Cremona's table of elliptic curves

8470 = 2 · 5 · 7 · 11²

Class	r	Atkin-Lehner	Eigenvalues
8470a (2 curves)	1	2+ 5+ 7+ 11+	2+  0 5+ 7+ 11+  4 -4 -4
Curve Equation t Generators 8470a1 [1,-1,0,-7316590,-7448888364] 2 [19911183866419729980:2874050663704767558882:933061727500813] 8470a2 [1,-1,0,-116352110,-483040019500] 2 [585458020:169314359310:6859]
8470b (2 curves)	1	2+ 5+ 7+ 11+	2+  0 5+ 7+ 11+ -6  6  6
Curve Equation t Generators 8470b1 [1,-1,0,-50,160] 2 [3:4:1] 8470b2 [1,-1,0,-820,9246] 2 [3:81:1]
8470c (2 curves)	0	2+ 5+ 7+ 11-	2+  1 5+ 7+ 11- -5 -6 -5
Curve Equation t 8470c1 [1,0,1,-51549,-4518384] 1 8470c2 [1,0,1,94861,-22731788] 1
8470d (2 curves)	0	2+ 5+ 7+ 11-	2+  1 5+ 7+ 11-  7  6 -5
Curve Equation t 8470d1 [1,0,1,-7934,280432] 1 8470d2 [1,0,1,-648574,200988016] 1
8470e (2 curves)	0	2+ 5+ 7+ 11-	2+ -2 5+ 7+ 11- -2 -3  7
Curve Equation t 8470e1 [1,0,1,-179,-2994] 1 8470e2 [1,0,1,1581,73742] 1
8470f (4 curves)	0	2+ 5+ 7+ 11-	2+ -2 5+ 7+ 11-  4  0  4
Curve Equation t 8470f1 [1,0,1,-6779,-4180794] 2 8470f2 [1,0,1,-432699,-108616378] 2 8470f3 [1,0,1,60981,112610342] 2 8470f4 [1,0,1,-3160039,2100623886] 2
8470g (2 curves)	2	2+ 5+ 7- 11+	2+ -2 5+ 7- 11+ -2 -2 -8
Curve Equation t Generators 8470g1 [1,0,1,41,42] 2 [3:12:1]&[15:56:1] 8470g2 [1,0,1,-179,306] 2 [-14:17:1]&[-7:38:1]
8470h (4 curves)	1	2+ 5+ 7- 11-	2+  0 5+ 7- 11-  6 -2  0
Curve Equation t Generators 8470h1 [1,-1,0,280,2800] 2 [3:59:1] 8470h2 [1,-1,0,-2140,31356] 4 [-27:276:1] 8470h3 [1,-1,0,-10610,-390450] 2 [201:2259:1] 8470h4 [1,-1,0,-32390,2251706] 2 [-107:2171:1]
8470i (2 curves)	1	2+ 5+ 7- 11-	2+  1 5+ 7- 11- -1  6 -7
Curve Equation t Generators 8470i1 [1,0,1,-4964,227962] 3 [-74:474:1] 8470i2 [1,0,1,41621,-4132394] 1 [239484:3463769:1728]
8470j (1 curve)	1	2+ 5+ 7- 11-	2+ -1 5+ 7- 11- -1 -4  3
Curve Equation t Generators 8470j1 [1,1,0,1692,-842288] 1 [171:2032:1]
8470k (1 curve)	1	2+ 5- 7+ 11-	2+  1 5- 7+ 11-  3  0  3
Curve Equation t Generators 8470k1 [1,0,1,-4821853,-4076792744] 1 [107392463770:12508483712926:7645373]
8470l (4 curves)	1	2+ 5- 7+ 11-	2+ -2 5- 7+ 11- -2 -6 -2
Curve Equation t Generators 8470l1 [1,0,1,1207,-131892] 2 [54:275:1] 8470l2 [1,0,1,-32673,-2178244] 2 [-100:352:1] 8470l3 [1,0,1,-10893,3609428] 2 [-78:2035:1] 8470l4 [1,0,1,-425923,106370856] 2 [230:4422:1]
8470m (1 curve)	1	2+ 5- 7+ 11-	2+ -3 5- 7+ 11- -1  0  7
Curve Equation t Generators 8470m1 [1,-1,0,-1414,-527180] 1 [91:257:1]
8470n (2 curves)	0	2+ 5- 7- 11-	2+  1 5- 7- 11-  5  0  5
Curve Equation t 8470n1 [1,0,1,-16943,2456056] 3 8470n2 [1,0,1,149432,-59235794] 1
8470o (2 curves)	0	2+ 5- 7- 11-	2+ -2 5- 7- 11-  2  3 -1
Curve Equation t 8470o1 [1,0,1,-3,-244] 3 8470o2 [1,0,1,-3028,-64374] 1
8470p (1 curve)	0	2+ 5- 7- 11-	2+  3 5- 7- 11- -3 -2 -1
Curve Equation t 8470p1 [1,-1,0,-280924,57381968] 1
8470q (2 curves)	0	2- 5+ 7+ 11+	2- -2 5+ 7+ 11+  2  2  8
Curve Equation t 8470q1 [1,0,0,5019,-51215] 2 8470q2 [1,0,0,-21601,-429219] 2
8470r (2 curves)	1	2- 5+ 7+ 11-	2-  1 5+ 7+ 11-  1 -6  7
Curve Equation t Generators 8470r1 [1,0,0,-41,-175] 1 [8:1:1] 8470r2 [1,0,0,344,3136] 1 [36:232:1]
8470s (1 curve)	1	2- 5+ 7+ 11-	2- -1 5+ 7+ 11-  1  4 -3
Curve Equation t Generators 8470s1 [1,1,1,14,639] 1 [9:-45:1]
8470t (2 curves)	1	2- 5+ 7+ 11-	2-  2 5+ 7+ 11- -2 -2 -6
Curve Equation t Generators 8470t1 [1,1,1,-426,7283] 2 [-18:731:8] 8470t2 [1,1,1,-8896,318979] 2 [1396:22865:64]
8470u (4 curves)	1	2- 5+ 7+ 11-	2- -2 5+ 7+ 11- -2  6 -2
Curve Equation t Generators 8470u1 [1,0,0,-110536,-14214144] 2 [428:3900:1] 8470u2 [1,0,0,-1770656,-907026680] 2 [7974:697450:1] 8470u3 [1,0,0,274849,-75395495] 2 [384:9125:1] 8470u4 [1,0,0,-1893471,-774028199] 2 [-804:15527:1]
8470v (2 curves)	1	2- 5+ 7- 11+	2-  0 5+ 7- 11+ -4  4  4
Curve Equation t Generators 8470v1 [1,-1,1,-60468,5612951] 2 [-27:2701:1] 8470v2 [1,-1,1,-961588,363177367] 2 [-107:21613:1]
8470w (2 curves)	1	2- 5+ 7- 11+	2-  0 5+ 7- 11+  6 -6 -6
Curve Equation t Generators 8470w1 [1,-1,1,-6073,-194763] 2 [9576861:11098770:103823] 8470w2 [1,-1,1,-99243,-12008719] 2 [4299893767022:-530280984138681:284890312]
8470x (2 curves)	0	2- 5+ 7- 11-	2-  1 5+ 7- 11-  5  6  5
Curve Equation t 8470x1 [1,0,0,-426,3356] 3 8470x2 [1,0,0,784,17150] 1
8470y (2 curves)	0	2- 5+ 7- 11-	2-  1 5+ 7- 11- -7 -6  5
Curve Equation t 8470y1 [1,0,0,-959956,-374215280] 3 8470y2 [1,0,0,-78477396,-267593527024] 1
8470z (2 curves)	0	2- 5+ 7- 11-	2- -2 5+ 7- 11-  2  3 -7
Curve Equation t 8470z1 [1,0,0,-21601,3963081] 3 8470z2 [1,0,0,191359,-97959575] 1
8470ba (4 curves)	0	2- 5- 7+ 11-	2-  0 5- 7+ 11-  6  2  4
Curve Equation t 8470ba1 [1,-1,1,-3532,855759] 4 8470ba2 [1,-1,1,-158412,24149711] 4 8470ba3 [1,-1,1,-264892,-12309041] 2 8470ba4 [1,-1,1,-2530012,1549562831] 2
8470bb (2 curves)	0	2- 5- 7+ 11-	2-  1 5- 7+ 11- -5  0 -5
Curve Equation t 8470bb1 [1,0,0,-140,-1858] 1 8470bb2 [1,0,0,1235,44617] 1
8470bc (2 curves)	0	2- 5- 7+ 11-	2- -2 5- 7+ 11- -2 -3  1
Curve Equation t 8470bc1 [1,0,0,-305,324127] 1 8470bc2 [1,0,0,-366330,85315132] 1
8470bd (1 curve)	0	2- 5- 7+ 11-	2-  3 5- 7+ 11-  3  2  1
Curve Equation t 8470bd1 [1,-1,1,-2322,-42479] 1
8470be (4 curves)	1	2- 5- 7- 11-	2-  0 5- 7- 11- -2 -6 -4
Curve Equation t Generators 8470be1 [1,-1,1,-1462792,819965259] 4 [4117:-256159:1] 8470be2 [1,-1,1,-24704472,47266138571] 4 [1191:139159:1] 8470be3 [1,-1,1,-26008852,41998530379] 2 [1037:126531:1] 8470be4 [1,-1,1,-395266972,3024809938571] 2 [11481:-5321:1]
8470bf (1 curve)	1	2- 5- 7- 11-	2-  1 5- 7- 11- -3  0 -3
Curve Equation t Generators 8470bf1 [1,0,0,-39850,3059332] 1 [114:-22:1]
8470bg (2 curves)	1	2- 5- 7- 11-	2- -2 5- 7- 11-  0  0  0
Curve Equation t Generators 8470bg1 [1,0,0,3930,-739100] 2 [120:1150:1] 8470bg2 [1,0,0,-102550,-12089868] 2 [-166:688:1]
8470bh (1 curve)	1	2- 5- 7- 11-	2- -3 5- 7- 11-  1  0 -7
Curve Equation t Generators 8470bh1 [1,-1,1,-12,399] 1 [-3:21:1]

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