Cremona's table of elliptic curves

117040 = 2⁴ · 5 · 7 · 11 · 19

Class	r	Atkin-Lehner	Eigenvalues
117040a (4 curves)	1	2+ 5+ 7+ 11+ 19+	2+  0 5+ 7+ 11+ -2 -2 19+
Curve Equation t Generators 117040a1 [0,0,0,-383,1598] 2 [26:96:1] 117040a2 [0,0,0,-2803,-55998] 4 [-29:30:1] 117040a3 [0,0,0,277,-172422] 2 [279:4650:1] 117040a4 [0,0,0,-44603,-3625718] 2 [319:3822:1]
117040b (2 curves)	0	2+ 5+ 7+ 11+ 19-	2+  0 5+ 7+ 11+ -4  6 19-
Curve Equation t 117040b1 [0,0,0,-33982063,73533840942] 2 117040b2 [0,0,0,15539917,269947918018] 2
117040c (2 curves)	0	2+ 5+ 7+ 11+ 19-	2+  2 5+ 7+ 11+  0  6 19-
Curve Equation t 117040c1 [0,-1,0,-140316,-20173120] 2 117040c2 [0,-1,0,-166936,-11952864] 2
117040d (2 curves)	2	2+ 5+ 7+ 11+ 19-	2+  2 5+ 7+ 11+  0 -6 19-
Curve Equation t Generators 117040d1 [0,-1,0,-10876,-432960] 2 [336:5808:1]&[119220:3656928:125] 117040d2 [0,-1,0,-11096,-414304] 2 [-50:114:1]&[526:11790:1]
117040e (1 curve)	0	2+ 5+ 7+ 11+ 19-	2+  3 5+ 7+ 11+ -1 -6 19-
Curve Equation t 117040e1 [0,0,0,-20443,1313258] 1
117040f (2 curves)	1	2+ 5+ 7+ 11- 19-	2+  0 5+ 7+ 11-  2  0 19-
Curve Equation t Generators 117040f1 [0,0,0,-223,69918] 2 [1:264:1] 117040f2 [0,0,0,-26843,1672442] 2 [67:418:1]
117040g (2 curves)	2	2+ 5+ 7- 11+ 19+	2+  0 5+ 7- 11+  0 -2 19+
Curve Equation t Generators 117040g1 [0,0,0,-103,-282] 2 [13:24:1]&[22:90:1] 117040g2 [0,0,0,277,-1878] 2 [11:50:1]&[17:88:1]
117040h (1 curve)	1	2+ 5+ 7- 11+ 19-	2+ -1 5+ 7- 11+  2  5 19-
Curve Equation t Generators 117040h1 [0,-1,0,-736,8240] 1 [14:-22:1]
117040i (2 curves)	2	2+ 5+ 7- 11- 19-	2+ -2 5+ 7- 11- -4  6 19-
Curve Equation t Generators 117040i1 [0,1,0,-236,-1460] 2 [-9:4:1]&[39:224:1] 117040i2 [0,1,0,-456,1444] 2 [-16:70:1]&[-9:70:1]
117040j (2 curves)	2	2+ 5- 7+ 11+ 19+	2+ -2 5- 7+ 11+ -2 -4 19+
Curve Equation t Generators 117040j1 [0,1,0,-3080,61828] 2 [-64:30:1]&[-24:350:1] 117040j2 [0,1,0,1920,247828] 2 [-42:308:1]&[-34:380:1]
117040k (2 curves)	0	2+ 5- 7+ 11+ 19+	2+ -2 5- 7+ 11+ -4  6 19+
Curve Equation t 117040k1 [0,1,0,-7595,-117680] 2 117040k2 [0,1,0,26700,-858452] 2
117040l (1 curve)	1	2+ 5- 7+ 11+ 19-	2+ -1 5- 7+ 11+ -2 -1 19-
Curve Equation t Generators 117040l1 [0,-1,0,58240,1068592] 1 [54:2090:1]
117040m (2 curves)	1	2+ 5- 7+ 11- 19+	2+  0 5- 7+ 11- -4 -2 19+
Curve Equation t Generators 117040m1 [0,0,0,-122,611] 2 [7:10:1] 117040m2 [0,0,0,-2047,35646] 2 [-50:114:1]
117040n (2 curves)	1	2+ 5- 7+ 11- 19+	2+  2 5- 7+ 11- -4 -6 19+
Curve Equation t Generators 117040n1 [0,-1,0,-3235,52722] 2 [-1626:4312:27] 117040n2 [0,-1,0,8260,333200] 2 [2845:151800:1]
117040o (4 curves)	2	2+ 5- 7+ 11- 19-	2+  0 5- 7+ 11- -2  2 19-
Curve Equation t Generators 117040o1 [0,0,0,358,10999] 2 [3:110:1]&[963:29890:1] 117040o2 [0,0,0,-5767,156774] 4 [-42:570:1]&[-10:462:1] 117040o3 [0,0,0,-19067,-830086] 2 [-95:352:1]&[-70:402:1] 117040o4 [0,0,0,-90467,10473234] 4 [-301:3230:1]&[1410:471:8]
117040p (2 curves)	0	2+ 5- 7+ 11- 19-	2+  2 5- 7+ 11- -6 -6 19-
Curve Equation t 117040p1 [0,-1,0,-31435,-2134758] 2 117040p2 [0,-1,0,-31340,-2148400] 2
117040q (1 curve)	0	2+ 5- 7+ 11- 19-	2+  2 5- 7+ 11-  7 -2 19-
Curve Equation t 117040q1 [0,-1,0,-225,288125] 1
117040r (2 curves)	1	2+ 5- 7- 11+ 19+	2+  2 5- 7- 11+ -2  2 19+
Curve Equation t Generators 117040r1 [0,-1,0,1645,-17350] 2 [730:19740:1] 117040r2 [0,-1,0,-7980,-144400] 2 [1266060:33984055:1728]
117040s (4 curves)	0	2+ 5- 7- 11+ 19-	2+  0 5- 7- 11+  2 -6 19-
Curve Equation t 117040s1 [0,0,0,-106802,20170379] 2 117040s2 [0,0,0,-1936927,1037353854] 4 117040s3 [0,0,0,-2166827,775681674] 2 117040s4 [0,0,0,-30989027,66398768434] 4
117040t (2 curves)	0	2+ 5- 7- 11+ 19-	2+  2 5- 7- 11+ -4  2 19-
Curve Equation t 117040t1 [0,-1,0,-1275,-58750] 2 117040t2 [0,-1,0,-31900,-2178000] 2
117040u (2 curves)	0	2+ 5- 7- 11- 19+	2+  2 5- 7- 11-  0  2 19+
Curve Equation t 117040u1 [0,-1,0,-999395,224431382] 2 117040u2 [0,-1,0,3150300,1603790000] 2
117040v (2 curves)	0	2+ 5- 7- 11- 19+	2+  2 5- 7- 11- -2 -2 19+
Curve Equation t 117040v1 [0,-1,0,-635,-5950] 2 117040v2 [0,-1,0,-540,-7888] 2
117040w (2 curves)	1	2+ 5- 7- 11- 19-	2+  0 5- 7- 11-  0  6 19-
Curve Equation t Generators 117040w1 [0,0,0,-154922,24644639] 2 [523:9310:1] 117040w2 [0,0,0,-2513047,1533373014] 2 [838:3990:1]
117040x (2 curves)	0	2- 5+ 7+ 11+ 19+	2-  0 5+ 7+ 11+  2 -4 19+
Curve Equation t 117040x1 [0,0,0,-2203,153162] 2 117040x2 [0,0,0,-58523,5435978] 2
117040y (2 curves)	0	2- 5+ 7+ 11+ 19+	2- -1 5+ 7+ 11+  5  6 19+
Curve Equation t 117040y1 [0,-1,0,-31256,-2270480] 1 117040y2 [0,-1,0,186104,83696] 1
117040z (4 curves)	0	2- 5+ 7+ 11+ 19+	2-  2 5+ 7+ 11+ -4 -6 19+
Curve Equation t 117040z1 [0,-1,0,35419,-4531900] 2 117040z2 [0,-1,0,-290676,-49924324] 2 117040z3 [0,-1,0,-332421,154568096] 2 117040z4 [0,-1,0,-6803116,6827148780] 2
117040ba (4 curves)	0	2- 5+ 7+ 11+ 19+	2-  2 5+ 7+ 11+ -4 -6 19+
Curve Equation t 117040ba1 [0,-1,0,-39256,-439824] 2 117040ba2 [0,-1,0,-465176,-121741840] 2 117040ba3 [0,-1,0,-2004296,1092827120] 2 117040ba4 [0,-1,0,-2060616,1028216816] 2
117040bb (3 curves)	0	2- 5+ 7+ 11+ 19+	2-  2 5+ 7+ 11+  5  6 19+
Curve Equation t 117040bb1 [0,-1,0,-24859381,-47699067075] 1 117040bb2 [0,-1,0,-15063221,-85602198979] 1 117040bb3 [0,-1,0,134045739,2169592825565] 1
117040bc (1 curve)	0	2- 5+ 7+ 11+ 19+	2- -3 5+ 7+ 11+  5  2 19+
Curve Equation t 117040bc1 [0,0,0,-16483,-122096798] 1
117040bd (2 curves)	1	2- 5+ 7+ 11+ 19-	2-  0 5+ 7+ 11+ -4  6 19-
Curve Equation t Generators 117040bd1 [0,0,0,-2803,-52302] 2 [233:3456:1] 117040bd2 [0,0,0,3277,-248078] 2 [57:352:1]
117040be (2 curves)	1	2- 5+ 7+ 11- 19+	2- -1 5+ 7+ 11-  2 -3 19+
Curve Equation t Generators 117040be1 [0,-1,0,-1655136,-819042560] 1 [1491663658:255725820394:50653] 117040be2 [0,-1,0,-1369376,-1111130624] 1 [1938:59246:1]
117040bf (2 curves)	1	2- 5+ 7+ 11- 19+	2-  2 5+ 7+ 11- -1  6 19+
Curve Equation t Generators 117040bf1 [0,-1,0,219,-199] 1 [245:3834:1] 117040bf2 [0,-1,0,-2821,63945] 1 [9:198:1]
117040bg (2 curves)	0	2- 5+ 7+ 11- 19-	2-  2 5+ 7+ 11-  4 -6 19-
Curve Equation t 117040bg1 [0,-1,0,219,956] 2 117040bg2 [0,-1,0,-1156,9756] 2
117040bh (2 curves)	0	2- 5+ 7+ 11- 19-	2- -2 5+ 7+ 11-  0 -6 19-
Curve Equation t 117040bh1 [0,1,0,-1981,-53406] 2 117040bh2 [0,1,0,-36356,-2679656] 2
117040bi (1 curve)	1	2- 5+ 7- 11+ 19+	2-  1 5+ 7- 11+ -7  2 19+
Curve Equation t Generators 117040bi1 [0,1,0,-56,980] 1 [14:56:1]
117040bj (2 curves)	1	2- 5+ 7- 11+ 19+	2- -2 5+ 7- 11+ -4  2 19+
Curve Equation t Generators 117040bj1 [0,1,0,-1341781,598253250] 2 [51268:394975:64] 117040bj2 [0,1,0,-21473156,38292239800] 2 [3207:49210:1]
117040bk (2 curves)	1	2- 5+ 7- 11+ 19+	2- -2 5+ 7- 11+ -4 -4 19+
Curve Equation t Generators 117040bk1 [0,1,0,-39016,-9221580] 2 [292:2090:1] 117040bk2 [0,1,0,-940136,-350565836] 2 [-548:602:1]
117040bl (1 curve)	0	2- 5+ 7- 11+ 19-	2- -1 5+ 7- 11+  4  7 19-
Curve Equation t 117040bl1 [0,-1,0,14464,372736] 1
117040bm (2 curves)	0	2- 5+ 7- 11+ 19-	2-  2 5+ 7- 11+ -2 -8 19-
Curve Equation t 117040bm1 [0,-1,0,-165936,-25956160] 2 117040bm2 [0,-1,0,-145936,-32468160] 2
117040bn (2 curves)	0	2- 5+ 7- 11+ 19-	2- -2 5+ 7- 11+ -4  0 19-
Curve Equation t 117040bn1 [0,1,0,135079384,457405525684] 2 117040bn2 [0,1,0,-689501736,4097766254260] 2
117040bo (1 curve)	0	2- 5+ 7- 11+ 19-	2- -2 5+ 7- 11+  5 -6 19-
Curve Equation t 117040bo1 [0,1,0,-21,259] 1
117040bp (2 curves)	0	2- 5+ 7- 11- 19+	2-  2 5+ 7- 11- -4 -2 19+
Curve Equation t 117040bp1 [0,-1,0,-456,1520] 2 117040bp2 [0,-1,0,-3976,-94224] 2
117040bq (1 curve)	1	2- 5+ 7- 11- 19-	2-  1 5+ 7- 11-  2 -7 19-
Curve Equation t Generators 117040bq1 [0,1,0,83455504,522344213204] 1 [33572:6415882:1]
117040br (2 curves)	1	2- 5+ 7- 11- 19-	2- -2 5+ 7- 11-  4 -2 19-
Curve Equation t Generators 117040br1 [0,1,0,-17781,-1650206] 2 [3554:211750:1] 117040br2 [0,1,0,-343876,-77695560] 2 [28586:1684375:8]
117040bs (2 curves)	1	2- 5+ 7- 11- 19-	2- -2 5+ 7- 11- -4  2 19-
Curve Equation t Generators 117040bs1 [0,1,0,-21,2254] 2 [14:70:1] 117040bs2 [0,1,0,-2716,52920] 2 [-49:266:1]
117040bt (1 curve)	1	2- 5+ 7- 11- 19-	2- -3 5+ 7- 11-  6 -3 19-
Curve Equation t Generators 117040bt1 [0,0,0,197,-12182] 1 [31:154:1]
117040bu (2 curves)	1	2- 5- 7+ 11+ 19+	2-  0 5- 7+ 11+  0  6 19+
Curve Equation t Generators 117040bu1 [0,0,0,-15427,-737406] 2 [33445:472512:125] 117040bu2 [0,0,0,-13907,-888494] 2 [1017:32200:1]
117040bv (2 curves)	1	2- 5- 7+ 11+ 19+	2- -2 5- 7+ 11+  0  0 19+
Curve Equation t Generators 117040bv1 [0,1,0,-1405,-16842] 2 [-214:385:8] 117040bv2 [0,1,0,-21260,-1200200] 2 [415:7850:1]
117040bw (2 curves)	0	2- 5- 7+ 11+ 19-	2-  0 5- 7+ 11+  2  6 19-
Curve Equation t 117040bw1 [0,0,0,51608,16824999] 2 117040bw2 [0,0,0,-753647,232150186] 2
117040bx (2 curves)	0	2- 5- 7+ 11+ 19-	2-  1 5- 7+ 11+ -6  3 19-
Curve Equation t 117040bx1 [0,1,0,-721600,-238647500] 1 117040bx2 [0,1,0,4643200,8393250740] 1
117040by (2 curves)	0	2- 5- 7+ 11- 19+	2-  0 5- 7+ 11-  0 -2 19+
Curve Equation t 117040by1 [0,0,0,-4772,-360561] 2 117040by2 [0,0,0,-110647,-14145486] 2
117040bz (4 curves)	2	2- 5- 7+ 11- 19+	2-  0 5- 7+ 11- -6 -6 19+
Curve Equation t Generators 117040bz1 [0,0,0,-416387,103395266] 2 [-623:11000:1]&[-73:11550:1] 117040bz2 [0,0,0,-466387,77005266] 4 [-633:10890:1]&[-215:12936:1] 117040bz3 [0,0,0,1395613,538408866] 4 [-343:4400:1]&[-79:20680:1] 117040bz4 [0,0,0,-3128387,-2073358334] 2 [-1073:6930:1]&[2095:23826:1]
117040ca (4 curves)	0	2- 5- 7+ 11- 19+	2-  2 5- 7+ 11- -4 -6 19+
Curve Equation t 117040ca1 [0,-1,0,-245840,-43290688] 2 117040ca2 [0,-1,0,-3850320,-2906689600] 2 117040ca3 [0,-1,0,-4034640,3112513472] 2 117040ca4 [0,-1,0,-5738320,232612800] 2
117040cb (4 curves)	1	2- 5- 7+ 11- 19-	2-  0 5- 7+ 11- -2  6 19-
Curve Equation t Generators 117040cb1 [0,0,0,-3947,-90214] 2 [-38:70:1] 117040cb2 [0,0,0,-11947,391386] 4 [5:576:1] 117040cb3 [0,0,0,27253,2421946] 4 [250:4986:1] 117040cb4 [0,0,0,-179147,29183226] 2 [2130:4797:8]
117040cc (1 curve)	1	2- 5- 7+ 11- 19-	2- -1 5- 7+ 11-  4  5 19-
Curve Equation t Generators 117040cc1 [0,-1,0,-129200,-19945088] 1 [482:5434:1]
117040cd (2 curves)	1	2- 5- 7+ 11- 19-	2-  2 5- 7+ 11-  0  6 19-
Curve Equation t Generators 117040cd1 [0,-1,0,-547240,-155249040] 2 [-2237911364259729418623:-913306127665560610742:5459036897870459541] 117040cd2 [0,-1,0,-772520,-15034768] 2 [-140471998818:-5003690282470:324242703]
117040ce (2 curves)	1	2- 5- 7+ 11- 19-	2- -2 5- 7+ 11- -4  6 19-
Curve Equation t Generators 117040ce1 [0,1,0,-7320,214228] 2 [23:242:1] 117040ce2 [0,1,0,-113800,14738100] 2 [188:-154:1]
117040cf (2 curves)	0	2- 5- 7- 11+ 19+	2-  0 5- 7- 11+  2  4 19+
Curve Equation t 117040cf1 [0,0,0,-1552,-18321] 2 117040cf2 [0,0,0,-8207,270506] 2
117040cg (1 curve)	0	2- 5- 7- 11+ 19+	2- -1 5- 7- 11+  2 -1 19+
Curve Equation t 117040cg1 [0,-1,0,-22800,2233792] 1
117040ch (1 curve)	0	2- 5- 7- 11+ 19+	2- -1 5- 7- 11+ -5  6 19+
Curve Equation t 117040ch1 [0,-1,0,-11389840,-14791530688] 1
117040ci (2 curves)	0	2- 5- 7- 11+ 19+	2-  2 5- 7- 11+ -2  0 19+
Curve Equation t 117040ci1 [0,-1,0,-2560,0] 2 117040ci2 [0,-1,0,10240,-10240] 2
117040cj (2 curves)	0	2- 5- 7- 11+ 19+	2-  2 5- 7- 11+  4 -6 19+
Curve Equation t 117040cj1 [0,-1,0,-6480,190400] 2 117040cj2 [0,-1,0,-20560,-902208] 2
117040ck (2 curves)	0	2- 5- 7- 11+ 19+	2-  2 5- 7- 11+ -4 -4 19+
Curve Equation t 117040ck1 [0,-1,0,-5325,125720] 2 117040ck2 [0,-1,0,-25180,-1415028] 2
117040cl (2 curves)	1	2- 5- 7- 11+ 19-	2-  0 5- 7- 11+  4 -2 19-
Curve Equation t Generators 117040cl1 [0,0,0,-282187,55871226] 2 [90:5586:1] 117040cl2 [0,0,0,106933,198055674] 2 [2565:131712:1]
117040cm (2 curves)	1	2- 5- 7- 11+ 19-	2-  2 5- 7- 11+  0 -2 19-
Curve Equation t Generators 117040cm1 [0,-1,0,-280,-1488] 2 [1572:62304:1] 117040cm2 [0,-1,0,-1160,14000] 2 [-38:42:1]
117040cn (2 curves)	1	2- 5- 7- 11+ 19-	2-  2 5- 7- 11+  4  4 19-
Curve Equation t Generators 117040cn1 [0,-1,0,-737045,243796400] 2 [2080:87780:1] 117040cn2 [0,-1,0,-737100,243758252] 2 [4042:1995:8]
117040co (4 curves)	1	2- 5- 7- 11- 19+	2-  0 5- 7- 11-  2 -2 19+
Curve Equation t Generators 117040co1 [0,0,0,595933,47571746] 2 [-65:2926:1] 117040co2 [0,0,0,-2477347,387476514] 4 [103:11550:1] 117040co3 [0,0,0,-23347427,-43118292254] 2 [-78531:365750:27] 117040co4 [0,0,0,-30779747,65647150434] 4 [7265:474848:1]
117040cp (4 curves)	1	2- 5- 7- 11- 19+	2-  0 5- 7- 11- -6  2 19+
Curve Equation t Generators 117040cp1 [0,0,0,-85427,9610354] 2 [178:210:1] 117040cp2 [0,0,0,-86707,9307506] 4 [-23:3360:1] 117040cp3 [0,0,0,65293,38461106] 4 [-263:1760:1] 117040cp4 [0,0,0,-259187,-39228366] 2 [-177:1050:1]
117040cq (4 curves)	0	2- 5- 7- 11- 19-	2-  0 5- 7- 11- -2 -2 19-
Curve Equation t 117040cq1 [0,0,0,-2187947,1239114714] 2 117040cq2 [0,0,0,-34955947,79548081114] 4 117040cq3 [0,0,0,-34904747,79792724954] 4 117040cq4 [0,0,0,-559295147,5091077286874] 2
117040cr (2 curves)	0	2- 5- 7- 11- 19-	2-  0 5- 7- 11-  4 -2 19-
Curve Equation t 117040cr1 [0,0,0,-7052,-228629] 2 117040cr2 [0,0,0,-112927,-14606454] 2

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