curve Equation t 33120bh1 [0,0,0,-603237,-180334784] 2 33120bh2 [0,0,0,-597612,-183862784] 2
33120bi (4 curves)	2	2- 3- 5- 23+	2- 3- 5-  0 -4 -6 -6 -4
Curve Equation t Generators 33120bi1 [0,0,0,-1317,14924] 4 [-17:180:1]&[8:70:1] 33120bi2 [0,0,0,2733,88634] 2 [10:342:1]&[170:2338:1] 33120bi3 [0,0,0,-6492,-187936] 2 [-50:108:1]&[-40:88:1] 33120bi4 [0,0,0,-19947,1084286] 2 [85:-54:1]&[-158:540:1]
33120bj (1 curve)	0	2- 3- 5- 23+	2- 3- 5-  3 -6  4 -7  8
Curve Equation t 33120bj1 [0,0,0,-262632,51806896] 1
33120bk (2 curves)	1	2- 3- 5- 23-	2- 3- 5-  0  4 -2 -6  2
Curve Equation t Generators 33120bk1 [0,0,0,-603237,180334784] 2 [3554:1215:8] 33120bk2 [0,0,0,-597612,183862784] 2 [208:8280:1]
33120bl (1 curve)	1	2- 3- 5- 23-	2- 3- 5-  1 -2  0  1 -4
Curve Equation t Generators 33120bl1 [0,0,0,888,2563216] 1 [752:20700:1]

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