Cremona's table of elliptic curves

17430 = 2 · 3 · 5 · 7 · 83

Class	r	Atkin-Lehner	Eigenvalues
17430a (4 curves)	1	2+ 3+ 5+ 7+ 83+	2+ 3+ 5+ 7+  4  2  2  4
Curve Equation t Generators 17430a1 [1,1,0,-13638,-618732] 2 [30220:385818:125] 17430a2 [1,1,0,-13958,-588588] 4 [-77:231:1] 17430a3 [1,1,0,-48958,3492412] 2 [923:26846:1] 17430a4 [1,1,0,15922,-2733972] 2 [20255:244011:125]
17430b (4 curves)	1	2+ 3+ 5+ 7- 83-	2+ 3+ 5+ 7-  0  2  6  0
Curve Equation t Generators 17430b1 [1,1,0,-7423,-65723] 2 [-19:272:1] 17430b2 [1,1,0,-70143,7071813] 4 [126:441:1] 17430b3 [1,1,0,-1120143,455841813] 2 [-406:29253:1] 17430b4 [1,1,0,-23663,16358517] 2 [707:18452:1]
17430c (1 curve)	1	2+ 3+ 5+ 7- 83-	2+ 3+ 5+ 7- -1  1  4 -6
Curve Equation t Generators 17430c1 [1,1,0,-5603,159117] 1 [43:-19:1]
17430d (2 curves)	1	2+ 3+ 5+ 7- 83-	2+ 3+ 5+ 7- -2  0  0  2
Curve Equation t Generators 17430d1 [1,1,0,-9788,220368] 2 [-101:488:1] 17430d2 [1,1,0,30212,1604368] 2 [96:2276:1]
17430e (1 curve)	1	2+ 3+ 5+ 7- 83-	2+ 3+ 5+ 7-  3 -1  0 -6
Curve Equation t Generators 17430e1 [1,1,0,7,3] 1 [1:3:1]
17430f (1 curve)	1	2+ 3+ 5+ 7- 83-	2+ 3+ 5+ 7-  3 -5  0  2
Curve Equation t Generators 17430f1 [1,1,0,2916897,323644293] 1 [33344087857476451:82988605112231449508:4466121014233241]
17430g (2 curves)	0	2+ 3+ 5- 7+ 83+	2+ 3+ 5- 7+ -2  2  8  4
Curve Equation t 17430g1 [1,1,0,-97311967552,11561421736167616] 2 17430g2 [1,1,0,-18218897832,29811625559797464] 2
17430h (1 curve)	2	2+ 3+ 5- 7+ 83+	2+ 3+ 5- 7+ -2 -4 -7 -8
Curve Equation t Generators 17430h1 [1,1,0,-457,3589] 1 [-22:71:1]&[1012:-2111:64]
17430i (4 curves)	0	2+ 3+ 5- 7- 83-	2+ 3+ 5- 7- -4  6 -2 -4
Curve Equation t 17430i1 [1,1,0,-492,-2736] 2 17430i2 [1,1,0,-6972,-226944] 4 17430i3 [1,1,0,-111552,-14387076] 2 17430i4 [1,1,0,-6072,-286524] 4
17430j (1 curve)	2	2+ 3+ 5- 7- 83-	2+ 3+ 5- 7- -6 -4 -3 -8
Curve Equation t Generators 17430j1 [1,1,0,-3572,124356] 1 [-73:89:1]&[-38:474:1]
17430k (2 curves)	2	2+ 3- 5+ 7+ 83+	2+ 3- 5+ 7+ -4 -4 -2 -6
Curve Equation t Generators 17430k1 [1,0,1,-444,3526] 2 [-19:81:1]&[-1:63:1] 17430k2 [1,0,1,-794,-2914] 2 [-24:61:1]&[-6:43:1]
17430l (2 curves)	1	2+ 3- 5+ 7+ 83-	2+ 3- 5+ 7+ -6 -2  4  4
Curve Equation t Generators 17430l1 [1,0,1,-1149,14872] 2 [11:54:1] 17430l2 [1,0,1,-869,22376] 2 [18:103:1]
17430m (4 curves)	1	2+ 3- 5+ 7- 83+	2+ 3- 5+ 7-  0  2  6  2
Curve Equation t Generators 17430m1 [1,0,1,-31749,2133472] 6 [-154:1914:1] 17430m2 [1,0,1,2551,6510152] 6 [-126:2110:1] 17430m3 [1,0,1,-302964,-63331214] 2 [1505:53007:1] 17430m4 [1,0,1,-22964,-175779214] 2 [11790:431681:8]
17430n (1 curve)	1	2+ 3- 5+ 7- 83+	2+ 3- 5+ 7- -1  0 -4  7
Curve Equation t Generators 17430n1 [1,0,1,-55849,5075372] 1 [136:-61:1]
17430o (2 curves)	1	2+ 3- 5+ 7- 83+	2+ 3- 5+ 7-  2  6 -4 -2
Curve Equation t Generators 17430o1 [1,0,1,-584,-4318] 2 [-12:37:1] 17430o2 [1,0,1,-3034,60362] 2 [58:254:1]
17430p (2 curves)	0	2+ 3- 5- 7+ 83-	2+ 3- 5- 7+  4 -4  6  0
Curve Equation t 17430p1 [1,0,1,-53,128] 2 17430p2 [1,0,1,67,656] 2
17430q (2 curves)	0	2+ 3- 5- 7- 83+	2+ 3- 5- 7-  3 -4  0 -1
Curve Equation t 17430q1 [1,0,1,172,-5452] 3 17430q2 [1,0,1,-18953,-1006252] 1
17430r (2 curves)	1	2+ 3- 5- 7- 83-	2+ 3- 5- 7- -3 -1  6 -4
Curve Equation t Generators 17430r1 [1,0,1,622,387506] 3 [-60:397:1] 17430r2 [1,0,1,-5603,-10463914] 1 [22388:341721:64]
17430s (1 curve)	1	2- 3+ 5+ 7+ 83-	2- 3+ 5+ 7+  1 -1 -4  6
Curve Equation t Generators 17430s1 [1,1,1,-216,-1551] 1 [27:101:1]
17430t (1 curve)	1	2- 3+ 5+ 7+ 83-	2- 3+ 5+ 7+ -2 -4  5  0
Curve Equation t Generators 17430t1 [1,1,1,-1610886,786275523] 1 [733:-337:1]
17430u (2 curves)	1	2- 3+ 5+ 7+ 83-	2- 3+ 5+ 7+ -2  6  0  0
Curve Equation t Generators 17430u1 [1,1,1,-28881,-1900497] 2 [-99:74:1] 17430u2 [1,1,1,-24401,-2504401] 2 [349:5450:1]
17430v (4 curves)	0	2- 3+ 5+ 7- 83-	2- 3+ 5+ 7-  4 -6  6 -4
Curve Equation t 17430v1 [1,1,1,-141481,19687319] 2 17430v2 [1,1,1,-2241001,1290316823] 4 17430v3 [1,1,1,-35856001,82625170823] 2 17430v4 [1,1,1,-2218321,1317741479] 2
17430w (4 curves)	1	2- 3+ 5- 7+ 83+	2- 3+ 5- 7+  0  6  6 -8
Curve Equation t Generators 17430w1 [1,1,1,-112130,14405375] 4 [-385:1025:1] 17430w2 [1,1,1,-112630,14269775] 4 [161525:64836525:1] 17430w3 [1,1,1,-232680,-21649185] 2 [3699944163020:-1488863745254759:22906304] 17430w4 [1,1,1,-580,41520335] 2 [-38828561563380:119815612380745:112538671552]
17430x (1 curve)	1	2- 3+ 5- 7+ 83+	2- 3+ 5- 7+ -5 -4 -4  7
Curve Equation t Generators 17430x1 [1,1,1,-1706205,-917130573] 1 [4087:-247804:1]
17430y (1 curve)	1	2- 3+ 5- 7+ 83+	2- 3+ 5- 7+ -6  0  3  4
Curve Equation t Generators 17430y1 [1,1,1,290,1307] 1 [5:51:1]
17430z (4 curves)	0	2- 3+ 5- 7- 83+	2- 3+ 5- 7-  0 -2  6 -4
Curve Equation t 17430z1 [1,1,1,-195,657] 4 17430z2 [1,1,1,-1175,-15415] 4 17430z3 [1,1,1,-18605,-984523] 2 17430z4 [1,1,1,575,-55315] 2
17430ba (4 curves)	0	2- 3+ 5- 7- 83+	2- 3+ 5- 7-  4 -2  2  0
Curve Equation t 17430ba1 [1,1,1,-6580,-203275] 4 17430ba2 [1,1,1,-104580,-13060875] 4 17430ba3 [1,1,1,-1673280,-833804715] 2 17430ba4 [1,1,1,-103880,-13243435] 2
17430bb (2 curves)	0	2- 3+ 5- 7- 83+	2- 3+ 5- 7-  4  4  2  0
Curve Equation t 17430bb1 [1,1,1,-945620,353540657] 2 17430bb2 [1,1,1,-945350,353752985] 2
17430bc (2 curves)	1	2- 3+ 5- 7- 83-	2- 3+ 5- 7- -2  4 -4 -4
Curve Equation t Generators 17430bc1 [1,1,1,-95470,-1223893] 2 [-233:3021:1] 17430bc2 [1,1,1,-991470,377963307] 2 [667:3401:1]
17430bd (1 curve)	1	2- 3+ 5- 7- 83-	2- 3+ 5- 7- -5  0  4  5
Curve Equation t Generators 17430bd1 [1,1,1,220,-475] 1 [33:-227:1]
17430be (1 curve)	1	2- 3+ 5- 7- 83-	2- 3+ 5- 7- -5  3  0  2
Curve Equation t Generators 17430be1 [1,1,1,-18060,942765] 1 [93:-327:1]
17430bf (2 curves)	1	2- 3- 5+ 7+ 83+	2- 3- 5+ 7+  2  4 -4 -2
Curve Equation t Generators 17430bf1 [1,0,0,-1861,-23359] 2 [-22:95:1] 17430bf2 [1,0,0,4539,-147519] 2 [90:951:1]
17430bg (2 curves)	1	2- 3- 5+ 7+ 83+	2- 3- 5+ 7+ -2 -4  0  2
Curve Equation t Generators 17430bg1 [1,0,0,-185136,30645360] 2 [246:-60:1] 17430bg2 [1,0,0,-182636,31513860] 2 [64:4450:1]
17430bh (1 curve)	1	2- 3- 5+ 7- 83-	2- 3- 5+ 7-  1  1  2 -8
Curve Equation t Generators 17430bh1 [1,0,0,-37811,2840385] 1 [106:109:1]
17430bi (2 curves)	1	2- 3- 5+ 7- 83-	2- 3- 5+ 7-  3 -4  0 -7
Curve Equation t Generators 17430bi1 [1,0,0,-5009466,-11355529500] 3 [3528:120246:1] 17430bi2 [1,0,0,-568934706,-5223316692564] 1 [126486:44055132:1]
17430bj (2 curves)	0	2- 3- 5- 7+ 83+	2- 3- 5- 7+ -2  2  0  8
Curve Equation t 17430bj1 [1,0,0,-125,525] 2 17430bj2 [1,0,0,-55,1127] 2
17430bk (2 curves)	1	2- 3- 5- 7+ 83-	2- 3- 5- 7+  0 -4  2 -6
Curve Equation t Generators 17430bk1 [1,0,0,-41115,2238417] 2 [474:-9687:1] 17430bk2 [1,0,0,-601115,179310417] 2 [634:-7607:1]
17430bl (2 curves)	1	2- 3- 5- 7+ 83-	2- 3- 5- 7+  2 -2 -4 -2
Curve Equation t Generators 17430bl1 [1,0,0,-38350,2844932] 2 [52:970:1] 17430bl2 [1,0,0,-77550,-3968028] 2 [312:1338:1]
17430bm (2 curves)	1	2- 3- 5- 7+ 83-	2- 3- 5- 7+ -2  2  0 -6
Curve Equation t Generators 17430bm1 [1,0,0,-714650,54698532] 2 [-446:17098:1] 17430bm2 [1,0,0,-6839650,-6840826468] 2 [-1426:4358:1]
17430bn (1 curve)	1	2- 3- 5- 7+ 83-	2- 3- 5- 7+  3 -3 -6  0
Curve Equation t Generators 17430bn1 [1,0,0,-70,3812] 1 [14:-82:1]
17430bo (1 curve)	1	2- 3- 5- 7+ 83-	2- 3- 5- 7+ -5 -1  6  0
Curve Equation t Generators 17430bo1 [1,0,0,2145,44505] 1 [102:-1203:1]
17430bp (2 curves)	1	2- 3- 5- 7- 83+	2- 3- 5- 7-  0 -4  2 -2
Curve Equation t Generators 17430bp1 [1,0,0,-1174555,484540625] 2 [542:2417:1] 17430bp2 [1,0,0,-18736155,31213828305] 2 [2502:-999:1]
17430bq (4 curves)	1	2- 3- 5- 7- 83+	2- 3- 5- 7-  0 -4 -6  2
Curve Equation t Generators 17430bq1 [1,0,0,-2380,41552] 6 [-28:308:1] 17430bq2 [1,0,0,-37380,2778552] 6 [222:2220:1] 17430bq3 [1,0,0,-36880,-2720548] 2 [244:1558:1] 17430bq4 [1,0,0,-54030,61182] 2 [54762:325895:216]
17430br (2 curves)	0	2- 3- 5- 7- 83-	2- 3- 5- 7-  4  4  2  4
Curve Equation t 17430br1 [1,0,0,-1495,-22363] 2 17430br2 [1,0,0,-1225,-30625] 2

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