Cremona's table of elliptic curves

3570 = 2 · 3 · 5 · 7 · 17

Class	r	Atkin-Lehner	Eigenvalues
3570a (2 curves)	1	2+ 3+ 5+ 7+ 17+	2+ 3+ 5+ 7+  2  4 17+ -6
Curve Equation t Generators 3570a1 [1,1,0,-1683,-70227] 2 [86:613:1] 3570a2 [1,1,0,-37683,-2827827] 2 [-111:108:1]
3570b (2 curves)	0	2+ 3+ 5+ 7+ 17-	2+ 3+ 5+ 7+ -4  4 17-  6
Curve Equation t 3570b1 [1,1,0,470267,1634976973] 2 3570b2 [1,1,0,-18279733,29073726973] 2
3570c (2 curves)	1	2+ 3+ 5+ 7- 17-	2+ 3+ 5+ 7-  2 -2 17- -4
Curve Equation t Generators 3570c1 [1,1,0,82,372] 2 [4:26:1] 3570c2 [1,1,0,-518,3132] 2 [-23:71:1]
3570d (2 curves)	0	2+ 3+ 5- 7+ 17+	2+ 3+ 5- 7+  0  0 17+ -6
Curve Equation t 3570d1 [1,1,0,-527,499749] 2 3570d2 [1,1,0,-97727,11561109] 2
3570e (2 curves)	1	2+ 3+ 5- 7+ 17-	2+ 3+ 5- 7+ -2  2 17- -4
Curve Equation t Generators 3570e1 [1,1,0,-506247,138432609] 2 [393:411:1] 3570e2 [1,1,0,-8099997,8869726359] 2 [1613:1276:1]
3570f (2 curves)	1	2+ 3+ 5- 7+ 17-	2+ 3+ 5- 7+ -2 -6 17-  4
Curve Equation t Generators 3570f1 [1,1,0,-2557,-51011] 2 [73:361:1] 3570f2 [1,1,0,-40957,-3207491] 2 [585:12878:1]
3570g (4 curves)	1	2+ 3+ 5- 7+ 17-	2+ 3+ 5- 7+  4  2 17- -4
Curve Equation t Generators 3570g1 [1,1,0,-42,84] 2 [5:3:1] 3570g2 [1,1,0,-122,-444] 4 [-8:14:1] 3570g3 [1,1,0,-1822,-30704] 2 [-25:14:1] 3570g4 [1,1,0,298,-2376] 4 [13:56:1]
3570h (2 curves)	0	2+ 3+ 5- 7- 17-	2+ 3+ 5- 7-  2  4 17-  6
Curve Equation t 3570h1 [1,1,0,-1347,-19719] 2 3570h2 [1,1,0,-21597,-1230669] 2
3570i (4 curves)	0	2+ 3+ 5- 7- 17-	2+ 3+ 5- 7- -4 -2 17-  0
Curve Equation t 3570i1 [1,1,0,-24857,905061] 2 3570i2 [1,1,0,-352537,80400229] 4 3570i3 [1,1,0,-5640217,5153400421] 4 3570i4 [1,1,0,-307737,101644389] 2
3570j (4 curves)	1	2+ 3- 5+ 7- 17+	2+ 3- 5+ 7- -6  2 17+  8
Curve Equation t Generators 3570j1 [1,0,1,31,992] 6 [-7:24:1] 3570j2 [1,0,1,-1319,17732] 6 [24:-5:1] 3570j3 [1,0,1,-284,-26854] 2 [65:447:1] 3570j4 [1,0,1,-15284,-722854] 2 [1270:6771:8]
3570k (4 curves)	0	2+ 3- 5+ 7- 17-	2+ 3- 5+ 7-  0 -4 17-  2
Curve Equation t 3570k1 [1,0,1,536,-538] 6 3570k2 [1,0,1,-2164,-4858] 6 3570k3 [1,0,1,-7879,-283894] 2 3570k4 [1,0,1,-127879,-17611894] 2
3570l (2 curves)	1	2+ 3- 5- 7+ 17+	2+ 3- 5- 7+  2 -6 17+ -4
Curve Equation t Generators 3570l1 [1,0,1,-88,338] 2 [7:-13:1] 3570l2 [1,0,1,-1438,20858] 2 [-8:182:1]
3570m (4 curves)	1	2+ 3- 5- 7+ 17+	2+ 3- 5- 7+ -4  6 17+ -4
Curve Equation t Generators 3570m1 [1,0,1,13157,-2831194] 2 [160:1757:1] 3570m2 [1,0,1,-237723,-41868122] 4 [-316:1470:1] 3570m3 [1,0,1,-3737723,-2781668122] 2 [-1116:670:1] 3570m4 [1,0,1,-751803,200572006] 2 [830:11772:1]
3570n (4 curves)	0	2+ 3- 5- 7- 17+	2+ 3- 5- 7-  0 -4 17+  2
Curve Equation t 3570n1 [1,0,1,-17998,928256] 6 3570n2 [1,0,1,-287998,59464256] 6 3570n3 [1,0,1,14627,3777656] 2 3570n4 [1,0,1,-292573,57476216] 2
3570o (2 curves)	0	2+ 3- 5- 7- 17+	2+ 3- 5- 7-  4  4 17+ -6
Curve Equation t 3570o1 [1,0,1,-18,-44] 2 3570o2 [1,0,1,-318,-2204] 2
3570p (4 curves)	1	2+ 3- 5- 7- 17-	2+ 3- 5- 7-  0 -6 17-  0
Curve Equation t Generators 3570p1 [1,0,1,-51293,4466936] 2 [132:-41:1] 3570p2 [1,0,1,-52573,4231928] 4 [-173:2942:1] 3570p3 [1,0,1,-188653,-26848744] 2 [-305:1682:1] 3570p4 [1,0,1,63027,20277208] 4 [-88:3792:1]
3570q (2 curves)	1	2+ 3- 5- 7- 17-	2+ 3- 5- 7- -6  0 17- -6
Curve Equation t Generators 3570q1 [1,0,1,2202,286756] 2 [-40:387:1] 3570q2 [1,0,1,-54048,4606756] 2 [80:852:1]
3570r (4 curves)	1	2- 3+ 5+ 7- 17+	2- 3+ 5+ 7-  0 -2 17+  0
Curve Equation t Generators 3570r1 [1,1,1,14,383] 2 [1:19:1] 3570r2 [1,1,1,-706,6719] 4 [-17:127:1] 3570r3 [1,1,1,-1726,-18577] 2 [-23:109:1] 3570r4 [1,1,1,-11206,451919] 2 [61:-27:1]
3570s (4 curves)	1	2- 3+ 5+ 7- 17+	2- 3+ 5+ 7-  0 -2 17+ -8
Curve Equation t Generators 3570s1 [1,1,1,2269,-6847] 2 [11:134:1] 3570s2 [1,1,1,-9251,-66751] 4 [-51:550:1] 3570s3 [1,1,1,-111251,-14305951] 2 [-187:142:1] 3570s4 [1,1,1,-91571,10568993] 2 [257:1894:1]
3570t (6 curves)	0	2- 3+ 5- 7+ 17-	2- 3+ 5- 7+  4  6 17-  4
Curve Equation t 3570t1 [1,1,1,3060,64557] 4 3570t2 [1,1,1,-17420,588845] 8 3570t3 [1,1,1,-109900,-13616083] 4 3570t4 [1,1,1,-252620,48757805] 4 3570t5 [1,1,1,-1742580,-886120275] 2 3570t6 [1,1,1,43100,-48377683] 2
3570u (4 curves)	1	2- 3+ 5- 7- 17-	2- 3+ 5- 7- -4 -6 17-  0
Curve Equation t Generators 3570u1 [1,1,1,-1015,-12595] 2 [-17:18:1] 3570u2 [1,1,1,-2295,23757] 4 [-23:266:1] 3570u3 [1,1,1,-32295,2219757] 4 [-163:1866:1] 3570u4 [1,1,1,7225,179885] 2 [33:658:1]
3570v (8 curves)	0	2- 3- 5+ 7- 17+	2- 3- 5+ 7-  0  2 17+ -4
Curve Equation t 3570v1 [1,0,0,-32326,2663780] 6 3570v2 [1,0,0,-544326,154522980] 12 3570v3 [1,0,0,232634,-18120604] 2 3570v4 [1,0,0,-571526,138219300] 6 3570v5 [1,0,0,-8709126,9891863460] 6 3570v6 [1,0,0,-1017366,-151370604] 4 3570v7 [1,0,0,-13299866,-18656185104] 2 3570v8 [1,0,0,-8734866,9830443896] 2
3570w (4 curves)	0	2- 3- 5+ 7- 17+	2- 3- 5+ 7-  4 -2 17+  8
Curve Equation t 3570w1 [1,0,0,-11,-159] 2 3570w2 [1,0,0,-511,-4459] 4 3570w3 [1,0,0,-8161,-284449] 2 3570w4 [1,0,0,-861,2331] 2
3570x (4 curves)	1	2- 3- 5+ 7- 17-	2- 3- 5+ 7- -4 -6 17- -4
Curve Equation t Generators 3570x1 [1,0,0,15624,254016] 2 [0:504:1] 3570x2 [1,0,0,-66296,2072640] 4 [-236:2260:1] 3570x3 [1,0,0,-599416,-177162304] 2 [-460:1364:1] 3570x4 [1,0,0,-843896,298027200] 2 [-914:17950:1]

Data from Elliptic Curve Data by J. E. Cremona.
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Part of Computational Number Theory
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