Cremona's table of elliptic curves

6930 = 2 · 3² · 5 · 7 · 11

Class	r	Atkin-Lehner	Eigenvalues
6930a (2 curves)	0	2+ 3+ 5+ 7- 11+	2+ 3+ 5+ 7- 11+ -4  2 -6
Curve Equation t 6930a1 [1,-1,0,-188340,-31409200] 2 6930a2 [1,-1,0,-171060,-37419184] 2
6930b (2 curves)	1	2+ 3+ 5+ 7- 11-	2+ 3+ 5+ 7- 11- -2 -2 -4
Curve Equation t Generators 6930b1 [1,-1,0,-75,325] 2 [5:5:1] 6930b2 [1,-1,0,-1275,17845] 2 [18:13:1]
6930c (2 curves)	0	2+ 3+ 5- 7+ 11+	2+ 3+ 5- 7+ 11+  2  0 -2
Curve Equation t 6930c1 [1,-1,0,-2094,-33580] 2 6930c2 [1,-1,0,2226,-157132] 2
6930d (2 curves)	1	2+ 3+ 5- 7+ 11-	2+ 3+ 5- 7+ 11- -6  0  6
Curve Equation t Generators 6930d1 [1,-1,0,-2364,44828] 2 [-26:310:1] 6930d2 [1,-1,0,-2094,55250] 2 [19:139:1]
6930e (4 curves)	1	2+ 3+ 5- 7- 11+	2+ 3+ 5- 7- 11+  2 -6 -4
Curve Equation t Generators 6930e1 [1,-1,0,-264,7920] 6 [-20:80:1] 6930e2 [1,-1,0,-7764,264420] 6 [-86:582:1] 6930e3 [1,-1,0,2361,-204355] 2 [2798:51251:8] 6930e4 [1,-1,0,-40839,-2960515] 2 [334:4369:1]
6930f (4 curves)	1	2+ 3- 5+ 7+ 11-	2+ 3- 5+ 7+ 11-  2  2  4
Curve Equation t Generators 6930f1 [1,-1,0,-1800,25920] 2 [16:24:1] 6930f2 [1,-1,0,-27720,1783296] 4 [72:360:1] 6930f3 [1,-1,0,-443520,113799816] 2 [385:-184:1] 6930f4 [1,-1,0,-26640,1927800] 2 [15:1230:1]
6930g (6 curves)	1	2+ 3- 5+ 7+ 11-	2+ 3- 5+ 7+ 11- -2  6 -4
Curve Equation t Generators 6930g1 [1,-1,0,315,-25259] 2 [35:149:1] 6930g2 [1,-1,0,-11205,-437675] 4 [-67:128:1] 6930g3 [1,-1,0,-177525,-28745339] 2 [-243:128:1] 6930g4 [1,-1,0,-29205,1337125] 4 [-82:1823:1] 6930g5 [1,-1,0,-426105,107150665] 2 [48:9293:1] 6930g6 [1,-1,0,79695,8894785] 2 [83:3968:1]
6930h (4 curves)	0	2+ 3- 5+ 7- 11-	2+ 3- 5+ 7- 11-  2 -6  2
Curve Equation t 6930h1 [1,-1,0,90,-2700] 2 6930h2 [1,-1,0,-2430,-43524] 2 6930h3 [1,-1,0,-810,73440] 6 6930h4 [1,-1,0,-31680,2166426] 6
6930i (6 curves)	0	2+ 3- 5+ 7- 11-	2+ 3- 5+ 7- 11- -2 -2 -4
Curve Equation t 6930i1 [1,-1,0,-2995650,-2337570284] 2 6930i2 [1,-1,0,-50181570,-136808005100] 4 6930i3 [1,-1,0,-802898370,-8756469168620] 2 6930i4 [1,-1,0,-52439490,-123820900844] 4 6930i5 [1,-1,0,-236147490,1278495746356] 2 6930i6 [1,-1,0,95141790,-694989970700] 2
6930j (2 curves)	0	2+ 3- 5+ 7- 11-	2+ 3- 5+ 7- 11-  4  4  8
Curve Equation t 6930j1 [1,-1,0,-44955,3679825] 2 6930j2 [1,-1,0,-42525,4093411] 2
6930k (4 curves)	1	2+ 3- 5- 7+ 11+	2+ 3- 5- 7+ 11+ -2 -6  8
Curve Equation t Generators 6930k1 [1,-1,0,-364329,90559053] 2 [322:2399:1] 6930k2 [1,-1,0,-5940009,5573682765] 4 [1186:13407:1] 6930k3 [1,-1,0,-6050889,5354872173] 2 [1087:7269:1] 6930k4 [1,-1,0,-95040009,356645502765] 2 [5631:-2523:1]
6930l (2 curves)	1	2+ 3- 5- 7+ 11+	2+ 3- 5- 7+ 11+  4  0 -4
Curve Equation t Generators 6930l1 [1,-1,0,-54,0] 2 [-6:12:1] 6930l2 [1,-1,0,216,-162] 2 [9:45:1]
6930m (4 curves)	0	2+ 3- 5- 7+ 11-	2+ 3- 5- 7+ 11-  2 -2  4
Curve Equation t 6930m1 [1,-1,0,-4509,102325] 2 6930m2 [1,-1,0,-19089,-909527] 4 6930m3 [1,-1,0,-296919,-62198825] 2 6930m4 [1,-1,0,25461,-4553717] 2
6930n (4 curves)	0	2+ 3- 5- 7+ 11-	2+ 3- 5- 7+ 11- -6  6 -4
Curve Equation t 6930n1 [1,-1,0,-8919,225693] 2 6930n2 [1,-1,0,-54999,-4778595] 4 6930n3 [1,-1,0,-871479,-312918147] 2 6930n4 [1,-1,0,24201,-17466435] 2
6930o (8 curves)	1	2+ 3- 5- 7- 11-	2+ 3- 5- 7- 11-  2 -6 -4
Curve Equation t Generators 6930o1 [1,-1,0,14301,-85995] 2 [21:462:1] 6930o2 [1,-1,0,-57699,-647595] 4 [-146:2229:1] 6930o3 [1,-1,0,-182259,32927013] 6 [-258:8049:1] 6930o4 [1,-1,0,-675099,-212909715] 2 [-461:654:1] 6930o5 [1,-1,0,-592299,174808125] 2 [579:4782:1] 6930o6 [1,-1,0,-2994759,1995489513] 12 [-1833:37299:1] 6930o7 [1,-1,0,-3073509,1885066263] 6 [1419:18771:1] 6930o8 [1,-1,0,-47916009,127676162763] 6 [4039:2615:1]
6930p (4 curves)	1	2+ 3- 5- 7- 11-	2+ 3- 5- 7- 11- -4  0 -4
Curve Equation t Generators 6930p1 [1,-1,0,-504,-84672] 2 [112:1064:1] 6930p2 [1,-1,0,-32184,-2194560] 2 [-104:192:1] 6930p3 [1,-1,0,4536,2283120] 6 [76:1712:1] 6930p4 [1,-1,0,-235044,42676308] 6 [22:6114:1]
6930q (4 curves)	1	2+ 3- 5- 7- 11-	2+ 3- 5- 7- 11- -4  0  8
Curve Equation t Generators 6930q1 [1,-1,0,-2889,46413] 2 [-6:255:1] 6930q2 [1,-1,0,6831,285525] 2 [-9:477:1] 6930q3 [1,-1,0,-218349,39325905] 6 [-114:7977:1] 6930q4 [1,-1,0,-218079,39427803] 6 [-333:8829:1]
6930r (2 curves)	0	2- 3+ 5+ 7+ 11+	2- 3+ 5+ 7+ 11+ -6  0  6
Curve Equation t 6930r1 [1,-1,1,-263,-1573] 2 6930r2 [1,-1,1,-233,-1969] 2
6930s (2 curves)	1	2- 3+ 5+ 7+ 11-	2- 3+ 5+ 7+ 11-  2  0 -2
Curve Equation t Generators 6930s1 [1,-1,1,-233,1321] 2 [1:32:1] 6930s2 [1,-1,1,247,5737] 2 [-5:68:1]
6930t (4 curves)	0	2- 3+ 5+ 7- 11-	2- 3+ 5+ 7- 11-  2  6 -4
Curve Equation t 6930t1 [1,-1,1,262,7481] 6 6930t2 [1,-1,1,-4538,111161] 6 6930t3 [1,-1,1,-2378,-211463] 2 6930t4 [1,-1,1,-69878,-7069463] 2
6930u (2 curves)	0	2- 3+ 5- 7- 11+	2- 3+ 5- 7- 11+ -2  2 -4
Curve Equation t 6930u1 [1,-1,1,-677,-8099] 2 6930u2 [1,-1,1,-11477,-470339] 2
6930v (2 curves)	1	2- 3+ 5- 7- 11-	2- 3+ 5- 7- 11- -4 -2 -6
Curve Equation t Generators 6930v1 [1,-1,1,-20927,1170279] 2 [147:-1194:1] 6930v2 [1,-1,1,-19007,1392231] 2 [-69:1574:1]
6930w (2 curves)	1	2- 3- 5+ 7+ 11+	2- 3- 5+ 7+ 11+  0  0  0
Curve Equation t Generators 6930w1 [1,-1,1,292,-15073] 2 [43:253:1] 6930w2 [1,-1,1,-7628,-243169] 2 [-57:91:1]
6930x (4 curves)	0	2- 3- 5+ 7+ 11-	2- 3- 5+ 7+ 11-  2  2 -8
Curve Equation t 6930x1 [1,-1,1,-8573,-406843] 2 6930x2 [1,-1,1,-149693,-22252219] 4 6930x3 [1,-1,1,-2395013,-1426026283] 2 6930x4 [1,-1,1,-162293,-18275659] 2
6930y (4 curves)	0	2- 3- 5+ 7+ 11-	2- 3- 5+ 7+ 11-  2 -6  4
Curve Equation t 6930y1 [1,-1,1,-108803,16653187] 2 6930y2 [1,-1,1,-1837523,959151331] 4 6930y3 [1,-1,1,-1934543,852312907] 2 6930y4 [1,-1,1,-29400023,61365126331] 2
6930z (4 curves)	0	2- 3- 5+ 7+ 11-	2- 3- 5+ 7+ 11- -6  2  0
Curve Equation t 6930z1 [1,-1,1,1732,5231] 2 6930z2 [1,-1,1,-7088,47567] 4 6930z3 [1,-1,1,-69458,-6987769] 2 6930z4 [1,-1,1,-85838,9686567] 2
6930ba (8 curves)	1	2- 3- 5+ 7- 11-	2- 3- 5+ 7- 11-  2 -6 -4
Curve Equation t Generators 6930ba1 [1,-1,1,-10553,-187063] 2 [-39:424:1] 6930ba2 [1,-1,1,-141773,-20499919] 4 [42846:3105983:8] 6930ba3 [1,-1,1,-429728,108528707] 6 [-483:14497:1] 6930ba4 [1,-1,1,-2268023,-1314110419] 2 [31738734:2223969607:5832] 6930ba5 [1,-1,1,-115043,-28486843] 2 [5354790:388315747:1000] 6930ba6 [1,-1,1,-455648,94718531] 12 [-735:6037:1] 6930ba7 [1,-1,1,-2307848,-1265537149] 6 [-1029:4861:1] 6930ba8 [1,-1,1,981832,570811907] 6 [-93:21925:1]
6930bb (4 curves)	1	2- 3- 5+ 7- 11-	2- 3- 5+ 7- 11- -2 -2 -4
Curve Equation t Generators 6930bb1 [1,-1,1,-698,7161] 2 [-7:111:1] 6930bb2 [1,-1,1,-1418,-9543] 4 [-25:111:1] 6930bb3 [1,-1,1,-19238,-1021719] 2 [-79:57:1] 6930bb4 [1,-1,1,4882,-75063] 2 [45:461:1]
6930bc (4 curves)	1	2- 3- 5+ 7- 11-	2- 3- 5+ 7- 11- -6  2 -4
Curve Equation t Generators 6930bc1 [1,-1,1,-263,17407] 2 [7:122:1] 6930bc2 [1,-1,1,-11783,492031] 4 [155:-1618:1] 6930bc3 [1,-1,1,-19703,-246113] 2 [-23:452:1] 6930bc4 [1,-1,1,-188183,31467871] 2 [253:-64:1]
6930bd (4 curves)	0	2- 3- 5- 7+ 11+	2- 3- 5- 7+ 11+ -2  2  4
Curve Equation t 6930bd1 [1,-1,1,2308,-57409] 4 6930bd2 [1,-1,1,-15692,-575809] 4 6930bd3 [1,-1,1,-234392,-43615969] 2 6930bd4 [1,-1,1,-84992,9070751] 2
6930be (4 curves)	0	2- 3- 5- 7+ 11+	2- 3- 5- 7+ 11+  6 -2  0
Curve Equation t 6930be1 [1,-1,1,-1785767,916672479] 4 6930be2 [1,-1,1,-2523047,88264671] 4 6930be3 [1,-1,1,-26916647,-53548383009] 2 6930be4 [1,-1,1,10074073,697965279] 2
6930bf (2 curves)	1	2- 3- 5- 7+ 11-	2- 3- 5- 7+ 11-  0 -4  0
Curve Equation t Generators 6930bf1 [1,-1,1,-1517,19541] 2 [-9:184:1] 6930bf2 [1,-1,1,2803,107669] 2 [177:-2564:1]
6930bg (4 curves)	1	2- 3- 5- 7+ 11-	2- 3- 5- 7+ 11- -2 -2  0
Curve Equation t Generators 6930bg1 [1,-1,1,-62627,6001251] 4 [-229:2994:1] 6930bg2 [1,-1,1,-108707,-3970461] 4 [1547:-60174:1] 6930bg3 [1,-1,1,-1368707,-615322461] 2 [-663:936:1] 6930bg4 [1,-1,1,414013,-31360989] 2 [1481:-62616:1]
6930bh (4 curves)	1	2- 3- 5- 7- 11+	2- 3- 5- 7- 11+ -4  0 -4
Curve Equation t Generators 6930bh1 [1,-1,1,-8087,-271249] 2 [-51:106:1] 6930bh2 [1,-1,1,1633,-889441] 2 [117:886:1] 6930bh3 [1,-1,1,-83822,9260669] 6 [-231:4147:1] 6930bh4 [1,-1,1,-14702,24024701] 6 [-279:2659:1]
6930bi (4 curves)	1	2- 3- 5- 7- 11+	2- 3- 5- 7- 11+ -6 -6  0
Curve Equation t Generators 6930bi1 [1,-1,1,-7772,265119] 4 [-43:741:1] 6930bi2 [1,-1,1,-10652,53151] 4 [-79:669:1] 6930bi3 [1,-1,1,-109652,-13886049] 2 [-189:339:1] 6930bi4 [1,-1,1,42268,391839] 2 [47:1551:1]
6930bj (2 curves)	0	2- 3- 5- 7- 11-	2- 3- 5- 7- 11-  2 -2  6
Curve Equation t 6930bj1 [1,-1,1,-32,159] 2 6930bj2 [1,-1,1,-662,6711] 2
6930bk (4 curves)	0	2- 3- 5- 7- 11-	2- 3- 5- 7- 11-  2  6  2
Curve Equation t 6930bk1 [1,-1,1,-8222,-286099] 2 6930bk2 [1,-1,1,-131702,-18363571] 2 6930bk3 [1,-1,1,20443,-1535011] 6 6930bk4 [1,-1,1,-140837,-15663139] 6
6930bl (8 curves)	0	2- 3- 5- 7- 11-	2- 3- 5- 7- 11-  2  6 -4
Curve Equation t 6930bl1 [1,-1,1,-2578802,-1593306511] 2 6930bl2 [1,-1,1,-2581682,-1589567119] 4 6930bl3 [1,-1,1,-2751737,-1367291239] 6 6930bl4 [1,-1,1,-3939962,265300049] 2 6930bl5 [1,-1,1,-1269482,-3205147759] 2 6930bl6 [1,-1,1,-14548217,20191955609] 12 6930bl7 [1,-1,1,-229211897,1335736852121] 6 6930bl8 [1,-1,1,11371783,84297299609] 6
6930bm (4 curves)	0	2- 3- 5- 7- 11-	2- 3- 5- 7- 11- -6 -2  4
Curve Equation t 6930bm1 [1,-1,1,-662,-6379] 2 6930bm2 [1,-1,1,-842,-2491] 4 6930bm3 [1,-1,1,-7772,263621] 2 6930bm4 [1,-1,1,3208,-21931] 2

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