Cremona's table of elliptic curves

21175 = 5² · 7 · 11²

Class	r	Atkin-Lehner	Eigenvalues
21175a (2 curves)	1	5+ 7+ 11+	1  0 5+ 7+ 11+ -4  0 -4
Curve Equation t Generators 21175a1 [1,-1,0,-292,1491] 2 [114:1143:1] 21175a2 [1,-1,0,-1667,-24634] 2 [-26:38:1]
21175b (1 curve)	1	5+ 7+ 11+	1 -1 5+ 7+ 11+  2 -7  4
Curve Equation t Generators 21175b1 [1,1,0,-35,70] 1 [6:8:1]
21175c (2 curves)	1	5+ 7+ 11+	1  2 5+ 7+ 11+  2  2  4
Curve Equation t Generators 21175c1 [1,1,0,1622850,-81270625] 2 [234668185732661693758244598:14105129327104068625340667989:74081316404989279301553] 21175c2 [1,1,0,-6529525,-660089250] 2 [4788914371394670:536511552628130790:363841426619]
21175d (1 curve)	1	5+ 7+ 11+	1  3 5+ 7+ 11+  2 -3 -4
Curve Equation t Generators 21175d1 [1,-1,0,6603008,-1118312959] 1 [1167863464854083931712031225785082744364202607664:95717665126990286965782006247096739942841343642297:205946491055175250626782155628215189447819983]
21175e (1 curve)	1	5+ 7+ 11+	-2  0 5+ 7+ 11+ -1  3  5
Curve Equation t Generators 21175e1 [0,0,1,-4824875,4079220516] 1 [34122:7307:27]
21175f (1 curve)	0	5+ 7+ 11-	0  3 5+ 7+ 11- -4  2  6
Curve Equation t 21175f1 [0,0,1,6050,-41594] 1
21175g (1 curve)	0	5+ 7+ 11-	1 -1 5+ 7+ 11-  2  4  4
Curve Equation t 21175g1 [1,1,0,-7625,-259310] 1
21175h (2 curves)	0	5+ 7+ 11-	1 -2 5+ 7+ 11-  4  4  0
Curve Equation t 21175h1 [1,0,1,10524,-1576027] 2 21175h2 [1,0,1,-155851,-21873777] 2
21175i (4 curves)	0	5+ 7+ 11-	-1  0 5+ 7+ 11- -6  6  4
Curve Equation t 21175i1 [1,-1,1,-110980,-19120978] 2 21175i2 [1,-1,1,-1941105,-1040330728] 4 21175i3 [1,-1,1,-2107480,-851328728] 2 21175i4 [1,-1,1,-31056730,-66608718228] 2
21175j (1 curve)	0	5+ 7+ 11-	-1 -3 5+ 7+ 11- -6  0  4
Curve Equation t 21175j1 [1,-1,1,-7305,110322] 1
21175k (1 curve)	0	5+ 7+ 11-	2  0 5+ 7+ 11- -3 -3  7
Curve Equation t 21175k1 [0,0,1,-605,4991] 1
21175l (2 curves)	0	5+ 7- 11+	-1  0 5+ 7- 11+  4  0  4
Curve Equation t 21175l1 [1,-1,1,-35355,-1878478] 2 21175l2 [1,-1,1,-201730,33393022] 2
21175m (1 curve)	0	5+ 7- 11+	-1 -1 5+ 7- 11+ -2  7 -4
Curve Equation t 21175m1 [1,1,1,-4298,-114564] 1
21175n (2 curves)	0	5+ 7- 11+	-1  2 5+ 7- 11+ -2 -2 -4
Curve Equation t 21175n1 [1,1,1,13412,67156] 2 21175n2 [1,1,1,-53963,471406] 2
21175o (1 curve)	0	5+ 7- 11+	-1  3 5+ 7- 11+ -2  3  4
Curve Equation t 21175o1 [1,-1,1,54570,825322] 1
21175p (1 curve)	0	5+ 7- 11+	2  0 5+ 7- 11+  1 -3 -5
Curve Equation t 21175p1 [0,0,1,-39875,-3064779] 1
21175q (3 curves)	1	5+ 7- 11-	0 -1 5+ 7- 11- -4 -6 -2
Curve Equation t Generators 21175q1 [0,-1,1,-270233,-53980257] 1 [851:18210:1] 21175q2 [0,-1,1,-149233,-102546632] 1 [598:4658:1] 21175q3 [0,-1,1,1333017,2655179493] 1 [-479224:12400671:512]
21175r (3 curves)	1	5+ 7- 11-	0 -1 5+ 7- 11-  5  3 -2
Curve Equation t Generators 21175r1 [0,-1,1,-4033,-108032] 1 [112:912:1] 21175r2 [0,-1,1,26217,270093] 1 [-3:437:1] 21175r3 [0,-1,1,-397283,100957218] 1 [-3654:109371:8]
21175s (2 curves)	1	5+ 7- 11-	0  2 5+ 7- 11- -1  3  1
Curve Equation t Generators 21175s1 [0,-1,1,-100833,-852182] 1 [-304:1270:1] 21175s2 [0,-1,1,-5394583,4824400943] 1 [-16182:690785:8]
21175t (1 curve)	1	5+ 7- 11-	1 -3 5+ 7- 11-  6  0 -4
Curve Equation t Generators 21175t1 [1,-1,0,-883867,-144187334] 1 [-510:13436:1]
21175u (1 curve)	1	5+ 7- 11-	-1 -1 5+ 7- 11- -2 -4 -4
Curve Equation t Generators 21175u1 [1,1,1,-63,166] 1 [4:-2:1]
21175v (2 curves)	1	5+ 7- 11-	-1  2 5+ 7- 11-  4 -4  8
Curve Equation t Generators 21175v1 [1,1,1,-63,-1164844] 2 [2193570:119251963:729] 21175v2 [1,1,1,-166438,-25788344] 2 [12040:1314392:1]
21175w (1 curve)	0	5- 7+ 11+	1  1 5- 7+ 11+  2 -7 -4
Curve Equation t 21175w1 [1,0,1,-107451,-14105577] 1
21175x (1 curve)	0	5- 7+ 11+	1 -3 5- 7+ 11+  2 -3  4
Curve Equation t 21175x1 [1,-1,0,2183,6166] 1
21175y (1 curve)	0	5- 7+ 11+	-2  0 5- 7+ 11+ -1  3 -5
Curve Equation t 21175y1 [0,0,1,-996875,-383097344] 1
21175z (2 curves)	1	5- 7+ 11-	0 -2 5- 7+ 11-  1 -3  1
Curve Equation t Generators 21175z1 [0,1,1,-4033,-8431] 1 [-37:302:1] 21175z2 [0,1,1,-215783,38508894] 1 [194:1996:1]
21175ba (1 curve)	1	5- 7+ 11-	1  1 5- 7+ 11-  2  4 -4
Curve Equation t Generators 21175ba1 [1,0,1,-1576,23923] 1 [-19:226:1]
21175bb (2 curves)	1	5- 7+ 11-	1 -2 5- 7+ 11- -6 -6  0
Curve Equation t Generators 21175bb1 [1,0,1,-243576,48481673] 2 [211:2442:1] 21175bb2 [1,0,1,-3949201,3020392923] 2 [813:18227:1]
21175bc (2 curves)	1	5- 7+ 11-	-1  2 5- 7+ 11- -2 -2  0
Curve Equation t Generators 21175bc1 [1,1,1,172362,-157527094] 2 [871099353564:10306455834382:1820316861] 21175bc2 [1,1,1,-3533263,-2417958344] 2 [3075710:54356917:1331]
21175bd (1 curve)	1	5- 7+ 11-	-1  3 5- 7+ 11- -6  0 -4
Curve Equation t Generators 21175bd1 [1,-1,1,-35355,-1146428] 1 [-102979290:534875909:658503]
21175be (2 curves)	1	5- 7+ 11-	2 -1 5- 7+ 11-  1  7  0
Curve Equation t Generators 21175be1 [0,-1,1,202,1473] 1 [106:631:8] 21175be2 [0,-1,1,-17948,-924177] 1 [370738215654:8379533391489:676836152]
21175bf (1 curve)	1	5- 7- 11+	-1  1 5- 7- 11+ -2  7  4
Curve Equation t Generators 21175bf1 [1,0,0,-888,10517] 1 [-23:149:1]
21175bg (1 curve)	1	5- 7- 11+	-1 -3 5- 7- 11+ -2  3 -4
Curve Equation t Generators 21175bg1 [1,-1,1,264120,-8999328] 1 [938:32140:1]
21175bh (1 curve)	1	5- 7- 11+	2  0 5- 7- 11+  1 -3  5
Curve Equation t Generators 21175bh1 [0,0,1,-120621875,509902564531] 1 [3106312:19202081:512]
21175bi (2 curves)	0	5- 7- 11-	1 -2 5- 7- 11-  2  2  0
Curve Equation t 21175bi1 [1,0,1,6894,-1260217] 2 21175bi2 [1,0,1,-141331,-19343667] 2
21175bj (1 curve)	0	5- 7- 11-	1  3 5- 7- 11-  6  0  4
Curve Equation t 21175bj1 [1,-1,0,-292,941] 1
21175bk (1 curve)	0	5- 7- 11-	-1  1 5- 7- 11- -2 -4  4
Curve Equation t 21175bk1 [1,0,0,-190638,-32032483] 1
21175bl (2 curves)	0	5- 7- 11-	-1  2 5- 7- 11-  6  6  0
Curve Equation t 21175bl1 [1,1,1,-9743,383956] 2 21175bl2 [1,1,1,-157968,24099956] 2
21175bm (1 curve)	0	5- 7- 11-	-2  0 5- 7- 11-  3  3  7
Curve Equation t 21175bm1 [0,0,1,-15125,623906] 1
21175bn (2 curves)	0	5- 7- 11-	-2  1 5- 7- 11- -1 -7  0
Curve Equation t 21175bn1 [0,1,1,5042,194244] 1 21175bn2 [0,1,1,-448708,-116419506] 1

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