Cremona's table of elliptic curves

121800 = 2³ · 3 · 5² · 7 · 29

Class	r	Atkin-Lehner	Eigenvalues
121800a (1 curve)	1	2+ 3+ 5+ 7+ 29+	2+ 3+ 5+ 7+  0  0  4  2
Curve Equation t Generators 121800a1 [0,-1,0,-25208,-1713588] 1 [8794:288183:8]
121800b (1 curve)	1	2+ 3+ 5+ 7+ 29+	2+ 3+ 5+ 7+  1 -6 -3  1
Curve Equation t Generators 121800b1 [0,-1,0,793592,29312812] 1 [145437:55465000:1]
121800c (1 curve)	1	2+ 3+ 5+ 7+ 29+	2+ 3+ 5+ 7+ -1 -4  6  0
Curve Equation t Generators 121800c1 [0,-1,0,-459033,-119554563] 1 [947:17150:1]
121800d (1 curve)	1	2+ 3+ 5+ 7+ 29+	2+ 3+ 5+ 7+ -2 -4 -1 -3
Curve Equation t Generators 121800d1 [0,-1,0,167,-1283] 1 [13:-54:1]
121800e (2 curves)	1	2+ 3+ 5+ 7+ 29+	2+ 3+ 5+ 7+  4  0  0 -8
Curve Equation t Generators 121800e1 [0,-1,0,-4908,-130188] 2 [158:1736:1] 121800e2 [0,-1,0,-2408,-265188] 2 [106:812:1]
121800f (2 curves)	1	2+ 3+ 5+ 7+ 29+	2+ 3+ 5+ 7+  4 -4 -4  0
Curve Equation t Generators 121800f1 [0,-1,0,-30692908,63711125812] 2 [935431076898:-419062043379896:4657463] 121800f2 [0,-1,0,8369592,214726750812] 2 [-25147932474:512035530300:4657463]
121800g (1 curve)	1	2+ 3+ 5+ 7+ 29+	2+ 3+ 5+ 7+ -4  2  3  3
Curve Equation t Generators 121800g1 [0,-1,0,1509167,1402602037] 1 [157003:16048206:343]
121800h (1 curve)	1	2+ 3+ 5+ 7+ 29+	2+ 3+ 5+ 7+ -6  0 -5  5
Curve Equation t Generators 121800h1 [0,-1,0,-616545833,5922399137037] 1 [37421:5937258:1]
121800i (6 curves)	0	2+ 3+ 5+ 7+ 29-	2+ 3+ 5+ 7+  4  2  6  4
Curve Equation t 121800i1 [0,-1,0,-74383,6286012] 2 121800i2 [0,-1,0,-374508,-82550988] 4 121800i3 [0,-1,0,335992,-359645988] 2 121800i4 [0,-1,0,-5887008,-5495825988] 4 121800i5 [0,-1,0,-5782008,-5701415988] 2 121800i6 [0,-1,0,-94192008,-351828035988] 2
121800j (1 curve)	1	2+ 3+ 5+ 7- 29-	2+ 3+ 5+ 7-  2 -2 -1  5
Curve Equation t Generators 121800j1 [0,-1,0,-553,5197] 1 [13:-6:1]
121800k (4 curves)	1	2+ 3+ 5+ 7- 29-	2+ 3+ 5+ 7- -4 -2  2 -4
Curve Equation t Generators 121800k1 [0,-1,0,-14908,-3282188] 2 [646:16008:1] 121800k2 [0,-1,0,-435408,-110089188] 4 [20762:2990000:1] 121800k3 [0,-1,0,-638408,3184812] 2 [252634599:36376031250:12167] 121800k4 [0,-1,0,-6960408,-7065739188] 2 [166618:23841961:8]
121800l (1 curve)	0	2+ 3+ 5- 7+ 29+	2+ 3+ 5- 7+  2 -3 -4 -4
Curve Equation t 121800l1 [0,-1,0,-89208,-10185588] 1
121800m (1 curve)	2	2+ 3+ 5- 7+ 29+	2+ 3+ 5- 7+ -4  4 -3  1
Curve Equation t Generators 121800m1 [0,-1,0,-33,837] 1 [-3:-30:1]&[-7:26:1]
121800n (1 curve)	1	2+ 3+ 5- 7+ 29-	2+ 3+ 5- 7+ -2 -2  3  3
Curve Equation t Generators 121800n1 [0,-1,0,-2233,-217763] 1 [397:-7830:1]
121800o (1 curve)	1	2+ 3+ 5- 7+ 29-	2+ 3+ 5- 7+  5 -4  5  5
Curve Equation t Generators 121800o1 [0,-1,0,952,5292] 1 [157:2000:1]
121800p (2 curves)	1	2+ 3+ 5- 7- 29+	2+ 3+ 5- 7- -6  0  6 -2
Curve Equation t Generators 121800p1 [0,-1,0,-45708,1847412] 2 [-83:2250:1] 121800p2 [0,-1,0,156792,13592412] 2 [42:4500:1]
121800q (2 curves)	0	2+ 3+ 5- 7- 29-	2+ 3+ 5- 7-  2 -2 -6  0
Curve Equation t 121800q1 [0,-1,0,-2020928,-1104354948] 2 121800q2 [0,-1,0,-2458328,-590847348] 2
121800r (2 curves)	1	2+ 3- 5+ 7+ 29-	2+ 3- 5+ 7+  0 -2  6 -2
Curve Equation t Generators 121800r1 [0,1,0,-1883,27738] 2 [13:75:1] 121800r2 [0,1,0,2492,141488] 2 [-8:348:1]
121800s (2 curves)	1	2+ 3- 5+ 7+ 29-	2+ 3- 5+ 7+ -4  0 -2 -2
Curve Equation t Generators 121800s1 [0,1,0,-57408,-5295312] 2 [-141:126:1] 121800s2 [0,1,0,-30408,-10263312] 2 [459:8526:1]
121800t (4 curves)	1	2+ 3- 5+ 7+ 29-	2+ 3- 5+ 7+ -4 -2 -6  4
Curve Equation t Generators 121800t1 [0,1,0,-4926783,-4742438562] 4 [46362:3213693:8] 121800t2 [0,1,0,-81562908,-283544661312] 4 [29056566:550459701:2744] 121800t3 [0,1,0,-84303408,-263473239312] 2 [11076172359203451687:-13695852392198730468750:7243952165549] 121800t4 [0,1,0,-1305000408,-18145732161312] 2 [5584984289346:-6904459303137969:3652264]
121800u (4 curves)	1	2+ 3- 5+ 7+ 29-	2+ 3- 5+ 7+ -4  6  2 -4
Curve Equation t Generators 121800u1 [0,1,0,-48783,8589438] 4 [453:8925:1] 121800u2 [0,1,0,-994908,381362688] 4 [7546:134589:8] 121800u3 [0,1,0,-1212408,202142688] 2 [2924278:-30252027:2744] 121800u4 [0,1,0,-15915408,24433208688] 2 [47055040851:16483816250:20346417]
121800v (1 curve)	1	2+ 3- 5+ 7- 29+	2+ 3- 5+ 7-  3 -3  0  3
Curve Equation t Generators 121800v1 [0,1,0,9592,608688] 1 [43:1050:1]
121800w (4 curves)	0	2+ 3- 5+ 7- 29-	2+ 3- 5+ 7-  4  2 -2  8
Curve Equation t 121800w1 [0,1,0,16617,-687762] 2 121800w2 [0,1,0,-88508,-6364512] 4 121800w3 [0,1,0,-596008,172275488] 2 121800w4 [0,1,0,-1263008,-546634512] 2
121800x (2 curves)	0	2+ 3- 5+ 7- 29-	2+ 3- 5+ 7- -4  6  2 -2
Curve Equation t 121800x1 [0,1,0,5117,122738] 2 121800x2 [0,1,0,-27508,1101488] 2
121800y (1 curve)	0	2+ 3- 5- 7+ 29-	2+ 3- 5- 7+  6  3  4  4
Curve Equation t 121800y1 [0,1,0,-8408,114288] 1
121800z (1 curve)	1	2+ 3- 5- 7- 29-	2+ 3- 5- 7- -3 -2  2 -2
Curve Equation t Generators 121800z1 [0,1,0,14527,-309117] 1 [43:-630:1]
121800ba (4 curves)	0	2- 3+ 5+ 7+ 29+	2- 3+ 5+ 7+  4  2  2 -4
Curve Equation t 121800ba1 [0,-1,0,4892,-9788] 2 121800ba2 [0,-1,0,-19608,-58788] 4 121800ba3 [0,-1,0,-208608,36607212] 2 121800ba4 [0,-1,0,-222608,-40252788] 2
121800bb (4 curves)	1	2- 3+ 5+ 7+ 29-	2- 3+ 5+ 7+  0  2  2 -4
Curve Equation t Generators 121800bb1 [0,-1,0,-431383,20597512] 2 [1237:37125:1] 121800bb2 [0,-1,0,-4259508,-3363464988] 4 [108257:35612500:1] 121800bb3 [0,-1,0,-1722008,-7337189988] 2 [10193005082524:181652578941375:4314825152] 121800bb4 [0,-1,0,-68047008,-216030989988] 2 [-1930006608860:23675705009:405224000]
121800bc (2 curves)	1	2- 3+ 5+ 7- 29+	2- 3+ 5+ 7-  0 -4  0  4
Curve Equation t Generators 121800bc1 [0,-1,0,-41508,-3116988] 2 [-3606:4400:27] 121800bc2 [0,-1,0,20992,-11741988] 2 [777:21750:1]
121800bd (1 curve)	1	2- 3+ 5+ 7- 29+	2- 3+ 5+ 7-  1  2  5 -5
Curve Equation t Generators 121800bd1 [0,-1,0,-163408,25484812] 1 [297:1750:1]
121800be (1 curve)	1	2- 3+ 5+ 7- 29+	2- 3+ 5+ 7- -3  5 -6  5
Curve Equation t Generators 121800be1 [0,-1,0,-521808,168777612] 1 [437:4900:1]
121800bf (4 curves)	1	2- 3+ 5+ 7- 29+	2- 3+ 5+ 7-  4  2  2  4
Curve Equation t Generators 121800bf1 [0,-1,0,-769508,-6644988] 2 [-738:12600:1] 121800bf2 [0,-1,0,-8582008,-9647269988] 4 [84554:8314677:8] 121800bf3 [0,-1,0,-4957008,-17861519988] 2 [253931079069:-19300780522450:36926037] 121800bf4 [0,-1,0,-137207008,-618558019988] 2 [-339745658967:-1260384650:50243409]
121800bg (4 curves)	1	2- 3+ 5+ 7- 29+	2- 3+ 5+ 7-  4  6  6 -4
Curve Equation t Generators 121800bg1 [0,-1,0,-5108,142212] 2 [22:200:1] 121800bg2 [0,-1,0,-5608,113212] 4 [17:150:1] 121800bg3 [0,-1,0,15392,743212] 2 [857:25350:1] 121800bg4 [0,-1,0,-34608,-2380788] 2 [6954:199773:8]
121800bh (2 curves)	0	2- 3+ 5+ 7- 29-	2- 3+ 5+ 7-  4  2  6  2
Curve Equation t 121800bh1 [0,-1,0,-1228283,-268144188] 2 121800bh2 [0,-1,0,4131092,-1983144188] 2
121800bi (1 curve)	0	2- 3+ 5+ 7- 29-	2- 3+ 5+ 7-  6 -3 -4  4
Curve Equation t 121800bi1 [0,-1,0,-210208,14706412] 1
121800bj (1 curve)	2	2- 3+ 5- 7+ 29-	2- 3+ 5- 7+ -3  2 -2 -2
Curve Equation t Generators 121800bj1 [0,-1,0,363167,-39365963] 1 [267:8750:1]&[22211:3311322:1]
121800bk (1 curve)	2	2- 3- 5+ 7+ 29-	2- 3- 5+ 7+ -3 -4 -6 -4
Curve Equation t Generators 121800bk1 [0,1,0,-5033,3667563] 1 [-143:1218:1]&[-122:1575:1]
121800bl (1 curve)	0	2- 3- 5+ 7+ 29-	2- 3- 5+ 7+ -5 -2 -1 -3
Curve Equation t 121800bl1 [0,1,0,-861008,-1021300512] 1
121800bm (1 curve)	0	2- 3- 5+ 7- 29+	2- 3- 5+ 7-  2  3  4 -4
Curve Equation t 121800bm1 [0,1,0,-3568,-82912] 1
121800bn (2 curves)	0	2- 3- 5+ 7- 29+	2- 3- 5+ 7-  4  0  0  0
Curve Equation t 121800bn1 [0,1,0,2792,121088] 2 121800bn2 [0,1,0,-26208,1397088] 2
121800bo (2 curves)	0	2- 3- 5+ 7- 29+	2- 3- 5+ 7-  4  6 -6  0
Curve Equation t 121800bo1 [0,1,0,-27392708,-55591062912] 2 121800bo2 [0,1,0,-439164208,-3542472124912] 2
121800bp (4 curves)	0	2- 3- 5+ 7- 29+	2- 3- 5+ 7- -4  2 -6  4
Curve Equation t 121800bp1 [0,1,0,-411908,-101889312] 2 121800bp2 [0,1,0,-424408,-95389312] 4 121800bp3 [0,1,0,590592,-481089312] 2 121800bp4 [0,1,0,-1639408,706510688] 2
121800bq (2 curves)	0	2- 3- 5+ 7- 29+	2- 3- 5+ 7- -4 -2  2  8
Curve Equation t 121800bq1 [0,1,0,492,-4512] 2 121800bq2 [0,1,0,-3008,-46512] 2
121800br (1 curve)	0	2- 3- 5+ 7- 29+	2- 3- 5+ 7- -4 -4  3  1
Curve Equation t 121800br1 [0,1,0,-833,102963] 1
121800bs (4 curves)	0	2- 3- 5+ 7- 29+	2- 3- 5+ 7- -4  6 -2 -4
Curve Equation t 121800bs1 [0,1,0,-25908,602688] 2 121800bs2 [0,1,0,-338408,75602688] 4 121800bs3 [0,1,0,-263408,110102688] 2 121800bs4 [0,1,0,-5413408,4846102688] 2
121800bt (4 curves)	1	2- 3- 5+ 7- 29-	2- 3- 5+ 7-  0 -2  2  4
Curve Equation t Generators 121800bt1 [0,1,0,-83508,7135488] 4 [-258:3402:1] 121800bt2 [0,1,0,-448008,-109504512] 4 [-408:2352:1] 121800bt3 [0,1,0,334992,-450892512] 2 [3123:176250:1] 121800bt4 [0,1,0,-7063008,-7227244512] 2 [-1533:102:1]
121800bu (2 curves)	1	2- 3- 5+ 7- 29-	2- 3- 5+ 7-  0 -2 -2  6
Curve Equation t Generators 121800bu1 [0,1,0,-1828883,951881238] 2 [787:783:1] 121800bu2 [0,1,0,-29266508,60930529488] 2 [84846:-50750:27]
121800bv (2 curves)	1	2- 3- 5+ 7- 29-	2- 3- 5+ 7-  0 -2  6 -6
Curve Equation t Generators 121800bv1 [0,1,0,524117,-19972762] 2 [299:12789:1] 121800bv2 [0,1,0,-2118508,-162674512] 2 [-322:22050:1]
121800bw (4 curves)	1	2- 3- 5+ 7- 29-	2- 3- 5+ 7-  0 -6 -6 -4
Curve Equation t Generators 121800bw1 [0,1,0,1017,-24462] 2 [27:153:1] 121800bw2 [0,1,0,-9108,-287712] 4 [-66:174:1] 121800bw3 [0,1,0,-40608,2862288] 2 [168:900:1] 121800bw4 [0,1,0,-139608,-20123712] 2 [-216:24:1]
121800bx (1 curve)	1	2- 3- 5+ 7- 29-	2- 3- 5+ 7-  1  2  3  3
Curve Equation t Generators 121800bx1 [0,1,0,-7212027408,-235756698177312] 1 [1127865326824177547377746283:166869947375531477352832031250:10400605117838016312041]
121800by (1 curve)	1	2- 3- 5+ 7- 29-	2- 3- 5+ 7- -2  2 -3  3
Curve Equation t Generators 121800by1 [0,1,0,-55833,-27332037] 1 [417:4698:1]
121800bz (1 curve)	1	2- 3- 5+ 7- 29-	2- 3- 5+ 7- -3  1  6  3
Curve Equation t Generators 121800bz1 [0,1,0,-301008,-64900512] 1 [4997597391:56732865000:7189057]
121800ca (2 curves)	1	2- 3- 5+ 7- 29-	2- 3- 5+ 7- -4  2 -2 -2
Curve Equation t Generators 121800ca1 [0,1,0,-19283,1023438] 2 [43:525:1] 121800ca2 [0,1,0,-14908,1504688] 2 [-22:1350:1]
121800cb (2 curves)	2	2- 3- 5- 7+ 29+	2- 3- 5- 7+ -6  0 -6 -2
Curve Equation t Generators 121800cb1 [0,1,0,-1828,14048] 2 [-46:54:1]&[62:-378:1] 121800cb2 [0,1,0,6272,111248] 2 [-16:84:1]&[32:-588:1]
121800cc (1 curve)	1	2- 3- 5- 7+ 29-	2- 3- 5- 7+  2  2  1  5
Curve Equation t Generators 121800cc1 [0,1,0,-13833,621963] 1 [33:450:1]
121800cd (2 curves)	1	2- 3- 5- 7+ 29-	2- 3- 5- 7+  2  2  6  0
Curve Equation t Generators 121800cd1 [0,1,0,-50523208,-138145414912] 2 [-4096:9744:1] 121800cd2 [0,1,0,-61458208,-73978834912] 2 [22883:3240750:1]
121800ce (1 curve)	1	2- 3- 5- 7- 29+	2- 3- 5- 7-  0  0 -4  2
Curve Equation t Generators 121800ce1 [0,1,0,-1008,-14112] 1 [63:420:1]
121800cf (1 curve)	1	2- 3- 5- 7- 29+	2- 3- 5- 7- -2  4  1 -3
Curve Equation t Generators 121800cf1 [0,1,0,4167,-152037] 1 [33:150:1]
121800cg (1 curve)	1	2- 3- 5- 7- 29+	2- 3- 5- 7- -4 -2 -3  3
Curve Equation t Generators 121800cg1 [0,1,0,60367,11244963] 1 [-107:1890:1]
121800ch (1 curve)	1	2- 3- 5- 7- 29+	2- 3- 5- 7- -6  0  5  5
Curve Equation t Generators 121800ch1 [0,1,0,-24661833,47369328363] 1 [13713:1512630:1]
121800ci (1 curve)	0	2- 3- 5- 7- 29-	2- 3- 5- 7-  5  4 -5  5
Curve Equation t 121800ci1 [0,1,0,23792,709088] 1

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