Cremona's table of elliptic curves

28322 = 2 · 7² · 17²

Class	r	Atkin-Lehner	Eigenvalues
28322a (1 curve)	1	2+ 7+ 17+	2+  1  2 7+  1  5 17+  6
Curve Equation t Generators 28322a1 [1,0,1,-64020,-7801146] 1 [170793:3055149:343]
28322b (2 curves)	1	2+ 7+ 17+	2+  2 -3 7+  0  2 17+ -7
Curve Equation t Generators 28322b1 [1,1,0,-64019,7031879] 1 [11284:66319:64] 28322b2 [1,1,0,431616,-27166936] 1 [18259635268:693935125129:65939264]
28322c (1 curve)	1	2+ 7+ 17+	2+ -3  2 7+  5 -3 17+ -2
Curve Equation t Generators 28322c1 [1,-1,0,-441646,407309524] 1 [940:28202:1]
28322d (2 curves)	0	2+ 7- 17+	2+  0 -2 7-  2  0 17+  2
Curve Equation t 28322d1 [1,-1,0,25667,-796335] 2 28322d2 [1,-1,0,-115943,-6658989] 2
28322e (1 curve)	2	2+ 7- 17+	2+ -1 -2 7-  1 -5 17+ -6
Curve Equation t Generators 28322e1 [1,1,0,-1306,22184] 1 [35:-162:1]&[-20:212:1]
28322f (1 curve)	2	2+ 7- 17+	2+ -1 -2 7- -2 -2 17+  3
Curve Equation t Generators 28322f1 [1,1,0,-711,-6971] 1 [-18:29:1]&[-15:32:1]
28322g (2 curves)	0	2+ 7- 17+	2+  2  4 7-  4  4 17+  6
Curve Equation t 28322g1 [1,1,0,445777,22410725] 2 28322g2 [1,1,0,-1819983,178748165] 2
28322h (6 curves)	0	2+ 7- 17+	2+ -2  0 7-  0  4 17+ -2
Curve Equation t 28322h1 [1,0,1,-7376,-494070] 2 28322h2 [1,0,1,-148986,-22132078] 2 28322h3 [1,0,1,63429,10324934] 2 28322h4 [1,0,1,-503011,112510710] 2 28322h5 [1,0,1,-2414746,1448261196] 2 28322h6 [1,0,1,-38666906,92542688844] 2
28322i (2 curves)	0	2+ 7- 17+	2+ -2  3 7-  0 -2 17+  7
Curve Equation t 28322i1 [1,0,1,-1307,-20688] 1 28322i2 [1,0,1,8808,80462] 1
28322j (1 curve)	0	2+ 7- 17+	2+  3 -2 7-  5  3 17+  2
Curve Equation t 28322j1 [1,-1,0,-21640663,-139663885411] 1
28322k (1 curve)	0	2+ 7- 17+	2+ -3 -2 7-  2  6 17+ -7
Curve Equation t 28322k1 [1,-1,0,-4859878,-4001406284] 1
28322l (1 curve)	1	2+ 7- 17-	2+  1  2 7-  2 -2 17-  3
Curve Equation t Generators 28322l1 [1,0,1,-205630,-32809472] 1 [-199:589:1]
28322m (1 curve)	1	2+ 7- 17-	2+  3  2 7- -2  6 17- -7
Curve Equation t Generators 28322m1 [1,-1,0,-16816,-810496] 1 [9840:168736:27]
28322n (1 curve)	0	2- 7+ 17+	2-  0  1 7+  6  4 17+  1
Curve Equation t 28322n1 [1,-1,1,117713,-211253577] 1
28322o (1 curve)	0	2- 7+ 17+	2-  3  0 7+  3  5 17+ -4
Curve Equation t 28322o1 [1,-1,1,-45555,-3739949] 1
28322p (1 curve)	0	2- 7+ 17+	2- -3  0 7+ -3  5 17+ -4
Curve Equation t 28322p1 [1,-1,1,-13165305,-18427029351] 1
28322q (2 curves)	1	2- 7- 17+	2-  0  0 7-  0 -2 17+  4
Curve Equation t Generators 28322q1 [1,-1,1,-10757935,-12827005257] 2 [22016853:824839986:4913] 28322q2 [1,-1,1,8501025,-53740739881] 2 [44375457074137:-2199162417413256:11558505581]
28322r (2 curves)	1	2- 7- 17+	2-  0  0 7-  0 -2 17+  4
Curve Equation t Generators 28322r1 [1,-1,1,-37225,-2602071] 2 [-123:384:1] 28322r2 [1,-1,1,29415,-10945399] 2 [269:3912:1]
28322s (1 curve)	1	2- 7- 17+	2-  0 -1 7-  6 -4 17+ -1
Curve Equation t Generators 28322s1 [1,-1,1,2402,615213] 1 [81:1115:1]
28322t (4 curves)	1	2- 7- 17+	2-  0  2 7-  0  2 17+ -4
Curve Equation t Generators 28322t1 [1,-1,1,-264634,-51489175] 2 [13875325:401852033:12167] 28322t2 [1,-1,1,-547854,78338873] 4 [-27511271766655560:-3078960569715448819:267587976384000] 28322t3 [1,-1,1,1859516,579071833] 2 [611835936182267658648134398:40589713659645814730372518785:859850354761618701226472] 28322t4 [1,-1,1,-7486744,7883202345] 2 [-201315690:-72542549557:729000]
28322u (1 curve)	1	2- 7- 17+	2-  1 -2 7-  2 -4 17+  1
Curve Equation t Generators 28322u1 [1,0,0,-2794,-56120] 1 [-3420:2396:125]
28322v (2 curves)	1	2- 7- 17+	2-  1  3 7-  0 -5 17+  4
Curve Equation t Generators 28322v1 [1,0,0,-28732964,-59296541368] 1 [2256455086487836518:-5651287328828214565018:359880591897] 28322v2 [1,0,0,12192326,-209860683278] 1 [26288121787901174306032578533853315987017387927312408387820:-65838576738719456744673478726993981971295736352065732318607647:4192676758527912546962160105826641121967941165272000]
28322w (1 curve)	1	2- 7- 17+	2-  1 -4 7-  0  2 17+ -3
Curve Equation t Generators 28322w1 [1,0,0,-58605,5455841] 1 [130:131:1]
28322x (1 curve)	1	2- 7- 17+	2- -1  0 7- -4  2 17+  3
Curve Equation t Generators 28322x1 [1,1,1,-9458,294783] 1 [-71:819:1]
28322y (1 curve)	1	2- 7- 17+	2- -1  2 7-  2  4 17+ -1
Curve Equation t Generators 28322y1 [1,1,1,-57,139] 1 [-1:14:1]
28322z (2 curves)	1	2- 7- 17+	2-  2  0 7-  2  2 17+  0
Curve Equation t Generators 28322z1 [1,1,1,-255193,49291843] 2 [1533078:-4725287:5832] 28322z2 [1,1,1,-396803,-11713745] 2 [-53902349010:1333718757917:142236648]
28322ba (4 curves)	1	2- 7- 17+	2- -2  0 7- -6 -2 17+  4
Curve Equation t Generators 28322ba1 [1,0,0,-42778,-2111964] 2 [-78:906:1] 28322ba2 [1,0,0,-609218,-183032900] 2 [1418:41774:1] 28322ba3 [1,0,0,-1458878,678012544] 2 [27114:4801183:216] 28322ba4 [1,0,0,-1600488,538413406] 2 [2067330:-551938181:27000]
28322bb (2 curves)	1	2- 7- 17+	2- -2 -4 7-  6  2 17+  0
Curve Equation t Generators 28322bb1 [1,0,0,-849955,-35461119] 2 [-724:14523:1] 28322bb2 [1,0,0,-9912995,-11989610879] 2 [-1812:5819:1]
28322bc (1 curve)	1	2- 7- 17+	2-  3  0 7- -3 -5 17+  4
Curve Equation t Generators 28322bc1 [1,-1,1,-268680,53799883] 1 [9327:34627:27]
28322bd (1 curve)	1	2- 7- 17+	2- -3  0 7-  3 -5 17+  4
Curve Equation t Generators 28322bd1 [1,-1,1,-930,11169] 1 [13:27:1]
28322be (1 curve)	1	2- 7- 17+	2- -3 -1 7-  0 -1 17+ -4
Curve Equation t Generators 28322be1 [1,-1,1,-573,6885] 1 [9:-54:1]
28322bf (1 curve)	0	2- 7- 17-	2-  1  0 7-  4  2 17-  3
Curve Equation t 28322bf1 [1,0,0,-2733368,1467403328] 1
28322bg (1 curve)	0	2- 7- 17-	2-  1 -2 7- -2  4 17- -1
Curve Equation t 28322bg1 [1,0,0,-16479,799133] 1
28322bh (1 curve)	0	2- 7- 17-	2- -1  2 7- -2 -4 17-  1
Curve Equation t 28322bh1 [1,1,1,-807472,-274910091] 1
28322bi (2 curves)	0	2- 7- 17-	2- -1 -3 7-  0 -5 17-  4
Curve Equation t 28322bi1 [1,1,1,-99422,-12110253] 1 28322bi2 [1,1,1,42188,-42698013] 1
28322bj (1 curve)	0	2- 7- 17-	2- -1  4 7-  0  2 17- -3
Curve Equation t 28322bj1 [1,1,1,-16936851,26821483681] 1
28322bk (1 curve)	0	2- 7- 17-	2-  3  1 7-  0 -1 17- -4
Curve Equation t 28322bk1 [1,-1,1,-165507,33165283] 1

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