Cremona's table of elliptic curves

67518 = 2 · 3² · 11² · 31

Class	r	Atkin-Lehner	Eigenvalues
67518a (1 curve)	0	2+ 3+ 11- 31+	2+ 3+  1  0 11-  1 -3 -1
Curve Equation t 67518a1 [1,-1,0,-204,70802] 1
67518b (2 curves)	0	2+ 3+ 11- 31+	2+ 3+  4  0 11-  4 -6  8
Curve Equation t 67518b1 [1,-1,0,-630735,103807853] 2 67518b2 [1,-1,0,-8732895,9931727933] 2
67518c (1 curve)	1	2+ 3+ 11- 31-	2+ 3+  0  2 11-  4  3  4
Curve Equation t Generators 67518c1 [1,-1,0,1248,-37372] 1 [91:862:1]
67518d (1 curve)	1	2+ 3+ 11- 31-	2+ 3+  0 -2 11- -4  3 -4
Curve Equation t Generators 67518d1 [1,-1,0,93,-775] 1 [7:10:1]
67518e (2 curves)	1	2+ 3+ 11- 31-	2+ 3+  2 -4 11-  0 -6  2
Curve Equation t Generators 67518e1 [1,-1,0,-79701,-8640351] 2 [1488:55521:1] 67518e2 [1,-1,0,-76071,-9465813] 2 [531:9717:1]
67518f (2 curves)	1	2+ 3+ 11- 31-	2+ 3+ -3  4 11- -5  3  7
Curve Equation t Generators 67518f1 [1,-1,0,5604,-295344] 1 [1230:15747:8] 67518f2 [1,-1,0,-52476,9930608] 1 [-161:3847:1]
67518g (2 curves)	2	2+ 3- 11+ 31+	2+ 3-  0 -2 11+  0 -2  0
Curve Equation t Generators 67518g1 [1,-1,0,-2052,35932] 2 [41:119:1]&[-21:274:1] 67518g2 [1,-1,0,-32742,2288578] 2 [846:-277:8]&[107:-13:1]
67518h (1 curve)	0	2+ 3- 11+ 31+	2+ 3-  0  3 11+  0  3  0
Curve Equation t 67518h1 [1,-1,0,-333354357,27345825923125] 1
67518i (2 curves)	1	2+ 3- 11+ 31-	2+ 3- -2  2 11+  4 -6 -6
Curve Equation t Generators 67518i1 [1,-1,0,-5418,149364] 2 [25:158:1] 67518i2 [1,-1,0,2502,543780] 2 [-48:582:1]
67518j (1 curve)	1	2+ 3- 11+ 31-	2+ 3-  4 -1 11+  4 -3  0
Curve Equation t Generators 67518j1 [1,-1,0,-62640,-6199902] 1 [245198193:9703445181:148877]
67518k (1 curve)	1	2+ 3- 11- 31+	2+ 3- -1  0 11-  1 -5  4
Curve Equation t Generators 67518k1 [1,-1,0,-68085,6791989] 1 [107:797:1]
67518l (1 curve)	1	2+ 3- 11- 31+	2+ 3- -1 -2 11-  5  1  6
Curve Equation t Generators 67518l1 [1,-1,0,-1738515015,27901209024189] 1 [24654:144489:1]
67518m (1 curve)	1	2+ 3- 11- 31+	2+ 3-  2 -3 11- -4 -7  2
Curve Equation t Generators 67518m1 [1,-1,0,3789,806845] 1 [113:1577:1]
67518n (1 curve)	1	2+ 3- 11- 31+	2+ 3- -2  2 11-  4  7 -2
Curve Equation t Generators 67518n1 [1,-1,0,-266283,-57798779] 1 [749:12374:1]
67518o (1 curve)	1	2+ 3- 11- 31+	2+ 3- -3  0 11- -1 -1 -8
Curve Equation t Generators 67518o1 [1,-1,0,-171,-797] 1 [-7:8:1]
67518p (1 curve)	1	2+ 3- 11- 31+	2+ 3- -3  2 11-  7 -1 -7
Curve Equation t Generators 67518p1 [1,-1,0,-17991,-943299] 1 [237:2721:1]
67518q (1 curve)	0	2+ 3- 11- 31-	2+ 3-  0  0 11- -2  3  0
Curve Equation t 67518q1 [1,-1,0,-567,-54675] 1
67518r (2 curves)	0	2+ 3- 11- 31-	2+ 3-  0  4 11- -2  3 -8
Curve Equation t 67518r1 [1,-1,0,-74322,9187668] 1 67518r2 [1,-1,0,527103,-55838403] 1
67518s (2 curves)	0	2+ 3- 11- 31-	2+ 3-  0 -4 11-  2 -2  6
Curve Equation t 67518s1 [1,-1,0,-43849152,111746219008] 2 67518s2 [1,-1,0,-38447712,140297150560] 2
67518t (1 curve)	0	2+ 3- 11- 31-	2+ 3-  1 -2 11- -3  1 -7
Curve Equation t 67518t1 [1,-1,0,-90954,-11989994] 1
67518u (1 curve)	0	2+ 3- 11- 31-	2+ 3-  1  4 11-  5 -3  6
Curve Equation t 67518u1 [1,-1,0,-134514,-18926924] 1
67518v (1 curve)	0	2+ 3- 11- 31-	2+ 3- -1 -4 11- -3  3  2
Curve Equation t 67518v1 [1,-1,0,-146295,-21500451] 1
67518w (2 curves)	0	2+ 3- 11- 31-	2+ 3-  2  2 11-  0  6  2
Curve Equation t 67518w1 [1,-1,0,-186786,27378324] 2 67518w2 [1,-1,0,-2887506,1889254692] 2
67518x (1 curve)	0	2+ 3- 11- 31-	2+ 3- -2  1 11-  0 -5  2
Curve Equation t 67518x1 [1,-1,0,-64261368,198310114624] 1
67518y (2 curves)	0	2+ 3- 11- 31-	2+ 3-  3  2 11-  5 -3  2
Curve Equation t 67518y1 [1,-1,0,212877,-121665483] 1 67518y2 [1,-1,0,-1943343,3556414593] 3
67518z (2 curves)	0	2+ 3- 11- 31-	2+ 3- -3 -4 11- -1  3  2
Curve Equation t 67518z1 [1,-1,0,-736731,237809061] 1 67518z2 [1,-1,0,-59281371,175696095141] 3
67518ba (2 curves)	0	2+ 3- 11- 31-	2+ 3-  4  4 11- -6 -2  2
Curve Equation t 67518ba1 [1,-1,0,-68085,950593] 2 67518ba2 [1,-1,0,269505,7364803] 2
67518bb (1 curve)	1	2- 3+ 11- 31+	2- 3+ -1  0 11-  1  3 -1
Curve Equation t Generators 67518bb1 [1,-1,1,-23,-2615] 1 [14590:-6043:1000]
67518bc (2 curves)	1	2- 3+ 11- 31+	2- 3+ -4  0 11-  4  6  8
Curve Equation t Generators 67518bc1 [1,-1,1,-70082,-3821375] 2 [355:3815:1] 67518bc2 [1,-1,1,-970322,-367518335] 2 [-569:647:1]
67518bd (1 curve)	0	2- 3+ 11- 31-	2- 3+  0  2 11-  4 -3  4
Curve Equation t 67518bd1 [1,-1,1,11230,997813] 1
67518be (1 curve)	2	2- 3+ 11- 31-	2- 3+  0 -2 11- -4 -3 -4
Curve Equation t Generators 67518be1 [1,-1,1,10,25] 1 [-10:25:8]&[1:-7:1]
67518bf (2 curves)	0	2- 3+ 11- 31-	2- 3+ -2 -4 11-  0  6  2
Curve Equation t 67518bf1 [1,-1,1,-717311,234006787] 2 67518bf2 [1,-1,1,-684641,256261591] 2
67518bg (2 curves)	0	2- 3+ 11- 31-	2- 3+  3  4 11- -5 -3  7
Curve Equation t 67518bg1 [1,-1,1,-5831,-365857] 1 67518bg2 [1,-1,1,50434,7923853] 1
67518bh (2 curves)	1	2- 3- 11+ 31+	2- 3-  0  2 11+  0  2  0
Curve Equation t Generators 67518bh1 [1,-1,1,-248315,-47080569] 2 [46100:753933:64] 67518bh2 [1,-1,1,-3961805,-3034211925] 2 [46650820:3295762851:8000]
67518bi (1 curve)	1	2- 3- 11+ 31+	2- 3-  0 -3 11+  0 -3  0
Curve Equation t Generators 67518bi1 [1,-1,1,-2754995,-20544572397] 1 [8891:806562:1]
67518bj (2 curves)	0	2- 3- 11+ 31-	2- 3- -2 -2 11+ -4  6  6
Curve Equation t 67518bj1 [1,-1,1,-655601,-196836703] 2 67518bj2 [1,-1,1,302719,-724679359] 2
67518bk (1 curve)	0	2- 3- 11+ 31-	2- 3-  4  1 11+ -4  3  0
Curve Equation t 67518bk1 [1,-1,1,-518,4799] 1
67518bl (1 curve)	0	2- 3- 11- 31+	2- 3- -1  0 11- -1  5 -4
Curve Equation t 67518bl1 [1,-1,1,-8238308,-9015422457] 1
67518bm (1 curve)	0	2- 3- 11- 31+	2- 3- -1  2 11- -5 -1 -6
Curve Equation t 67518bm1 [1,-1,1,-14367893,-20958672787] 1
67518bn (6 curves)	0	2- 3- 11- 31+	2- 3-  2  0 11-  2  2 -4
Curve Equation t 67518bn1 [1,-1,1,-1463639,718573551] 2 67518bn2 [1,-1,1,-23766359,44601405423] 4 67518bn3 [1,-1,1,-24114839,43226303343] 4 67518bn4 [1,-1,1,-380261399,2854210114671] 2 67518bn5 [1,-1,1,17746321,177466671231] 2 67518bn6 [1,-1,1,-71551679,-179024779425] 2
67518bo (4 curves)	0	2- 3- 11- 31+	2- 3-  2  0 11- -2 -6 -4
Curve Equation t 67518bo1 [1,-1,1,-749,39493] 2 67518bo2 [1,-1,1,-22529,1302733] 4 67518bo3 [1,-1,1,-33419,-78119] 2 67518bo4 [1,-1,1,-360119,83269585] 2
67518bp (1 curve)	0	2- 3- 11- 31+	2- 3-  2  3 11-  4  3  2
Curve Equation t 67518bp1 [1,-1,1,391291,-236308355] 1
67518bq (4 curves)	0	2- 3- 11- 31+	2- 3-  2 -4 11- -2  2  0
Curve Equation t 67518bq1 [1,-1,1,17401,-52225] 4 67518bq2 [1,-1,1,-69719,-365857] 4 67518bq3 [1,-1,1,-744899,246750023] 2 67518bq4 [1,-1,1,-788459,-268599625] 2
67518br (1 curve)	0	2- 3- 11- 31+	2- 3- -2 -1 11- -4 -5 -6
Curve Equation t 67518br1 [1,-1,1,-318011,-132659755] 1
67518bs (2 curves)	2	2- 3- 11- 31+	2- 3- -2 -2 11- -4  2  2
Curve Equation t Generators 67518bs1 [1,-1,1,-105656,-7175253] 2 [399:3551:1]&[-1538:20367:8] 67518bs2 [1,-1,1,-780836,260736171] 2 [597:2363:1]&[773:10503:1]
67518bt (1 curve)	2	2- 3- 11- 31+	2- 3- -2 -2 11- -4 -7  2
Curve Equation t Generators 67518bt1 [1,-1,1,-2201,44025] 1 [-49:204:1]&[23:-84:1]
67518bu (1 curve)	0	2- 3- 11- 31+	2- 3- -3  0 11-  1  1  8
Curve Equation t 67518bu1 [1,-1,1,-20714,1122927] 1
67518bv (1 curve)	1	2- 3- 11- 31-	2- 3-  0  0 11-  2 -3  0
Curve Equation t Generators 67518bv1 [1,-1,1,-68630,72978293] 1 [103:8133:1]
67518bw (3 curves)	1	2- 3- 11- 31-	2- 3-  0  1 11-  4 -3 -2
Curve Equation t Generators 67518bw1 [1,-1,1,-35960,2731259] 1 [-63:2209:1] 67518bw2 [1,-1,1,181840,7540283] 1 [399:11779:1] 67518bw3 [1,-1,1,-2181290,-1404666205] 1 [266964:15810535:64]
67518bx (2 curves)	1	2- 3- 11- 31-	2- 3-  0 -4 11-  2 -3  8
Curve Equation t Generators 67518bx1 [1,-1,1,-8992985,-12201807175] 1 [2783223:68160844:729] 67518bx2 [1,-1,1,63779440,74129576051] 3 [13885:1900017:1]
67518by (1 curve)	1	2- 3- 11- 31-	2- 3-  1 -4 11- -5  3 -6
Curve Equation t Generators 67518by1 [1,-1,1,-1112,14523] 1 [17:9:1]
67518bz (2 curves)	1	2- 3- 11- 31-	2- 3- -1  2 11-  1  3  5
Curve Equation t Generators 67518bz1 [1,-1,1,16312,274475] 1 [-15:169:1] 67518bz2 [1,-1,1,-1519178,-720687085] 1 [15126:442397:8]
67518ca (1 curve)	1	2- 3- 11- 31-	2- 3- -1  4 11-  3 -3 -2
Curve Equation t Generators 67518ca1 [1,-1,1,-17701718,28670205413] 1 [2421:-1085:1]
67518cb (2 curves)	1	2- 3- 11- 31-	2- 3-  2  2 11-  4 -6  2
Curve Equation t Generators 67518cb1 [1,-1,1,-68921744,219002469491] 2 [-3627:650857:1] 67518cb2 [1,-1,1,-112133264,-88594414477] 2 [-4619:577449:1]
67518cc (2 curves)	1	2- 3- 11- 31-	2- 3-  3 -2 11- -5  3 -2
Curve Equation t Generators 67518cc1 [1,-1,1,1759,90929] 1 [51:532:1] 67518cc2 [1,-1,1,-16061,-2667607] 1 [18708:258733:64]
67518cd (2 curves)	1	2- 3- 11- 31-	2- 3- -3  4 11-  1 -3 -2
Curve Equation t Generators 67518cd1 [1,-1,1,-89144474,-316256426791] 1 [-5967:59431:1] 67518cd2 [1,-1,1,-7173045914,-233829983494951] 1 [-1192565637:597707843:24389]

Data from Elliptic Curve Data by J. E. Cremona.
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Part of Computational Number Theory
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