Cremona's table of elliptic curves

57120 = 2⁵ · 3 · 5 · 7 · 17

Class	r	Atkin-Lehner	Eigenvalues
57120a (2 curves)	2	2+ 3+ 5+ 7+ 17-	2+ 3+ 5+ 7+ -2  0 17- -6
Curve Equation t Generators 57120a1 [0,-1,0,7714,302736] 2 [-25:306:1]&[-2:536:1] 57120a2 [0,-1,0,-48536,3025236] 2 [-220:1734:1]&[-84:2550:1]
57120b (2 curves)	0	2+ 3+ 5+ 7+ 17-	2+ 3+ 5+ 7+  4  0 17-  2
Curve Equation t 57120b1 [0,-1,0,34,-1584] 2 57120b2 [0,-1,0,-1841,-28959] 2
57120c (2 curves)	0	2+ 3+ 5+ 7+ 17-	2+ 3+ 5+ 7+ -4  4 17- -2
Curve Equation t 57120c1 [0,-1,0,-3486,92736] 2 57120c2 [0,-1,0,-58161,5418081] 2
57120d (2 curves)	0	2+ 3+ 5+ 7+ 17-	2+ 3+ 5+ 7+ -4  4 17-  4
Curve Equation t 57120d1 [0,-1,0,-54026,1849260] 2 57120d2 [0,-1,0,198079,14000721] 2
57120e (4 curves)	0	2+ 3+ 5+ 7- 17+	2+ 3+ 5+ 7- -4  6 17+ -4
Curve Equation t 57120e1 [0,-1,0,-19286,1035840] 4 57120e2 [0,-1,0,-13336,1680820] 2 57120e3 [0,-1,0,-25361,334785] 2 57120e4 [0,-1,0,-308456,66041256] 2
57120f (2 curves)	0	2+ 3+ 5+ 7- 17+	2+ 3+ 5+ 7-  6  6 17+  8
Curve Equation t 57120f1 [0,-1,0,-18306,1312200] 2 57120f2 [0,-1,0,-322056,70445700] 2
57120g (2 curves)	1	2+ 3+ 5+ 7- 17-	2+ 3+ 5+ 7-  0  2 17- -6
Curve Equation t Generators 57120g1 [0,-1,0,-12206,522900] 2 [46:238:1] 57120g2 [0,-1,0,-10081,708625] 2 [-27:980:1]
57120h (1 curve)	0	2+ 3+ 5- 7+ 17+	2+ 3+ 5- 7+  0 -1 17+ -6
Curve Equation t 57120h1 [0,-1,0,-74598685,-248891883275] 1
57120i (4 curves)	0	2+ 3+ 5- 7+ 17+	2+ 3+ 5- 7+  0 -6 17+  4
Curve Equation t 57120i1 [0,-1,0,-28330,1843000] 4 57120i2 [0,-1,0,-21105,2798145] 2 57120i3 [0,-1,0,-35680,819880] 2 57120i4 [0,-1,0,-453160,117566692] 4
57120j (2 curves)	0	2+ 3+ 5- 7+ 17+	2+ 3+ 5- 7+ -4  2 17+  2
Curve Equation t 57120j1 [0,-1,0,-20270,-1103868] 2 57120j2 [0,-1,0,-18145,-1346543] 2
57120k (2 curves)	0	2+ 3+ 5- 7+ 17+	2+ 3+ 5- 7+  6  2 17+  0
Curve Equation t 57120k1 [0,-1,0,-50,600] 2 57120k2 [0,-1,0,-1400,20580] 2
57120l (2 curves)	1	2+ 3+ 5- 7+ 17-	2+ 3+ 5- 7+  0 -2 17-  2
Curve Equation t Generators 57120l1 [0,-1,0,-1330,-20468] 2 [3684:41122:27] 57120l2 [0,-1,0,-21985,-1247375] 2 [545:12180:1]
57120m (1 curve)	1	2+ 3+ 5- 7+ 17-	2+ 3+ 5- 7+  4 -3 17-  2
Curve Equation t Generators 57120m1 [0,-1,0,-13805,-620475] 1 [515:11340:1]
57120n (2 curves)	1	2+ 3+ 5- 7- 17+	2+ 3+ 5- 7- -2  4 17+  2
Curve Equation t Generators 57120n1 [0,-1,0,-2993130,1917777900] 2 [710:12250:1] 57120n2 [0,-1,0,1522495,7192931025] 2 [-1375:49980:1]
57120o (2 curves)	1	2+ 3+ 5- 7- 17+	2+ 3+ 5- 7- -2  4 17+  2
Curve Equation t Generators 57120o1 [0,-1,0,-110,-1008] 2 [23:90:1] 57120o2 [0,-1,0,-2360,-43308] 2 [-28:6:1]
57120p (4 curves)	1	2+ 3+ 5- 7- 17+	2+ 3+ 5- 7-  4  2 17+ -4
Curve Equation t Generators 57120p1 [0,-1,0,-4970,135432] 4 [4:340:1] 57120p2 [0,-1,0,-1400,322500] 2 [25:550:1] 57120p3 [0,-1,0,-8720,-92568] 2 [109:490:1] 57120p4 [0,-1,0,-79345,8629057] 2 [179:360:1]
57120q (4 curves)	0	2+ 3- 5+ 7+ 17+	2+ 3- 5+ 7+  4  6 17+  4
Curve Equation t 57120q1 [0,1,0,-19286,-1035840] 4 57120q2 [0,1,0,-13336,-1680820] 2 57120q3 [0,1,0,-25361,-334785] 2 57120q4 [0,1,0,-308456,-66041256] 2
57120r (4 curves)	1	2+ 3- 5+ 7+ 17-	2+ 3- 5+ 7+ -4  6 17- -4
Curve Equation t Generators 57120r1 [0,1,0,-306,0] 4 [-3:30:1] 57120r2 [0,1,0,1224,1224] 2 [99:1050:1] 57120r3 [0,1,0,-3281,-73185] 2 [109:936:1] 57120r4 [0,1,0,-3456,76860] 2 [39:54:1]
57120s (2 curves)	0	2+ 3- 5+ 7- 17-	2+ 3- 5+ 7-  2  0 17-  6
Curve Equation t 57120s1 [0,1,0,7714,-302736] 2 57120s2 [0,1,0,-48536,-3025236] 2
57120t (2 curves)	0	2+ 3- 5+ 7- 17-	2+ 3- 5+ 7-  2  2 17-  4
Curve Equation t 57120t1 [0,1,0,-4306,294800] 2 57120t2 [0,1,0,-98056,11769800] 2
57120u (2 curves)	0	2+ 3- 5+ 7- 17-	2+ 3- 5+ 7-  4  4 17-  2
Curve Equation t 57120u1 [0,1,0,-3486,-92736] 2 57120u2 [0,1,0,-58161,-5418081] 2
57120v (2 curves)	0	2+ 3- 5+ 7- 17-	2+ 3- 5+ 7-  4  4 17- -4
Curve Equation t 57120v1 [0,1,0,-54026,-1849260] 2 57120v2 [0,1,0,198079,-14000721] 2
57120w (2 curves)	0	2+ 3- 5+ 7- 17-	2+ 3- 5+ 7- -4  0 17- -2
Curve Equation t 57120w1 [0,1,0,34,1584] 2 57120w2 [0,1,0,-1841,28959] 2
57120x (1 curve)	1	2+ 3- 5- 7+ 17+	2+ 3- 5- 7+  0  7 17+ -6
Curve Equation t Generators 57120x1 [0,1,0,35,683] 1 [-7:12:1]
57120y (2 curves)	1	2+ 3- 5- 7+ 17+	2+ 3- 5- 7+  2  4 17+ -2
Curve Equation t Generators 57120y1 [0,1,0,-2993130,-1917777900] 2 [5326090:-298204650:1331] 57120y2 [0,1,0,1522495,-7192931025] 2 [2395:100980:1]
57120z (2 curves)	1	2+ 3- 5- 7+ 17+	2+ 3- 5- 7+  2  4 17+ -2
Curve Equation t Generators 57120z1 [0,1,0,-110,1008] 2 [1:30:1] 57120z2 [0,1,0,-2360,43308] 2 [31:30:1]
57120ba (2 curves)	0	2+ 3- 5- 7+ 17-	2+ 3- 5- 7+  2 -6 17-  8
Curve Equation t 57120ba1 [0,1,0,30,0] 2 57120ba2 [0,1,0,-120,-120] 2
57120bb (2 curves)	1	2+ 3- 5- 7- 17-	2+ 3- 5- 7-  0 -2 17- -2
Curve Equation t Generators 57120bb1 [0,1,0,-1330,20468] 2 [8:102:1] 57120bb2 [0,1,0,-21985,1247375] 2 [83:36:1]
57120bc (1 curve)	1	2+ 3- 5- 7- 17-	2+ 3- 5- 7- -4 -3 17- -2
Curve Equation t Generators 57120bc1 [0,1,0,-13805,620475] 1 [25:540:1]
57120bd (2 curves)	1	2- 3+ 5+ 7+ 17-	2- 3+ 5+ 7+  0  0 17-  2
Curve Equation t Generators 57120bd1 [0,-1,0,-77966,-8410920] 2 [181080300:-2566820708:421875] 57120bd2 [0,-1,0,-1249841,-537395295] 2 [46335:1314100:27]
57120be (4 curves)	1	2- 3+ 5+ 7+ 17-	2- 3+ 5+ 7+  0  2 17- -4
Curve Equation t Generators 57120be1 [0,-1,0,-1365526,614636776] 4 [555:5236:1] 57120be2 [0,-1,0,-1345296,633709620] 2 [589:6732:1] 57120be3 [0,-1,0,-1385776,595488376] 2 [1981:74970:1] 57120be4 [0,-1,0,-21848401,39314980801] 4 [18541:2451060:1]
57120bf (2 curves)	1	2- 3+ 5+ 7+ 17-	2- 3+ 5+ 7+  0 -4 17- -4
Curve Equation t Generators 57120bf1 [0,-1,0,-106,-380] 2 [-6:2:1] 57120bf2 [0,-1,0,-1,-1199] 2 [15:44:1]
57120bg (2 curves)	1	2- 3+ 5+ 7+ 17-	2- 3+ 5+ 7+  0 -4 17-  6
Curve Equation t Generators 57120bg1 [0,-1,0,114,-360] 2 [4:12:1] 57120bg2 [0,-1,0,-561,-2655] 2 [-19:28:1]
57120bh (1 curve)	1	2- 3+ 5+ 7+ 17-	2- 3+ 5+ 7+  0  5 17-  2
Curve Equation t Generators 57120bh1 [0,-1,0,368339,55121701] 1 [551425:23763132:343]
57120bi (2 curves)	1	2- 3+ 5+ 7+ 17-	2- 3+ 5+ 7+ -2  2 17- -4
Curve Equation t Generators 57120bi1 [0,-1,0,-4306,-294800] 2 [3786:232888:1] 57120bi2 [0,-1,0,-98056,-11769800] 2 [301416627:18490838716:79507]
57120bj (4 curves)	1	2- 3+ 5+ 7+ 17-	2- 3+ 5+ 7+ -4 -2 17-  4
Curve Equation t Generators 57120bj1 [0,-1,0,-446,1320] 4 [-14:68:1] 57120bj2 [0,-1,0,1679,8545] 2 [13:-180:1] 57120bj3 [0,-1,0,-4016,-95784] 2 [-35:26:1] 57120bj4 [0,-1,0,-5696,167220] 4 [49:58:1]
57120bk (2 curves)	1	2- 3+ 5+ 7+ 17-	2- 3+ 5+ 7+  6  0 17-  2
Curve Equation t Generators 57120bk1 [0,-1,0,-1786,18436] 2 [-6:170:1] 57120bk2 [0,-1,0,5439,123921] 2 [79:1020:1]
57120bl (1 curve)	1	2- 3+ 5+ 7- 17+	2- 3+ 5+ 7-  0 -1 17+ -2
Curve Equation t Generators 57120bl1 [0,-1,0,-1952781,1128354885] 1 [3399:183708:1]
57120bm (4 curves)	0	2- 3+ 5+ 7- 17-	2- 3+ 5+ 7-  4  6 17-  4
Curve Equation t 57120bm1 [0,-1,0,-306,0] 4 57120bm2 [0,-1,0,1224,-1224] 2 57120bm3 [0,-1,0,-3281,73185] 2 57120bm4 [0,-1,0,-3456,-76860] 2
57120bn (4 curves)	0	2- 3+ 5+ 7- 17-	2- 3+ 5+ 7-  4  6 17-  8
Curve Equation t 57120bn1 [0,-1,0,-535046,-36584904] 4 57120bn2 [0,-1,0,2068079,-290129279] 2 57120bn3 [0,-1,0,-5091296,4393912596] 4 57120bn4 [0,-1,0,-6607616,-6526947720] 2
57120bo (2 curves)	1	2- 3+ 5- 7+ 17+	2- 3+ 5- 7+  0  0 17+ -4
Curve Equation t Generators 57120bo1 [0,-1,0,-2770,-55100] 2 [-30:10:1] 57120bo2 [0,-1,0,-1825,-94223] 2 [144:1615:1]
57120bp (2 curves)	0	2- 3+ 5- 7+ 17-	2- 3+ 5- 7+  4  2 17-  2
Curve Equation t 57120bp1 [0,-1,0,30,-108] 2 57120bp2 [0,-1,0,-225,-975] 2
57120bq (4 curves)	0	2- 3+ 5- 7+ 17-	2- 3+ 5- 7+ -4  2 17-  0
Curve Equation t 57120bq1 [0,-1,0,-630,-3528] 4 57120bq2 [0,-1,0,1920,-26988] 2 57120bq3 [0,-1,0,-4305,107457] 4 57120bq4 [0,-1,0,-8960,-323400] 2
57120br (2 curves)	0	2- 3+ 5- 7+ 17-	2- 3+ 5- 7+ -4  2 17- -6
Curve Equation t 57120br1 [0,-1,0,-9005330,10518354900] 2 57120br2 [0,-1,0,-144522785,668780840817] 2
57120bs (1 curve)	0	2- 3+ 5- 7- 17+	2- 3+ 5- 7-  0  7 17+  6
Curve Equation t 57120bs1 [0,-1,0,35,-683] 1
57120bt (1 curve)	1	2- 3+ 5- 7- 17-	2- 3+ 5- 7-  0  1 17-  6
Curve Equation t Generators 57120bt1 [0,-1,0,29715,-406683] 1 [759:21420:1]
57120bu (2 curves)	1	2- 3+ 5- 7- 17-	2- 3+ 5- 7- -2 -6 17- -8
Curve Equation t Generators 57120bu1 [0,-1,0,30,0] 2 [2:8:1] 57120bu2 [0,-1,0,-120,120] 2 [17:52:1]
57120bv (1 curve)	1	2- 3- 5+ 7+ 17+	2- 3- 5+ 7+  0 -1 17+  2
Curve Equation t Generators 57120bv1 [0,1,0,-1952781,-1128354885] 1 [5349:376164:1]
57120bw (2 curves)	1	2- 3- 5+ 7+ 17+	2- 3- 5+ 7+ -6  6 17+ -8
Curve Equation t Generators 57120bw1 [0,1,0,-18306,-1312200] 2 [324:5184:1] 57120bw2 [0,1,0,-322056,-70445700] 2 [699:6816:1]
57120bx (2 curves)	0	2- 3- 5+ 7+ 17-	2- 3- 5+ 7+  0  2 17-  6
Curve Equation t 57120bx1 [0,1,0,-12206,-522900] 2 57120bx2 [0,1,0,-10081,-708625] 2
57120by (4 curves)	0	2- 3- 5+ 7+ 17-	2- 3- 5+ 7+ -4  6 17- -8
Curve Equation t 57120by1 [0,1,0,-535046,36584904] 4 57120by2 [0,1,0,2068079,290129279] 4 57120by3 [0,1,0,-5091296,-4393912596] 2 57120by4 [0,1,0,-6607616,6526947720] 2
57120bz (2 curves)	1	2- 3- 5+ 7- 17-	2- 3- 5+ 7-  0  0 17- -2
Curve Equation t Generators 57120bz1 [0,1,0,-77966,8410920] 2 [6402:49132:27] 57120bz2 [0,1,0,-1249841,537395295] 2 [951:14484:1]
57120ca (4 curves)	1	2- 3- 5+ 7- 17-	2- 3- 5+ 7-  0  2 17-  4
Curve Equation t Generators 57120ca1 [0,1,0,-1365526,-614636776] 4 [1502:26928:1] 57120ca2 [0,1,0,-1345296,-633709620] 2 [37432857:-6272235000:1331] 57120ca3 [0,1,0,-1385776,-595488376] 4 [-706:5610:1] 57120ca4 [0,1,0,-21848401,-39314980801] 2 [28277:-4685472:1]
57120cb (2 curves)	1	2- 3- 5+ 7- 17-	2- 3- 5+ 7-  0 -4 17-  4
Curve Equation t Generators 57120cb1 [0,1,0,-106,380] 2 [4:6:1] 57120cb2 [0,1,0,-1,1199] 2 [25:132:1]
57120cc (2 curves)	1	2- 3- 5+ 7- 17-	2- 3- 5+ 7-  0 -4 17- -6
Curve Equation t Generators 57120cc1 [0,1,0,114,360] 2 [6:36:1] 57120cc2 [0,1,0,-561,2655] 2 [-9:84:1]
57120cd (1 curve)	1	2- 3- 5+ 7- 17-	2- 3- 5+ 7-  0  5 17- -2
Curve Equation t Generators 57120cd1 [0,1,0,368339,-55121701] 1 [4037:259308:1]
57120ce (4 curves)	1	2- 3- 5+ 7- 17-	2- 3- 5+ 7-  4 -2 17- -4
Curve Equation t Generators 57120ce1 [0,1,0,-446,-1320] 4 [222:3300:1] 57120ce2 [0,1,0,1679,-8545] 4 [7:60:1] 57120ce3 [0,1,0,-4016,95784] 2 [9150:12727:216] 57120ce4 [0,1,0,-5696,-167220] 2 [1818:25707:8]
57120cf (2 curves)	1	2- 3- 5+ 7- 17-	2- 3- 5+ 7- -6  0 17- -2
Curve Equation t Generators 57120cf1 [0,1,0,-1786,-18436] 2 [74:-510:1] 57120cf2 [0,1,0,5439,-123921] 2 [57:612:1]
57120cg (4 curves)	0	2- 3- 5- 7+ 17+	2- 3- 5- 7+ -4  2 17+  4
Curve Equation t 57120cg1 [0,1,0,-4970,-135432] 4 57120cg2 [0,1,0,-1400,-322500] 2 57120cg3 [0,1,0,-8720,92568] 2 57120cg4 [0,1,0,-79345,-8629057] 2
57120ch (1 curve)	1	2- 3- 5- 7+ 17-	2- 3- 5- 7+  0  1 17- -6
Curve Equation t Generators 57120ch1 [0,1,0,29715,406683] 1 [261:5100:1]
57120ci (2 curves)	1	2- 3- 5- 7- 17+	2- 3- 5- 7-  0  0 17+  4
Curve Equation t Generators 57120ci1 [0,1,0,-2770,55100] 2 [20:90:1] 57120ci2 [0,1,0,-1825,94223] 2 [26:255:1]
57120cj (1 curve)	1	2- 3- 5- 7- 17+	2- 3- 5- 7-  0 -1 17+  6
Curve Equation t Generators 57120cj1 [0,1,0,-74598685,248891883275] 1 [4805:-37500:1]
57120ck (4 curves)	1	2- 3- 5- 7- 17+	2- 3- 5- 7-  0 -6 17+ -4
Curve Equation t Generators 57120ck1 [0,1,0,-28330,-1843000] 4 [2602:38745:8] 57120ck2 [0,1,0,-21105,-2798145] 4 [273:3444:1] 57120ck3 [0,1,0,-35680,-819880] 2 [7261874695:205453140858:8615125] 57120ck4 [0,1,0,-453160,-117566692] 2 [972610:19044459:1000]
57120cl (2 curves)	1	2- 3- 5- 7- 17+	2- 3- 5- 7-  4  2 17+ -2
Curve Equation t Generators 57120cl1 [0,1,0,-20270,1103868] 2 [76:-90:1] 57120cl2 [0,1,0,-18145,1346543] 2 [26:945:1]
57120cm (2 curves)	1	2- 3- 5- 7- 17+	2- 3- 5- 7- -6  2 17+  0
Curve Equation t Generators 57120cm1 [0,1,0,-50,-600] 2 [25:120:1] 57120cm2 [0,1,0,-1400,-20580] 2 [43:24:1]
57120cn (4 curves)	0	2- 3- 5- 7- 17-	2- 3- 5- 7-  4  2 17-  0
Curve Equation t 57120cn1 [0,1,0,-630,3528] 4 57120cn2 [0,1,0,1920,26988] 2 57120cn3 [0,1,0,-4305,-107457] 2 57120cn4 [0,1,0,-8960,323400] 4
57120co (2 curves)	0	2- 3- 5- 7- 17-	2- 3- 5- 7-  4  2 17-  6
Curve Equation t 57120co1 [0,1,0,-9005330,-10518354900] 2 57120co2 [0,1,0,-144522785,-668780840817] 2
57120cp (2 curves)	0	2- 3- 5- 7- 17-	2- 3- 5- 7- -4  2 17- -2
Curve Equation t 57120cp1 [0,1,0,30,108] 2 57120cp2 [0,1,0,-225,975] 2

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