Cremona's table of elliptic curves

62475 = 3 · 5² · 7² · 17

Class	r	Atkin-Lehner	Eigenvalues
62475a (1 curve)	1	3+ 5+ 7+ 17+	1 3+ 5+ 7+ -1 -7 17+  8
Curve Equation t Generators 62475a1 [1,1,0,465,6210] 1 [-6:60:1]
62475b (1 curve)	1	3+ 5+ 7+ 17+	1 3+ 5+ 7+ -2 -1 17+ -8
Curve Equation t Generators 62475b1 [1,1,0,-13500,-516375] 1 [-64:333:1]
62475c (1 curve)	1	3+ 5+ 7+ 17+	1 3+ 5+ 7+  4  3 17+ -7
Curve Equation t Generators 62475c1 [1,1,0,-114586035,-472160414340] 1 [253315772636351545239124836088:594625433654496111991348408880442:45952929113515155280277]
62475d (1 curve)	0	3+ 5+ 7+ 17-	-1 3+ 5+ 7+  6 -1 17- -4
Curve Equation t 62475d1 [1,1,1,-5538,-122844] 1
62475e (1 curve)	2	3+ 5+ 7- 17+	0 3+ 5+ 7- -3 -4 17+ -4
Curve Equation t Generators 62475e1 [0,-1,1,-23,-22] 1 [-22:25:8]&[-2:3:1]
62475f (4 curves)	0	3+ 5+ 7- 17+	1 3+ 5+ 7-  0 -2 17+  0
Curve Equation t 62475f1 [1,1,0,-221750,91248375] 2 62475f2 [1,1,0,-4686875,3900000000] 4 62475f3 [1,1,0,-5844500,1824378375] 2 62475f4 [1,1,0,-74971250,249825028125] 2
62475g (1 curve)	0	3+ 5+ 7- 17+	1 3+ 5+ 7-  4 -4 17+ -7
Curve Equation t 62475g1 [1,1,0,-7200,239625] 1
62475h (2 curves)	2	3+ 5+ 7- 17+	-1 3+ 5+ 7-  0  0 17+ -2
Curve Equation t Generators 62475h1 [1,1,1,-3088,342656] 2 [-60:592:1]&[-50:637:1] 62475h2 [1,1,1,-94963,11183906] 2 [-260:4417:1]&[90:1792:1]
62475i (4 curves)	0	3+ 5+ 7- 17+	-1 3+ 5+ 7- -4  2 17+  4
Curve Equation t 62475i1 [1,1,1,38562,3882906] 2 62475i2 [1,1,1,-261563,39297656] 4 62475i3 [1,1,1,-1419188,-618233344] 2 62475i4 [1,1,1,-3905938,2969375156] 2
62475j (2 curves)	2	3+ 5+ 7- 17+	-1 3+ 5+ 7- -6 -4 17+  2
Curve Equation t Generators 62475j1 [1,1,1,-113,1406] 2 [0:-38:1]&[-50:371:8] 62475j2 [1,1,1,-2738,53906] 2 [-50:287:1]&[-1:238:1]
62475k (1 curve)	0	3+ 5+ 7- 17+	2 3+ 5+ 7-  0  6 17+  4
Curve Equation t 62475k1 [0,-1,1,16042,292193] 1
62475l (1 curve)	0	3+ 5+ 7- 17+	-2 3+ 5+ 7- -2  5 17+  8
Curve Equation t 62475l1 [0,-1,1,-465908,-284299282] 1
62475m (1 curve)	0	3+ 5+ 7- 17+	-2 3+ 5+ 7-  3  4 17+  6
Curve Equation t 62475m1 [0,-1,1,-3348,-73312] 1
62475n (1 curve)	0	3+ 5+ 7- 17+	-2 3+ 5+ 7- -5  2 17+  2
Curve Equation t 62475n1 [0,-1,1,-85178,-1396312] 1
62475o (1 curve)	1	3+ 5+ 7- 17-	0 3+ 5+ 7-  2  1 17-  1
Curve Equation t Generators 62475o1 [0,-1,1,20417,-1029057] 1 [15861:1997559:1]
62475p (1 curve)	1	3+ 5+ 7- 17-	0 3+ 5+ 7-  2 -5 17- -2
Curve Equation t Generators 62475p1 [0,-1,1,-5830817883,-171398919325957] 1 [2430129:154885924:27]
62475q (1 curve)	1	3+ 5+ 7- 17-	0 3+ 5+ 7- -2  3 17-  2
Curve Equation t Generators 62475q1 [0,-1,1,-43283,-5109532] 1 [2266:18371:8]
62475r (1 curve)	1	3+ 5+ 7- 17-	0 3+ 5+ 7-  3  3 17- -3
Curve Equation t Generators 62475r1 [0,-1,1,4366717,-3178600657] 1 [783597304209401435:47006653091812809468:340287680918375]
62475s (1 curve)	1	3+ 5+ 7- 17-	0 3+ 5+ 7-  4  1 17- -1
Curve Equation t Generators 62475s1 [0,-1,1,-1633,28293] 1 [-33:212:1]
62475t (1 curve)	1	3+ 5+ 7- 17-	0 3+ 5+ 7- -5 -5 17-  5
Curve Equation t Generators 62475t1 [0,-1,1,-6533,752093] 1 [61:759:1]
62475u (1 curve)	1	3+ 5+ 7- 17-	0 3+ 5+ 7- -5 -6 17-  8
Curve Equation t Generators 62475u1 [0,-1,1,-5024623,-4331519697] 1 [1259358:87614783:216]
62475v (1 curve)	1	3+ 5+ 7- 17-	1 3+ 5+ 7-  1 -1 17-  4
Curve Equation t Generators 62475v1 [1,1,0,-6784075,-6809819750] 1 [711221656476938902569039168091905074230022:226770866137912611027485658714506396308403348:6969456547083296806261710708684370223]
62475w (4 curves)	1	3+ 5+ 7- 17-	1 3+ 5+ 7-  4  2 17- -8
Curve Equation t Generators 62475w1 [1,1,0,-410400,101023875] 2 [22420:29215:64] 62475w2 [1,1,0,-416525,97845000] 4 [497820:2109215:1728] 62475w3 [1,1,0,312350,404701375] 2 [-658808590:-14795795851:1331000] 62475w4 [1,1,0,-1243400,-412336875] 2 [-860:5105:1]
62475x (4 curves)	1	3+ 5+ 7- 17-	-1 3+ 5+ 7-  4 -2 17-  0
Curve Equation t Generators 62475x1 [1,1,1,-45963,3772656] 4 [134:138:1] 62475x2 [1,1,1,-52088,2694656] 4 [6:1540:1] 62475x3 [1,1,1,162287,19415906] 2 [80:5697:1] 62475x4 [1,1,1,-364463,-82896094] 2 [1015:23867:1]
62475y (2 curves)	1	3+ 5+ 7- 17-	-1 3+ 5+ 7- -4 -4 17- -6
Curve Equation t Generators 62475y1 [1,1,1,93687,18215406] 2 [34:4613:1] 62475y2 [1,1,1,-733188,196820406] 2 [-435:21042:1]
62475z (1 curve)	1	3+ 5+ 7- 17-	2 3+ 5+ 7-  1  4 17- -6
Curve Equation t Generators 62475z1 [0,-1,1,-1541458,-194517807] 1 [-162739770112284142867014:2593112086047493511100297:155944835274529364552]
62475ba (1 curve)	1	3+ 5+ 7- 17-	2 3+ 5+ 7-  2 -7 17- -3
Curve Equation t Generators 62475ba1 [0,-1,1,-5308,195453] 1 [378:1747:8]
62475bb (1 curve)	0	3+ 5- 7+ 17+	-2 3+ 5- 7+  0  6 17+ -4
Curve Equation t 62475bb1 [0,-1,1,31442,-826932] 1
62475bc (1 curve)	1	3+ 5- 7+ 17-	-1 3+ 5- 7+  1 -1 17- -4
Curve Equation t Generators 62475bc1 [1,1,1,-5538,156456] 1 [34:77:1]
62475bd (1 curve)	1	3+ 5- 7- 17+	0 3+ 5- 7- -3 -4 17+  4
Curve Equation t Generators 62475bd1 [0,-1,1,-28583,1273943] 1 [621:14920:1]
62475be (1 curve)	1	3+ 5- 7- 17+	0 3+ 5- 7-  4  1 17+  2
Curve Equation t Generators 62475be1 [0,-1,1,2287,3128] 1 [82:857:1]
62475bf (1 curve)	1	3+ 5- 7- 17+	0 3+ 5- 7-  4  1 17+ -2
Curve Equation t Generators 62475bf1 [0,-1,1,1167,-1807] 1 [117:1312:1]
62475bg (2 curves)	1	3+ 5- 7- 17+	1 3+ 5- 7-  6 -4 17+ -4
Curve Equation t Generators 62475bg1 [1,1,0,-3700,6110875] 2 [-65010:8419541:3375] 62475bg2 [1,1,0,-524325,144076500] 2 [-6180:431840:27]
62475bh (1 curve)	1	3+ 5- 7- 17+	-1 3+ 5- 7- -1 -7 17+ -8
Curve Equation t Generators 62475bh1 [1,1,1,237,-2094] 1 [10:32:1]
62475bi (1 curve)	1	3+ 5- 7- 17+	-1 3+ 5- 7-  4  3 17+  7
Curve Equation t Generators 62475bi1 [1,1,1,-140367893513,20241772246427906] 1 [9814764201980:4929309554601506:21253933]
62475bj (1 curve)	1	3+ 5- 7- 17+	-1 3+ 5- 7-  4 -4 17+  7
Curve Equation t Generators 62475bj1 [1,1,1,-14113,-671644] 1 [45620:796383:125]
62475bk (1 curve)	1	3+ 5- 7- 17+	2 3+ 5- 7- -5  2 17+ -2
Curve Equation t Generators 62475bk1 [0,-1,1,-43458,533693] 1 [219674:21180675:39304]
62475bl (1 curve)	1	3+ 5- 7- 17+	-2 3+ 5- 7-  0  5 17+ -4
Curve Equation t Generators 62475bl1 [0,-1,1,-11678,-498142] 1 [152:1102:1]
62475bm (2 curves)	2	3+ 5- 7- 17-	0 3+ 5- 7-  3 -2 17- -8
Curve Equation t Generators 62475bm1 [0,-1,1,-6533,-199732] 1 [-44:24:1]&[96:220:1] 62475bm2 [0,-1,1,-43283,3353993] 1 [-233:857:1]&[-694:20311:8]
62475bn (1 curve)	0	3- 5+ 7+ 17+	0 3- 5+ 7+  4 -1 17+  1
Curve Equation t 62475bn1 [0,1,1,-80033,-9544531] 1
62475bo (1 curve)	0	3- 5+ 7+ 17+	1 3- 5+ 7+  1  1 17+ -4
Curve Equation t 62475bo1 [1,0,1,-138451,19833923] 1
62475bp (1 curve)	1	3- 5+ 7+ 17-	2 3- 5+ 7+  0 -6 17- -4
Curve Equation t Generators 62475bp1 [0,1,1,786042,-101794381] 1 [10026:427325:8]
62475bq (2 curves)	1	3- 5+ 7- 17+	0 3- 5+ 7-  3  2 17+ -8
Curve Equation t Generators 62475bq1 [0,1,1,-163333,-25293131] 1 [-241:361:1] 62475bq2 [0,1,1,-1082083,417084994] 1 [-1704658:134624843:4913]
62475br (2 curves)	1	3- 5+ 7- 17+	0 3- 5+ 7- -3 -1 17+  1
Curve Equation t Generators 62475br1 [0,1,1,817,43544] 1 [-26:73:1] 62475br2 [0,1,1,-72683,7522169] 1 [-201:3748:1]
62475bs (4 curves)	1	3- 5+ 7- 17+	1 3- 5+ 7-  0 -6 17+ -4
Curve Equation t Generators 62475bs1 [1,0,1,17124,-1449227] 2 [123673:1232274:1331] 62475bs2 [1,0,1,-136001,-15842977] 4 [501:6217:1] 62475bs3 [1,0,1,-656626,190324523] 2 [823:13994:1] 62475bs4 [1,0,1,-2065376,-1142597977] 2 [40758:2757623:8]
62475bt (4 curves)	1	3- 5+ 7- 17+	-1 3- 5+ 7-  0 -2 17+  4
Curve Equation t Generators 62475bt1 [1,0,0,350937,-11263008] 2 [972224615039:-53045276794582:347428927] 62475bt2 [1,0,0,-1419188,-90918633] 4 [-9515549:-653859413:50653] 62475bt3 [1,0,0,-14434813,21007409492] 2 [5597:337139:1] 62475bt4 [1,0,0,-16725563,-26280126258] 2 [-78691273292442:273592294849346:33355152459]
62475bu (2 curves)	1	3- 5+ 7- 17+	-1 3- 5+ 7-  0  4 17+ -2
Curve Equation t Generators 62475bu1 [1,0,0,142023412,1654191427167] 2 [447607:-299797241:1] 62475bu2 [1,0,0,-1532398463,20449576974042] 2 [15607:-586616:1]
62475bv (4 curves)	1	3- 5+ 7- 17+	-1 3- 5+ 7-  0  6 17+ -4
Curve Equation t Generators 62475bv1 [1,0,0,50812,48290367] 2 [-269:4030:1] 62475bv2 [1,0,0,-1719313,835995992] 4 [-1333:28229:1] 62475bv3 [1,0,0,-4530688,-2596692883] 2 [-1588:25169:1] 62475bv4 [1,0,0,-27229938,54688925367] 2 [3147:-14436:1]
62475bw (1 curve)	1	3- 5+ 7- 17+	-1 3- 5+ 7-  6  1 17+  4
Curve Equation t Generators 62475bw1 [1,0,0,-113,342] 1 [-9:30:1]
62475bx (1 curve)	1	3- 5+ 7- 17+	2 3- 5+ 7- -3  1 17+  7
Curve Equation t Generators 62475bx1 [0,1,1,-51858,-5347681] 1 [12826:508175:8]
62475by (1 curve)	1	3- 5+ 7- 17+	-2 3- 5+ 7-  1  1 17+ -1
Curve Equation t Generators 62475by1 [0,1,1,24092,1008844] 1 [5:125549:125]
62475bz (1 curve)	0	3- 5+ 7- 17-	0 3- 5+ 7- -3  4 17-  4
Curve Equation t 62475bz1 [0,1,1,-1143,9734] 1
62475ca (2 curves)	2	3- 5+ 7- 17-	0 3- 5+ 7- -6 -1 17- -2
Curve Equation t Generators 62475ca1 [0,1,1,-173133,36029144] 1 [-432:5512:1]&[-2406:62471:8] 62475ca2 [0,1,1,-15167133,22730385269] 1 [-1027:192937:1]&[11034:532871:8]
62475cb (1 curve)	0	3- 5+ 7- 17-	1 3- 5+ 7- -1  7 17- -8
Curve Equation t 62475cb1 [1,0,1,9,-17] 1
62475cc (1 curve)	0	3- 5+ 7- 17-	1 3- 5+ 7- -2  1 17-  8
Curve Equation t 62475cc1 [1,0,1,-661526,175132073] 1
62475cd (1 curve)	0	3- 5+ 7- 17-	1 3- 5+ 7-  4 -3 17-  7
Curve Equation t 62475cd1 [1,0,1,-5614715741,161934177971423] 1
62475ce (1 curve)	0	3- 5+ 7- 17-	1 3- 5+ 7-  4  4 17-  7
Curve Equation t 62475ce1 [1,0,1,-352826,-83249827] 1
62475cf (6 curves)	0	3- 5+ 7- 17-	1 3- 5+ 7-  4  6 17-  4
Curve Equation t 62475cf1 [1,0,1,42849,-8446427] 2 62475cf2 [1,0,1,-453276,-103702427] 4 62475cf3 [1,0,1,-1831401,847203823] 4 62475cf4 [1,0,1,-7013151,-7149008177] 2 62475cf5 [1,0,1,2670474,4358666323] 2 62475cf6 [1,0,1,-28383276,58199253823] 2
62475cg (6 curves)	0	3- 5+ 7- 17-	1 3- 5+ 7- -4 -2 17-  4
Curve Equation t 62475cg1 [1,0,1,-4783651,-4027450927] 2 62475cg2 [1,0,1,-4789776,-4016621927] 4 62475cg3 [1,0,1,-2186651,-8363840677] 2 62475cg4 [1,0,1,-7490901,1023677323] 4 62475cg5 [1,0,1,29681724,8160821323] 2 62475cg6 [1,0,1,-87881526,316476489823] 2
62475ch (2 curves)	0	3- 5+ 7- 17-	-1 3- 5+ 7- -6  4 17- -2
Curve Equation t 62475ch1 [1,0,0,-5538,-498933] 2 62475ch2 [1,0,0,-134163,-18892308] 2
62475ci (1 curve)	2	3- 5+ 7- 17-	-2 3- 5+ 7- -2 -5 17- -8
Curve Equation t Generators 62475ci1 [0,1,1,-9508,826144] 1 [23:787:1]&[-103:850:1]
62475cj (1 curve)	2	3- 5+ 7- 17-	-2 3- 5+ 7- -5 -2 17- -2
Curve Equation t Generators 62475cj1 [0,1,1,-1738,3574] 1 [-43:25:1]&[-26:178:1]
62475ck (1 curve)	0	3- 5- 7+ 17-	-1 3- 5- 7+ -1  7 17-  8
Curve Equation t 62475ck1 [1,0,0,11612,753017] 1
62475cl (1 curve)	0	3- 5- 7+ 17-	-1 3- 5- 7+  4 -3 17- -7
Curve Equation t 62475cl1 [1,0,0,-2864650888,-59014322490733] 1
62475cm (1 curve)	0	3- 5- 7- 17+	0 3- 5- 7-  2 -1 17+  1
Curve Equation t 62475cm1 [0,1,1,817,-7906] 1
62475cn (1 curve)	0	3- 5- 7- 17+	0 3- 5- 7- -5  6 17+  8
Curve Equation t 62475cn1 [0,1,1,-125615583,-541691193256] 1
62475co (1 curve)	0	3- 5- 7- 17+	-1 3- 5- 7-  1  1 17+  4
Curve Equation t 62475co1 [1,0,0,-271363,-54478558] 1
62475cp (1 curve)	2	3- 5- 7- 17+	-2 3- 5- 7-  1 -4 17+ -6
Curve Equation t Generators 62475cp1 [0,1,1,-61658,-1580806] 1 [-173:-1985:1]&[-227:877:1]
62475cq (1 curve)	0	3- 5- 7- 17+	-2 3- 5- 7-  2  7 17+ -3
Curve Equation t 62475cq1 [0,1,1,-132708,24166244] 1
62475cr (1 curve)	1	3- 5- 7- 17-	0 3- 5- 7- -3  4 17- -4
Curve Equation t Generators 62475cr1 [0,1,1,-583,-3881] 1 [-17:37:1]
62475cs (1 curve)	1	3- 5- 7- 17-	0 3- 5- 7-  4 -1 17-  2
Curve Equation t Generators 62475cs1 [0,1,1,57167,505369] 1 [683:18937:1]
62475ct (1 curve)	1	3- 5- 7- 17-	0 3- 5- 7-  4 -1 17- -2
Curve Equation t Generators 62475ct1 [0,1,1,47,4] 1 [2:10:1]
62475cu (1 curve)	1	3- 5- 7- 17-	-1 3- 5- 7-  4  4 17- -7
Curve Equation t Generators 62475cu1 [1,0,0,-288,1917] 1 [-3:54:1]
62475cv (2 curves)	1	3- 5- 7- 17-	-1 3- 5- 7-  6  4 17- -4
Curve Equation t Generators 62475cv1 [1,0,0,-148,48887] 2 [11:-226:1] 62475cv2 [1,0,0,-20973,1152612] 2 [123:-723:1]
62475cw (1 curve)	1	3- 5- 7- 17-	2 3- 5- 7-  0 -5 17- -4
Curve Equation t Generators 62475cw1 [0,1,1,-291958,-62851631] 1 [9802:301493:8]
62475cx (1 curve)	1	3- 5- 7- 17-	2 3- 5- 7-  3 -4 17-  6
Curve Equation t Generators 62475cx1 [0,1,1,-83708,-9331381] 1 [3866:63647:8]
62475cy (1 curve)	1	3- 5- 7- 17-	2 3- 5- 7- -5 -2 17-  2
Curve Equation t Generators 62475cy1 [0,1,1,-2129458,-178797881] 1 [15514:437321:8]
62475cz (1 curve)	1	3- 5- 7- 17-	-2 3- 5- 7-  0 -6 17-  4
Curve Equation t Generators 62475cz1 [0,1,1,642,2594] 1 [48:-383:1]

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