Cremona's table of elliptic curves

30800 = 2⁴ · 5² · 7 · 11

Class	r	Atkin-Lehner	Eigenvalues
30800a (4 curves)	1	2+ 5+ 7+ 11+	2+  0 5+ 7+ 11+ -2 -2  0
Curve Equation t Generators 30800a1 [0,0,0,1298425,318107750] 2 [125710462649863:-7952180682087576:34741712447] 30800a2 [0,0,0,-6022075,2726552250] 4 [213577:101682108:2197] 30800a3 [0,0,0,-47525075,-124231124750] 2 [-167723387559:1809889436386:43243551] 30800a4 [0,0,0,-81647075,283824677250] 2 [1085:443300:1]
30800b (2 curves)	1	2+ 5+ 7+ 11+	2+ -2 5+ 7+ 11+  0 -4  4
Curve Equation t Generators 30800b1 [0,1,0,1092,2188] 2 [23:200:1] 30800b2 [0,1,0,-4408,13188] 2 [-32:350:1]
30800c (1 curve)	1	2+ 5+ 7+ 11+	2+ -2 5+ 7+ 11+  5 -8  1
Curve Equation t Generators 30800c1 [0,1,0,-8,-1772] 1 [34:196:1]
30800d (1 curve)	1	2+ 5+ 7+ 11+	2+ -2 5+ 7+ 11+ -7  1 -5
Curve Equation t Generators 30800d1 [0,1,0,-100273,12188043] 1 [182:7:1]
30800e (1 curve)	1	2+ 5+ 7+ 11+	2+  3 5+ 7+ 11+ -2  1  0
Curve Equation t Generators 30800e1 [0,0,0,-115,-670] 1 [9459:3446:729]
30800f (2 curves)	0	2+ 5+ 7+ 11-	2+  0 5+ 7+ 11-  6  0  2
Curve Equation t 30800f1 [0,0,0,2125,-10750] 2 30800f2 [0,0,0,-8875,-87750] 2
30800g (2 curves)	2	2+ 5+ 7+ 11-	2+ -2 5+ 7+ 11- -6 -2 -2
Curve Equation t Generators 30800g1 [0,1,0,-8,9988] 2 [-2:-100:1]&[-8:98:1] 30800g2 [0,1,0,-7008,219988] 2 [-82:500:1]&[-12:550:1]
30800h (4 curves)	0	2+ 5+ 7- 11+	2+  0 5+ 7- 11+  6 -6  4
Curve Equation t 30800h1 [0,0,0,-3050,-46125] 2 30800h2 [0,0,0,-18175,906750] 4 30800h3 [0,0,0,9325,3409250] 4 30800h4 [0,0,0,-287675,59388250] 2
30800i (1 curve)	0	2+ 5+ 7- 11+	2+ -1 5+ 7- 11+  0  2  2
Curve Equation t 30800i1 [0,-1,0,-33,-24563] 1
30800j (1 curve)	0	2+ 5+ 7- 11+	2+  2 5+ 7- 11+ -5  3  1
Curve Equation t 30800j1 [0,-1,0,-33,77] 1
30800k (1 curve)	1	2+ 5+ 7- 11-	2+  0 5+ 7- 11- -1 -5 -3
Curve Equation t Generators 30800k1 [0,0,0,-12500,537500] 1 [-71:1033:1]
30800l (4 curves)	1	2+ 5+ 7- 11-	2+  0 5+ 7- 11-  2 -2  0
Curve Equation t Generators 30800l1 [0,0,0,-1175,-38250] 2 [65:400:1] 30800l2 [0,0,0,-25675,-1581750] 4 [310:4500:1] 30800l3 [0,0,0,-32675,-650750] 2 [-30:550:1] 30800l4 [0,0,0,-410675,-101296750] 2 [926:17676:1]
30800m (4 curves)	1	2+ 5+ 7- 11-	2+  0 5+ 7- 11- -2  2  4
Curve Equation t Generators 30800m1 [0,0,0,-650,6375] 2 [597:1432:27] 30800m2 [0,0,0,-775,3750] 4 [50:300:1] 30800m3 [0,0,0,2725,28250] 2 [1:176:1] 30800m4 [0,0,0,-6275,-188750] 2 [-45:50:1]
30800n (2 curves)	1	2+ 5+ 7- 11-	2+  2 5+ 7- 11-  0 -4 -4
Curve Equation t Generators 30800n1 [0,-1,0,95692,-12109888] 2 [508:12936:1] 30800n2 [0,-1,0,-569808,-115927888] 2 [1982:80850:1]
30800o (2 curves)	1	2+ 5+ 7- 11-	2+ -2 5+ 7- 11- -4  0  4
Curve Equation t Generators 30800o1 [0,1,0,-308,3388] 2 [3:50:1] 30800o2 [0,1,0,-5808,168388] 2 [8:350:1]
30800p (1 curve)	0	2+ 5- 7+ 11+	2+ -2 5- 7+ 11+  5 -3  1
Curve Equation t 30800p1 [0,1,0,-833,7963] 1
30800q (1 curve)	1	2+ 5- 7+ 11-	2+  0 5- 7+ 11-  1  5 -3
Curve Equation t Generators 30800q1 [0,0,0,-500,4300] 1 [9:23:1]
30800r (2 curves)	1	2+ 5- 7+ 11-	2+  0 5- 7+ 11-  2  0  4
Curve Equation t Generators 30800r1 [0,0,0,-115,450] 2 [-5:30:1] 30800r2 [0,0,0,85,1850] 2 [1:-44:1]
30800s (2 curves)	1	2+ 5- 7+ 11-	2+ -2 5- 7+ 11- -2  6  8
Curve Equation t Generators 30800s1 [0,1,0,-1583,12088] 2 [-36:154:1] 30800s2 [0,1,0,5292,94588] 2 [483:10750:1]
30800t (1 curve)	1	2+ 5- 7- 11+	2+  2 5- 7- 11+ -5  8  1
Curve Equation t Generators 30800t1 [0,-1,0,-208,-221088] 1 [186:2478:1]
30800u (1 curve)	1	2+ 5- 7- 11+	2+  2 5- 7- 11+  7 -1 -5
Curve Equation t Generators 30800u1 [0,-1,0,-2506833,1528519037] 1 [2781607643248196:-2758861779429183:3100001684941]
30800v (1 curve)	1	2+ 5- 7- 11+	2+ -3 5- 7- 11+  2 -1  0
Curve Equation t Generators 30800v1 [0,0,0,-2875,-83750] 1 [75:350:1]
30800w (2 curves)	0	2+ 5- 7- 11-	2+  0 5- 7- 11- -2  0  4
Curve Equation t 30800w1 [0,0,0,-2875,56250] 2 30800w2 [0,0,0,2125,231250] 2
30800x (2 curves)	0	2+ 5- 7- 11-	2+  2 5- 7- 11-  2 -6  8
Curve Equation t 30800x1 [0,-1,0,-63,122] 2 30800x2 [0,-1,0,212,672] 2
30800y (1 curve)	0	2- 5+ 7+ 11+	2-  0 5+ 7+ 11+  3  3  7
Curve Equation t 30800y1 [0,0,0,-80,240] 1
30800z (4 curves)	0	2- 5+ 7+ 11+	2-  0 5+ 7+ 11+  6 -6  4
Curve Equation t 30800z1 [0,0,0,-14675,-920750] 2 30800z2 [0,0,0,-256675,-50046750] 4 30800z3 [0,0,0,-278675,-40960750] 2 30800z4 [0,0,0,-4106675,-3203196750] 2
30800ba (2 curves)	0	2- 5+ 7+ 11+	2-  1 5+ 7+ 11+ -6  3  0
Curve Equation t 30800ba1 [0,1,0,-848,-212332] 1 30800ba2 [0,1,0,-200208,40013588] 1
30800bb (1 curve)	0	2- 5+ 7+ 11+	2- -1 5+ 7+ 11+  4  6  2
Curve Equation t 30800bb1 [0,-1,0,-533,-5063] 1
30800bc (2 curves)	0	2- 5+ 7+ 11+	2-  2 5+ 7+ 11+  4  0 -4
Curve Equation t 30800bc1 [0,-1,0,-5808,178112] 2 30800bc2 [0,-1,0,-93808,11090112] 2
30800bd (2 curves)	0	2- 5+ 7+ 11+	2-  2 5+ 7+ 11+ -4 -4  0
Curve Equation t 30800bd1 [0,-1,0,1392,-76288] 2 30800bd2 [0,-1,0,-20608,-1044288] 2
30800be (2 curves)	0	2- 5+ 7+ 11+	2- -2 5+ 7+ 11+  0  0  0
Curve Equation t 30800be1 [0,1,0,12992,-4440012] 2 30800be2 [0,1,0,-339008,-72728012] 2
30800bf (1 curve)	1	2- 5+ 7+ 11-	2-  0 5+ 7+ 11-  1 -3 -1
Curve Equation t Generators 30800bf1 [0,0,0,-69320,6670540] 1 [-6:2662:1]
30800bg (1 curve)	1	2- 5+ 7+ 11-	2-  0 5+ 7+ 11-  1 -6 -1
Curve Equation t Generators 30800bg1 [0,0,0,2965,-113510] 1 [1623:-14336:27]
30800bh (4 curves)	1	2- 5+ 7+ 11-	2-  0 5+ 7+ 11- -2 -2  0
Curve Equation t Generators 30800bh1 [0,0,0,-1475,717250] 2 [130:1650:1] 30800bh2 [0,0,0,-129475,17741250] 4 [135:1650:1] 30800bh3 [0,0,0,-241475,-17538750] 2 [-175:4400:1] 30800bh4 [0,0,0,-2065475,1142557250] 2 [839:462:1]
30800bi (2 curves)	1	2- 5+ 7+ 11-	2-  0 5+ 7+ 11- -2  4  6
Curve Equation t Generators 30800bi1 [0,0,0,-11675,-493750] 2 [2575:130550:1] 30800bi2 [0,0,0,-187675,-31293750] 2 [888153:44516058:343]
30800bj (2 curves)	1	2- 5+ 7+ 11-	2-  0 5+ 7+ 11- -2  6 -4
Curve Equation t Generators 30800bj1 [0,0,0,200,-1125] 2 [4145:25608:125] 30800bj2 [0,0,0,-1175,-10750] 2 [70:500:1]
30800bk (4 curves)	1	2- 5+ 7+ 11-	2-  0 5+ 7+ 11- -2 -6 -4
Curve Equation t Generators 30800bk1 [0,0,0,-4835675,4926218250] 2 [1610:36250:1] 30800bk2 [0,0,0,-81667675,284056874250] 4 [11360193:-10367616:2197] 30800bk3 [0,0,0,-85979675,252393858250] 2 [-113329606:12900175647:17576] 30800bk4 [0,0,0,-1306667675,18180081874250] 4 [20701:42224:1]
30800bl (1 curve)	1	2- 5+ 7+ 11-	2- -3 5+ 7+ 11-  4 -2  6
Curve Equation t Generators 30800bl1 [0,0,0,800,-2000] 1 [9:77:1]
30800bm (2 curves)	1	2- 5+ 7- 11+	2- -2 5+ 7- 11+  1  0  1
Curve Equation t Generators 30800bm1 [0,1,0,-445208,-405826412] 1 [1132:23282:1] 30800bm2 [0,1,0,3954792,10180573588] 1 [-1476:33614:1]
30800bn (4 curves)	1	2- 5+ 7- 11+	2- -2 5+ 7- 11+  4  0  4
Curve Equation t Generators 30800bn1 [0,1,0,-62133,5388238] 2 [98:500:1] 30800bn2 [0,1,0,-228508,-36205512] 2 [3563:210700:1] 30800bn3 [0,1,0,-4902133,4175955738] 2 [1198:4900:1] 30800bn4 [0,1,0,-4903508,4173494488] 2 [1363:4900:1]
30800bo (2 curves)	1	2- 5+ 7- 11+	2- -2 5+ 7- 11+ -5  3  1
Curve Equation t Generators 30800bo1 [0,1,0,-1253,-17297] 1 [-21:14:1] 30800bo2 [0,1,0,-10053,376063] 1 [47:98:1]
30800bp (1 curve)	0	2- 5+ 7- 11-	2-  0 5+ 7- 11- -3  2 -5
Curve Equation t 30800bp1 [0,0,0,-36875,-2743750] 1
30800bq (4 curves)	0	2- 5+ 7- 11-	2-  0 5+ 7- 11-  6  2  4
Curve Equation t 30800bq1 [0,0,0,-11675,5138250] 2 30800bq2 [0,0,0,-523675,144914250] 4 30800bq3 [0,0,0,-875675,-74381750] 2 30800bq4 [0,0,0,-8363675,9309874250] 4
30800br (2 curves)	0	2- 5+ 7- 11-	2-  1 5+ 7- 11- -2  3 -2
Curve Equation t 30800br1 [0,1,0,-7708,-263912] 1 30800br2 [0,1,0,17292,-1363912] 1
30800bs (2 curves)	0	2- 5+ 7- 11-	2-  1 5+ 7- 11- -2 -3 -8
Curve Equation t 30800bs1 [0,1,0,-8251528,-9126191372] 1 30800bs2 [0,1,0,-2696328,-21131372812] 1
30800bt (3 curves)	0	2- 5+ 7- 11-	2-  1 5+ 7- 11-  4  6 -2
Curve Equation t 30800bt1 [0,1,0,-35733,-2611837] 1 30800bt2 [0,1,0,-19733,-4939837] 1 30800bt3 [0,1,0,176267,127752163] 1
30800bu (1 curve)	0	2- 5+ 7- 11-	2- -1 5+ 7- 11-  2  7  4
Curve Equation t 30800bu1 [0,-1,0,72,112] 1
30800bv (2 curves)	0	2- 5+ 7- 11-	2-  2 5+ 7- 11- -2 -2 -6
Curve Equation t 30800bv1 [0,-1,0,-1408,45312] 2 30800bv2 [0,-1,0,-29408,1949312] 2
30800bw (2 curves)	0	2- 5+ 7- 11-	2-  2 5+ 7- 11- -4 -8  4
Curve Equation t 30800bw1 [0,-1,0,-2133,-36988] 2 30800bw2 [0,-1,0,-3508,18012] 2
30800bx (2 curves)	0	2- 5+ 7- 11-	2- -2 5+ 7- 11-  1 -3  1
Curve Equation t 30800bx1 [0,1,0,-13333,-47037] 1 30800bx2 [0,1,0,-713333,231652963] 1
30800by (4 curves)	0	2- 5+ 7- 11-	2- -2 5+ 7- 11- -2  6 -2
Curve Equation t 30800by1 [0,1,0,-365408,-85500812] 2 30800by2 [0,1,0,-5853408,-5452764812] 2 30800by3 [0,1,0,908592,-453000812] 2 30800by4 [0,1,0,-6259408,-4653448812] 2
30800bz (4 curves)	2	2- 5+ 7- 11-	2- -2 5+ 7- 11- -2 -6 -2
Curve Equation t Generators 30800bz1 [0,1,0,3992,-792012] 2 [92:602:1]&[148:-1750:1] 30800bz2 [0,1,0,-108008,-13112012] 2 [-212:550:1]&[-162:400:1] 30800bz3 [0,1,0,-36008,21687988] 2 [-252:3850:1]&[78:-4400:1] 30800bz4 [0,1,0,-1408008,639087988] 2 [-1337:11550:1]&[38:-24200:1]
30800ca (4 curves)	0	2- 5+ 7- 11-	2- -2 5+ 7- 11-  4  0  4
Curve Equation t 30800ca1 [0,1,0,-22408,-25132812] 2 30800ca2 [0,1,0,-1430408,-653100812] 2 30800ca3 [0,1,0,201592,676883188] 2 30800ca4 [0,1,0,-10446408,12623939188] 2
30800cb (2 curves)	0	2- 5+ 7- 11-	2- -2 5+ 7- 11- -4  4  8
Curve Equation t 30800cb1 [0,1,0,-8,-56012] 2 30800cb2 [0,1,0,-22008,-1244012] 2
30800cc (1 curve)	0	2- 5+ 7- 11-	2-  3 5+ 7- 11- -6  5 -2
Curve Equation t 30800cc1 [0,0,0,-77815,-8471710] 1
30800cd (2 curves)	1	2- 5- 7+ 11+	2-  0 5- 7+ 11+ -2 -2  2
Curve Equation t Generators 30800cd1 [0,0,0,-3755,-294950] 2 [90:310:1] 30800cd2 [0,0,0,-93355,-10957350] 2 [3674:221898:1]
30800ce (2 curves)	1	2- 5- 7+ 11+	2-  2 5- 7+ 11+ -1  0  1
Curve Equation t Generators 30800ce1 [0,-1,0,-17808,-3239488] 1 [2072:94080:1] 30800ce2 [0,-1,0,158192,81381312] 1 [4508712:208944624:2197]
30800cf (2 curves)	1	2- 5- 7+ 11+	2-  2 5- 7+ 11+  5 -3  1
Curve Equation t Generators 30800cf1 [0,-1,0,-31333,-2099463] 1 [-2841:3950:27] 30800cf2 [0,-1,0,-251333,47510537] 1 [-301665:28086238:3375]
30800cg (2 curves)	1	2- 5- 7+ 11+	2-  2 5- 7+ 11+  6  6  0
Curve Equation t Generators 30800cg1 [0,-1,0,-32208,2342912] 2 [586:4875:8] 30800cg2 [0,-1,0,-522208,145422912] 2 [408:336:1]
30800ch (2 curves)	1	2- 5- 7+ 11+	2- -2 5- 7+ 11+  2  2  0
Curve Equation t Generators 30800ch1 [0,1,0,22792,-7570412] 2 [222:2912:1] 30800ch2 [0,1,0,-467208,-116350412] 2 [-442:2000:1]
30800ci (2 curves)	0	2- 5- 7+ 11-	2-  0 5- 7+ 11- -2  4 -4
Curve Equation t 30800ci1 [0,0,0,-302875,35906250] 2 30800ci2 [0,0,0,977125,259906250] 2
30800cj (1 curve)	0	2- 5- 7+ 11-	2-  0 5- 7+ 11-  3 -2 -5
Curve Equation t 30800cj1 [0,0,0,-1475,-21950] 1
30800ck (2 curves)	0	2- 5- 7+ 11-	2-  0 5- 7+ 11-  6  4  4
Curve Equation t 30800ck1 [0,0,0,-6235,189450] 2 30800ck2 [0,0,0,-5435,239850] 2
30800cl (1 curve)	0	2- 5- 7+ 11-	2-  1 5- 7+ 11- -2 -7  4
Curve Equation t 30800cl1 [0,1,0,1792,17588] 1
30800cm (2 curves)	0	2- 5- 7+ 11-	2- -1 5- 7+ 11-  2  3 -8
Curve Equation t 30800cm1 [0,-1,0,-206288208,-1140361345088] 1 30800cm2 [0,-1,0,-67408208,-2641286785088] 1
30800cn (2 curves)	0	2- 5- 7+ 11-	2- -1 5- 7+ 11-  2 -3 -2
Curve Equation t 30800cn1 [0,-1,0,-308,-1988] 1 30800cn2 [0,-1,0,692,-11188] 1
30800co (2 curves)	0	2- 5- 7+ 11-	2-  2 5- 7+ 11- -1  3  1
Curve Equation t 30800co1 [0,-1,0,-533,-163] 1 30800co2 [0,-1,0,-28533,1864637] 1
30800cp (1 curve)	0	2- 5- 7+ 11-	2- -3 5- 7+ 11-  6 -5 -2
Curve Equation t 30800cp1 [0,0,0,-1945375,-1058963750] 1
30800cq (2 curves)	0	2- 5- 7- 11+	2-  0 5- 7- 11+  2  2  2
Curve Equation t 30800cq1 [0,0,0,-93875,-36868750] 2 30800cq2 [0,0,0,-2333875,-1369668750] 2
30800cr (1 curve)	0	2- 5- 7- 11+	2-  0 5- 7- 11+ -3 -3  7
Curve Equation t 30800cr1 [0,0,0,-2000,30000] 1
30800cs (2 curves)	0	2- 5- 7- 11+	2- -1 5- 7- 11+  6 -3  0
Curve Equation t 30800cs1 [0,-1,0,-8008,323312] 1 30800cs2 [0,-1,0,-21208,-26499088] 1
30800ct (2 curves)	0	2- 5- 7- 11+	2-  2 5- 7- 11+ -2 -2  0
Curve Equation t 30800ct1 [0,-1,0,912,-60928] 2 30800ct2 [0,-1,0,-18688,-923328] 2
30800cu (2 curves)	2	2- 5- 7- 11+	2- -2 5- 7- 11+ -6 -6  0
Curve Equation t Generators 30800cu1 [0,1,0,-1288,18228] 2 [-28:182:1]&[3:120:1] 30800cu2 [0,1,0,-20888,1155028] 2 [28:770:1]&[78:80:1]
30800cv (1 curve)	1	2- 5- 7- 11-	2-  0 5- 7- 11- -1  3 -1
Curve Equation t Generators 30800cv1 [0,0,0,-1733000,833817500] 1 [454:11858:1]
30800cw (1 curve)	1	2- 5- 7- 11-	2-  0 5- 7- 11- -1  6 -1
Curve Equation t Generators 30800cw1 [0,0,0,74125,-14188750] 1 [18079:2431142:1]
30800cx (2 curves)	1	2- 5- 7- 11-	2-  0 5- 7- 11-  2 -4 -4
Curve Equation t Generators 30800cx1 [0,0,0,-12115,287250] 2 [15:330:1] 30800cx2 [0,0,0,39085,2079250] 2 [-39:704:1]
30800cy (2 curves)	1	2- 5- 7- 11-	2-  0 5- 7- 11- -6 -4  4
Curve Equation t Generators 30800cy1 [0,0,0,-155875,23681250] 2 [-25:5250:1] 30800cy2 [0,0,0,-135875,29981250] 2 [89:-4312:1]

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