Cremona's table of elliptic curves

1470 = 2 · 3 · 5 · 7²

Class	r	Atkin-Lehner	Eigenvalues
1470a (1 curve)	1	2+ 3+ 5+ 7+	2+ 3+ 5+ 7+ -1  1  0 -3
Curve Equation t Generators 1470a1 [1,1,0,-613,15373] 1 [1:121:1]
1470b (8 curves)	0	2+ 3+ 5+ 7-	2+ 3+ 5+ 7-  0 -2  6 -8
Curve Equation t 1470b1 [1,1,0,-24378,-1474668] 2 1470b2 [1,1,0,-28298,-973692] 4 1470b3 [1,1,0,-72153,5639397] 2 1470b4 [1,1,0,-213518,37218672] 2 1470b5 [1,1,0,94202,-7025192] 2 1470b6 [1,1,0,-1075673,428924133] 4 1470b7 [1,1,0,-17210393,27473941797] 2 1470b8 [1,1,0,-997273,494199973] 2
1470c (2 curves)	0	2+ 3+ 5+ 7-	2+ 3+ 5+ 7-  6 -6  0  4
Curve Equation t 1470c1 [1,1,0,-1068,-8112] 2 1470c2 [1,1,0,3412,-53808] 2
1470d (8 curves)	1	2+ 3+ 5- 7-	2+ 3+ 5- 7-  0 -2 -6  4
Curve Equation t Generators 1470d1 [1,1,0,73,-699] 2 [10:29:1] 1470d2 [1,1,0,-907,-9911] 4 [-20:37:1] 1470d3 [1,1,0,-662,21204] 2 [13:116:1] 1470d4 [1,1,0,-14137,-652889] 2 [-69:37:1] 1470d5 [1,1,0,-3357,63099] 2 [55:193:1] 1470d6 [1,1,0,-16342,795796] 4 [132:-1046:1] 1470d7 [1,1,0,-22222,164284] 2 [3:311:1] 1470d8 [1,1,0,-261342,51314796] 2 [297:-81:1]
1470e (2 curves)	1	2+ 3+ 5- 7-	2+ 3+ 5- 7-  3 -5  0 -5
Curve Equation t Generators 1470e1 [1,1,0,-32,-174] 1 [17:59:1] 1470e2 [1,1,0,283,3669] 1 [-7:41:1]
1470f (2 curves)	0	2+ 3- 5+ 7+	2+ 3- 5+ 7+  3  5  0  5
Curve Equation t 1470f1 [1,0,1,-1594,54926] 3 1470f2 [1,0,1,13841,-1216918] 1
1470g (1 curve)	0	2+ 3- 5- 7-	2+ 3- 5- 7- -1 -1  0  3
Curve Equation t 1470g1 [1,0,1,-30063,-5363102] 1
1470h (4 curves)	0	2+ 3- 5- 7-	2+ 3- 5- 7- -4  2  6  0
Curve Equation t 1470h1 [1,0,1,-173,536] 2 1470h2 [1,0,1,-1153,-14752] 4 1470h3 [1,0,1,-18303,-954572] 2 1470h4 [1,0,1,317,-49444] 2
1470i (2 curves)	0	2+ 3- 5- 7-	2+ 3- 5- 7-  6  6  0 -4
Curve Equation t 1470i1 [1,0,1,-52358,2625368] 2 1470i2 [1,0,1,167162,18957656] 2
1470j (1 curve)	1	2- 3+ 5+ 7-	2- 3+ 5+ 7- -1 -7  4 -1
Curve Equation t Generators 1470j1 [1,1,1,-36,69] 1 [1:5:1]
1470k (8 curves)	1	2- 3+ 5+ 7-	2- 3+ 5+ 7- -4  2 -2 -4
Curve Equation t Generators 1470k1 [1,1,1,10289,-298411] 4 [41:420:1] 1470k2 [1,1,1,-52431,-2731947] 4 [-141:1442:1] 1470k3 [1,1,1,-738431,-244478347] 2 [-491:392:1] 1470k4 [1,1,1,-369951,84522549] 4 [181:4760:1] 1470k5 [1,1,1,-5882451,5488977549] 4 [1431:1308:1] 1470k6 [1,1,1,62229,270705693] 2 [867:30828:1] 1470k7 [1,1,1,-94119201,351412332249] 2 [545176866:-269749887:97336] 1470k8 [1,1,1,-5845701,5560992849] 2 [76884:1020837:64]
1470l (1 curve)	1	2- 3+ 5- 7+	2- 3+ 5- 7+ -5 -5 -4 -7
Curve Equation t Generators 1470l1 [1,1,1,-2990,71147] 1 [27:-119:1]
1470m (8 curves)	0	2- 3+ 5- 7-	2- 3+ 5- 7-  0 -2  6  4
Curve Equation t 1470m1 [1,1,1,-2010,11367] 4 1470m2 [1,1,1,-17690,-904345] 4 1470m3 [1,1,1,-131370,18272295] 4 1470m4 [1,1,1,-282290,-57846265] 2 1470m5 [1,1,1,-3970,-2254393] 2 1470m6 [1,1,1,-132350,17984567] 4 1470m7 [1,1,1,-316100,-43167433] 2 1470m8 [1,1,1,35720,60741575] 2
1470n (2 curves)	0	2- 3+ 5- 7-	2- 3+ 5- 7-  2  2 -4  0
Curve Equation t 1470n1 [1,1,1,-15,-15] 2 1470n2 [1,1,1,55,-43] 2
1470o (2 curves)	0	2- 3- 5+ 7-	2- 3- 5+ 7-  2 -2  4  0
Curve Equation t 1470o1 [1,0,0,-736,2876] 2 1470o2 [1,0,0,2694,22770] 2
1470p (6 curves)	0	2- 3- 5+ 7-	2- 3- 5+ 7-  4  2 -2  4
Curve Equation t 1470p1 [1,0,0,489,5865] 2 1470p2 [1,0,0,-3431,59961] 4 1470p3 [1,0,0,-18131,-889659] 2 1470p4 [1,0,0,-51451,4487405] 4 1470p5 [1,0,0,-823201,287410955] 2 1470p6 [1,0,0,-48021,5112351] 2
1470q (1 curve)	0	2- 3- 5+ 7-	2- 3- 5+ 7- -5  5  4  7
Curve Equation t 1470q1 [1,0,0,-146511,-24843015] 1
1470r (1 curve)	0	2- 3- 5- 7+	2- 3- 5- 7+ -1  7 -4  1
Curve Equation t 1470r1 [1,0,0,-1765,-29023] 1

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