Cremona's table of elliptic curves

51520 = 2⁶ · 5 · 7 · 23

Class	r	Atkin-Lehner	Eigenvalues
51520a (2 curves)	1	2+ 5+ 7+ 23+	2+  0 5+ 7+  0 -4  0  6
Curve Equation t Generators 51520a1 [0,0,0,172,352] 2 [6:40:1] 51520a2 [0,0,0,-748,2928] 2 [-24:84:1]
51520b (2 curves)	1	2+ 5+ 7+ 23+	2+  0 5+ 7+ -2  4  6  0
Curve Equation t Generators 51520b1 [0,0,0,-188,912] 2 [-4:40:1] 51520b2 [0,0,0,212,4272] 2 [4:72:1]
51520c (4 curves)	1	2+ 5+ 7+ 23+	2+  0 5+ 7+  4  2 -6  4
Curve Equation t Generators 51520c1 [0,0,0,-2348,-30672] 2 [56:116:1] 51520c2 [0,0,0,-34348,-2449872] 4 [3256:185484:1] 51520c3 [0,0,0,-31148,-2924752] 2 [355988281623:-3003278627881:1446731091] 51520c4 [0,0,0,-549548,-156803792] 2 [195151944:10880210836:59319]
51520d (1 curve)	1	2+ 5+ 7+ 23+	2+  1 5+ 7+ -5 -1 -3  4
Curve Equation t Generators 51520d1 [0,1,0,11979,535955] 1 [-4930:7613:125]
51520e (1 curve)	1	2+ 5+ 7+ 23+	2+ -1 5+ 7+  3 -5  3  0
Curve Equation t Generators 51520e1 [0,-1,0,-511,4781] 1 [68:529:1]
51520f (2 curves)	1	2+ 5+ 7+ 23+	2+  2 5+ 7+  0 -2 -2  4
Curve Equation t Generators 51520f1 [0,-1,0,-161,161] 2 [19:60:1] 51520f2 [0,-1,0,639,641] 2 [273:2420:27]
51520g (1 curve)	0	2+ 5+ 7+ 23-	2+  1 5+ 7+ -1 -5 -7  4
Curve Equation t 51520g1 [0,1,0,-8286181,-9183545981] 1
51520h (1 curve)	2	2+ 5+ 7+ 23-	2+  1 5+ 7+  2 -3 -6 -6
Curve Equation t Generators 51520h1 [0,1,0,639,-1561] 1 [10:77:1]&[1234:43375:1]
51520i (2 curves)	2	2+ 5+ 7+ 23-	2+ -2 5+ 7+  0 -6 -2 -4
Curve Equation t Generators 51520i1 [0,1,0,-201,1015] 2 [-13:40:1]&[-3:40:1] 51520i2 [0,1,0,-1,3135] 2 [-11:44:1]&[-1:56:1]
51520j (2 curves)	2	2+ 5+ 7+ 23-	2+ -2 5+ 7+  2  4  2 -8
Curve Equation t Generators 51520j1 [0,1,0,-481,-1281] 2 [-5:32:1]&[-3:12:1] 51520j2 [0,1,0,-4481,113119] 2 [27:112:1]&[-51:460:1]
51520k (2 curves)	0	2+ 5+ 7- 23+	2+ -1 5+ 7-  6  1  6 -2
Curve Equation t 51520k1 [0,-1,0,-10531241,13157801905] 1 51520k2 [0,-1,0,-10425241,13435530305] 1
51520l (2 curves)	0	2+ 5+ 7- 23+	2+  2 5+ 7-  0 -6 -2  4
Curve Equation t 51520l1 [0,-1,0,-201,-1015] 2 51520l2 [0,-1,0,-1,-3135] 2
51520m (2 curves)	1	2+ 5+ 7- 23-	2+  0 5+ 7-  0 -4  0 -6
Curve Equation t Generators 51520m1 [0,0,0,172,-352] 2 [4:20:1] 51520m2 [0,0,0,-748,-2928] 2 [-11:63:1]
51520n (1 curve)	1	2+ 5+ 7- 23-	2+  1 5+ 7-  2  1 -2  2
Curve Equation t Generators 51520n1 [0,1,0,-721,14455] 1 [42:245:1]
51520o (1 curve)	1	2+ 5+ 7- 23-	2+  1 5+ 7- -3 -5  3  0
Curve Equation t Generators 51520o1 [0,1,0,-511,-4781] 1 [162:2047:1]
51520p (1 curve)	1	2+ 5+ 7- 23-	2+ -1 5+ 7-  2  1 -8 -2
Curve Equation t Generators 51520p1 [0,-1,0,408919,64508881] 1 [2096:100625:1]
51520q (2 curves)	1	2+ 5+ 7- 23-	2+  2 5+ 7-  2  4 -2  4
Curve Equation t Generators 51520q1 [0,-1,0,-583681,164685825] 2 [675:8820:1] 51520q2 [0,-1,0,-1607681,-569931775] 2 [6913:564480:1]
51520r (2 curves)	0	2+ 5- 7+ 23+	2+  0 5- 7+  0 -4  4  2
Curve Equation t 51520r1 [0,0,0,-56972,-7099664] 2 51520r2 [0,0,0,-999052,-384308496] 2
51520s (1 curve)	0	2+ 5- 7+ 23+	2+  1 5- 7+ -2  1  4 -2
Curve Equation t 51520s1 [0,1,0,-13105,-581897] 1
51520t (1 curve)	0	2+ 5- 7+ 23+	2+  1 5- 7+  5 -3 -5  0
Curve Equation t 51520t1 [0,1,0,92015,19236025] 1
51520u (2 curves)	0	2+ 5- 7+ 23+	2+  2 5- 7+  4 -2 -6 -4
Curve Equation t 51520u1 [0,-1,0,-10185,-390775] 2 51520u2 [0,-1,0,-5185,-779775] 2
51520v (1 curve)	0	2+ 5- 7+ 23+	2+  3 5- 7+  6  5 -2  2
Curve Equation t 51520v1 [0,0,0,-52,296] 1
51520w (4 curves)	1	2+ 5- 7+ 23-	2+  0 5- 7+  0 -2 -2 -4
Curve Equation t Generators 51520w1 [0,0,0,88,744] 2 [30:784:27] 51520w2 [0,0,0,-892,8976] 4 [30:96:1] 51520w3 [0,0,0,-3692,-77264] 2 [100:744:1] 51520w4 [0,0,0,-13772,622064] 2 [70:32:1]
51520x (2 curves)	1	2+ 5- 7+ 23-	2+  0 5- 7+  2  0  2  0
Curve Equation t Generators 51520x1 [0,0,0,-86252,3222704] 2 [280:1012:1] 51520x2 [0,0,0,323348,25013424] 2 [19405:2704317:1]
51520y (2 curves)	1	2+ 5- 7+ 23-	2+  0 5- 7+ -2 -4 -6  8
Curve Equation t Generators 51520y1 [0,0,0,-10412,-408784] 2 [280:4316:1] 51520y2 [0,0,0,-8812,-538704] 2 [613080:9508812:2197]
51520z (4 curves)	1	2+ 5- 7+ 23-	2+  0 5- 7+  4  2  6 -4
Curve Equation t Generators 51520z1 [0,0,0,148,1206704] 2 [308:5520:1] 51520z2 [0,0,0,-169132,26327856] 4 [550:9984:1] 51520z3 [0,0,0,-353132,-41163344] 2 [18300:149968:27] 51520z4 [0,0,0,-2693612,1701572784] 2 [950:128:1]
51520ba (2 curves)	1	2+ 5- 7+ 23-	2+  0 5- 7+ -6  0 -2  4
Curve Equation t Generators 51520ba1 [0,0,0,113,-516] 2 [8:30:1] 51520ba2 [0,0,0,-692,-5024] 2 [-18:40:1]
51520bb (1 curve)	1	2+ 5- 7+ 23-	2+  1 5- 7+  2  5 -6  6
Curve Equation t Generators 51520bb1 [0,1,0,-3745,87175] 1 [18:161:1]
51520bc (2 curves)	1	2+ 5- 7+ 23-	2+  2 5- 7+  6 -4  2  4
Curve Equation t Generators 51520bc1 [0,-1,0,-17185,-527583] 2 [339:5700:1] 51520bc2 [0,-1,0,-117185,15092417] 2 [-191:5520:1]
51520bd (1 curve)	1	2+ 5- 7+ 23-	2+ -3 5- 7+  1 -7  3  8
Curve Equation t Generators 51520bd1 [0,0,0,-52,394] 1 [-5:23:1]
51520be (4 curves)	1	2+ 5- 7- 23+	2+  0 5- 7-  0  6 -2  4
Curve Equation t Generators 51520be1 [0,0,0,-19052,-508496] 2 [-72:700:1] 51520be2 [0,0,0,-147052,21353904] 4 [405:5313:1] 51520be3 [0,0,0,148,62157744] 2 [7095:242011:27] 51520be4 [0,0,0,-2342252,1379743664] 2 [25320:76076:27]
51520bf (2 curves)	1	2+ 5- 7- 23+	2+  0 5- 7-  6  0 -2 -4
Curve Equation t Generators 51520bf1 [0,0,0,113,516] 2 [12:60:1] 51520bf2 [0,0,0,-692,5024] 2 [-2:80:1]
51520bg (4 curves)	1	2+ 5- 7- 23+	2+  2 5- 7-  0 -2 -6  4
Curve Equation t Generators 51520bg1 [0,-1,0,-9665,358337] 2 [67:84:1] 51520bg2 [0,-1,0,3135,1226177] 2 [1352:49749:1] 51520bg3 [0,-1,0,-108225,-13549375] 2 [707:16212:1] 51520bg4 [0,-1,0,-28225,-33213375] 2 [6379527:153227332:9261]
51520bh (1 curve)	0	2+ 5- 7- 23-	2+ -1 5- 7-  3 -3  3  0
Curve Equation t 51520bh1 [0,-1,0,-805,-9475] 1
51520bi (4 curves)	0	2+ 5- 7- 23-	2+  2 5- 7-  6  4  6 -8
Curve Equation t 51520bi1 [0,-1,0,-117825,15539777] 2 51520bi2 [0,-1,0,-181825,-3135423] 2 51520bi3 [0,-1,0,-677185,-203075775] 2 51520bi4 [0,-1,0,-10677185,-13425075775] 2
51520bj (2 curves)	2	2+ 5- 7- 23-	2+ -2 5- 7- -4 -2 -6  4
Curve Equation t Generators 51520bj1 [0,1,0,-10185,390775] 2 [35:280:1]&[-70:875:1] 51520bj2 [0,1,0,-5185,779775] 2 [15:-840:1]&[-65:920:1]
51520bk (1 curve)	0	2- 5+ 7+ 23+	2-  1 5+ 7+ -2  1 -8  2
Curve Equation t 51520bk1 [0,1,0,408919,-64508881] 1
51520bl (1 curve)	2	2- 5+ 7+ 23+	2- -1 5+ 7+ -2  1 -2 -2
Curve Equation t Generators 51520bl1 [0,-1,0,-721,-14455] 1 [56:343:1]&[128:1405:1]
51520bm (2 curves)	2	2- 5+ 7+ 23+	2- -2 5+ 7+ -2  0 -2  0
Curve Equation t Generators 51520bm1 [0,1,0,-281,-1625] 2 [-11:16:1]&[-9:16:1] 51520bm2 [0,1,0,-1281,15775] 2 [-38:105:1]&[-21:184:1]
51520bn (2 curves)	0	2- 5+ 7+ 23+	2- -2 5+ 7+ -2  4 -2 -4
Curve Equation t 51520bn1 [0,1,0,-583681,-164685825] 2 51520bn2 [0,1,0,-1607681,569931775] 2
51520bo (2 curves)	1	2- 5+ 7+ 23-	2-  1 5+ 7+ -6  1  6  2
Curve Equation t Generators 51520bo1 [0,1,0,-10531241,-13157801905] 1 [254167294:10620908375:54872] 51520bo2 [0,1,0,-10425241,-13435530305] 1 [30666:433895:8]
51520bp (2 curves)	1	2- 5+ 7+ 23-	2- -2 5+ 7+ -2  4 -6 -4
Curve Equation t Generators 51520bp1 [0,1,0,-711114201,5273453805799] 2 [2040988894:1106201171875:636056] 51520bp2 [0,1,0,-10476739201,412701188180799] 2 [17074:15453125:1]
51520bq (1 curve)	1	2- 5+ 7- 23+	2- -1 5+ 7-  1 -5 -7 -4
Curve Equation t Generators 51520bq1 [0,-1,0,-8286181,9183545981] 1 [1660:161:1]
51520br (1 curve)	1	2- 5+ 7- 23+	2- -1 5+ 7- -2 -3 -6  6
Curve Equation t Generators 51520br1 [0,-1,0,639,1561] 1 [16:125:1]
51520bs (2 curves)	1	2- 5+ 7- 23+	2-  2 5+ 7-  2  4 -6  4
Curve Equation t Generators 51520bs1 [0,-1,0,-711114201,-5273453805799] 2 [157200998778954352658927564822447981942404895280647679889414792222634563667134295366129262810967244973201:24994449504910223820009411146985979564196535109129914291460776277258377125488358153790485857566980468750000:3563695135781177328341825528143472337327146424734950958346701694288079523194091176812365112809810901] 51520bs2 [0,-1,0,-10476739201,-412701188180799] 2 [907942001805682596007001142236063322053534158763631029349:290927260880189505145416660105514926913533709524927441125000:5168151438752795676190022002518537204359260133014149]
51520bt (2 curves)	1	2- 5+ 7- 23+	2-  2 5+ 7- -2  4  2  8
Curve Equation t Generators 51520bt1 [0,-1,0,-481,1281] 2 [471:10200:1] 51520bt2 [0,-1,0,-4481,-113119] 2 [85:336:1]
51520bu (2 curves)	0	2- 5+ 7- 23-	2-  0 5+ 7-  2  4  6  0
Curve Equation t 51520bu1 [0,0,0,-188,-912] 2 51520bu2 [0,0,0,212,-4272] 2
51520bv (4 curves)	2	2- 5+ 7- 23-	2-  0 5+ 7- -4  2 -6 -4
Curve Equation t Generators 51520bv1 [0,0,0,-2348,30672] 2 [-4:200:1]&[44:112:1] 51520bv2 [0,0,0,-34348,2449872] 4 [-144:2100:1]&[16:1380:1] 51520bv3 [0,0,0,-31148,2924752] 2 [-51:2093:1]&[138:1120:1] 51520bv4 [0,0,0,-549548,156803792] 2 [464:1308:1]&[1328:42060:1]
51520bw (1 curve)	0	2- 5+ 7- 23-	2- -1 5+ 7-  5 -1 -3 -4
Curve Equation t 51520bw1 [0,-1,0,11979,-535955] 1
51520bx (2 curves)	0	2- 5+ 7- 23-	2-  2 5+ 7-  2  0 -2  0
Curve Equation t 51520bx1 [0,-1,0,-281,1625] 2 51520bx2 [0,-1,0,-1281,-15775] 2
51520by (2 curves)	2	2- 5+ 7- 23-	2- -2 5+ 7-  0 -2 -2 -4
Curve Equation t Generators 51520by1 [0,1,0,-161,-161] 2 [-11:20:1]&[-6:25:1] 51520by2 [0,1,0,639,-641] 2 [15:-112:1]&[26:185:1]
51520bz (1 curve)	1	2- 5- 7+ 23+	2-  1 5- 7+ -3 -3  3  0
Curve Equation t Generators 51520bz1 [0,1,0,-805,9475] 1 [30:115:1]
51520ca (4 curves)	1	2- 5- 7+ 23+	2- -2 5- 7+ -6  4  6  8
Curve Equation t Generators 51520ca1 [0,1,0,-117825,-15539777] 2 [-207:152:1] 51520ca2 [0,1,0,-181825,3135423] 2 [431:2240:1] 51520ca3 [0,1,0,-677185,203075775] 2 [305:5000:1] 51520ca4 [0,1,0,-10677185,13425075775] 2 [1935:-3680:1]
51520cb (4 curves)	0	2- 5- 7+ 23-	2-  0 5- 7+  0  6 -2 -4
Curve Equation t 51520cb1 [0,0,0,-19052,508496] 2 51520cb2 [0,0,0,-147052,-21353904] 4 51520cb3 [0,0,0,148,-62157744] 2 51520cb4 [0,0,0,-2342252,-1379743664] 2
51520cc (4 curves)	2	2- 5- 7+ 23-	2- -2 5- 7+  0 -2 -6 -4
Curve Equation t Generators 51520cc1 [0,1,0,-9665,-358337] 2 [-59:100:1]&[-54:95:1] 51520cc2 [0,1,0,3135,-1226177] 2 [143:1472:1]&[458:9823:1] 51520cc3 [0,1,0,-108225,13549375] 2 [303:2944:1]&[-145:5120:1] 51520cc4 [0,1,0,-28225,33213375] 2 [-305:3680:1]&[-95:5920:1]
51520cd (4 curves)	0	2- 5- 7- 23+	2-  0 5- 7-  0 -2 -2  4
Curve Equation t 51520cd1 [0,0,0,88,-744] 2 51520cd2 [0,0,0,-892,-8976] 4 51520cd3 [0,0,0,-3692,77264] 2 51520cd4 [0,0,0,-13772,-622064] 2
51520ce (2 curves)	2	2- 5- 7- 23+	2-  0 5- 7-  2 -4 -6 -8
Curve Equation t Generators 51520ce1 [0,0,0,-10412,408784] 2 [-102:640:1]&[13:525:1] 51520ce2 [0,0,0,-8812,538704] 2 [-100:648:1]&[10:672:1]
51520cf (2 curves)	0	2- 5- 7- 23+	2-  0 5- 7- -2  0  2  0
Curve Equation t 51520cf1 [0,0,0,-86252,-3222704] 2 51520cf2 [0,0,0,323348,-25013424] 2
51520cg (4 curves)	0	2- 5- 7- 23+	2-  0 5- 7- -4  2  6  4
Curve Equation t 51520cg1 [0,0,0,148,-1206704] 2 51520cg2 [0,0,0,-169132,-26327856] 4 51520cg3 [0,0,0,-353132,41163344] 2 51520cg4 [0,0,0,-2693612,-1701572784] 2
51520ch (1 curve)	0	2- 5- 7- 23+	2- -1 5- 7- -2  5 -6 -6
Curve Equation t 51520ch1 [0,-1,0,-3745,-87175] 1
51520ci (2 curves)	2	2- 5- 7- 23+	2- -2 5- 7- -6 -4  2 -4
Curve Equation t Generators 51520ci1 [0,1,0,-17185,527583] 2 [161:1400:1]&[-134:665:1] 51520ci2 [0,1,0,-117185,-15092417] 2 [-219:340:1]&[-209:560:1]
51520cj (1 curve)	0	2- 5- 7- 23+	2-  3 5- 7- -1 -7  3 -8
Curve Equation t 51520cj1 [0,0,0,-52,-394] 1
51520ck (2 curves)	1	2- 5- 7- 23-	2-  0 5- 7-  0 -4  4 -2
Curve Equation t Generators 51520ck1 [0,0,0,-56972,7099664] 2 [128:1380:1] 51520ck2 [0,0,0,-999052,384308496] 2 [482:3840:1]
51520cl (1 curve)	1	2- 5- 7- 23-	2- -1 5- 7-  2  1  4  2
Curve Equation t Generators 51520cl1 [0,-1,0,-13105,581897] 1 [64:35:1]
51520cm (1 curve)	1	2- 5- 7- 23-	2- -1 5- 7- -5 -3 -5  0
Curve Equation t Generators 51520cm1 [0,-1,0,92015,-19236025] 1 [290:5635:1]
51520cn (1 curve)	1	2- 5- 7- 23-	2- -3 5- 7- -6  5 -2 -2
Curve Equation t Generators 51520cn1 [0,0,0,-52,-296] 1 [13:35:1]

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