Cremona's table of elliptic curves

84800 = 2⁶ · 5² · 53

Class	r	Atkin-Lehner	Eigenvalues
84800a (2 curves)	1	2+ 5+ 53+	2+  0 5+ -2  0 -6  6  2
Curve Equation t Generators 84800a1 [0,0,0,-220300,39798000] 2 [45:5475:1] 84800a2 [0,0,0,-212300,42822000] 2 [414:5088:1]
84800b (2 curves)	1	2+ 5+ 53+	2+  1 5+  4  0  5  3  1
Curve Equation t Generators 84800b1 [0,1,0,-452833,-149105537] 1 [313264881490640613:7709554689744528800:278457869465901] 84800b2 [0,1,0,-39364833,-95075953537] 1 [6052983926401329632652557764374534601352069527756677:4652027314797905975691070859844409927166154156566288800:10246501130240682592734787097237654629350531789]
84800c (1 curve)	1	2+ 5+ 53+	2+  1 5+ -4  0 -3  3 -7
Curve Equation t Generators 84800c1 [0,1,0,92,-62] 1 [33:200:1]
84800d (1 curve)	1	2+ 5+ 53+	2+ -1 5+  0  4  1 -5  7
Curve Equation t Generators 84800d1 [0,-1,0,-12033,519937] 1 [67:100:1]
84800e (1 curve)	1	2+ 5+ 53+	2+ -1 5+  4  0 -3  3  7
Curve Equation t Generators 84800e1 [0,-1,0,92,62] 1 [67:550:1]
84800f (2 curves)	1	2+ 5+ 53+	2+  2 5+  0  0  6 -2  6
Curve Equation t Generators 84800f1 [0,-1,0,-276008,-55743238] 2 [2410718293280827112874661756864467048:16841847913483016521881631855460515625:3831185346574646593967187459377664] 84800f2 [0,-1,0,-4416633,-3571133863] 2 [864717554400148912217644923031548728310183474034471805613265609032:-168014187739887328153178980100327844122981779247362957895677971994475:22832391528722912499068724612659374041768834341600511216615936]
84800g (2 curves)	1	2+ 5+ 53+	2+  2 5+  0  4 -2 -2 -2
Curve Equation t Generators 84800g1 [0,-1,0,-1733,-27163] 2 [543163236:-8189633125:2299968] 84800g2 [0,-1,0,-1233,-43663] 2 [202542:6194375:216]
84800h (2 curves)	1	2+ 5+ 53+	2+ -2 5+  0  0  6 -2 -6
Curve Equation t Generators 84800h1 [0,1,0,-276008,55743238] 2 [113:5100:1] 84800h2 [0,1,0,-4416633,3571133863] 2 [2182764:-5265325:1728]
84800i (2 curves)	1	2+ 5+ 53+	2+ -2 5+  1  3  2  3 -2
Curve Equation t Generators 84800i1 [0,1,0,-373,2643] 1 [14:19:1] 84800i2 [0,1,0,-1973,-32237] 1 [974:30381:1]
84800j (2 curves)	1	2+ 5+ 53+	2+ -2 5+ -2  3 -4 -3  4
Curve Equation t Generators 84800j1 [0,1,0,1567,59263] 1 [-13:192:1] 84800j2 [0,1,0,-14433,-1812737] 1 [787:21792:1]
84800k (1 curve)	1	2+ 5+ 53+	2+ -2 5+  3  5 -6  3 -6
Curve Equation t Generators 84800k1 [0,1,0,-833,-3287] 1 [-214:191:8]
84800l (1 curve)	1	2+ 5+ 53+	2+ -3 5+  4  0 -3  3  5
Curve Equation t Generators 84800l1 [0,0,0,500,22000] 1 [20:200:1]
84800m (2 curves)	0	2+ 5+ 53-	2+  0 5+  2  0 -2  6  2
Curve Equation t 84800m1 [0,0,0,-6700,-66000] 2 84800m2 [0,0,0,25300,-514000] 2
84800n (1 curve)	2	2+ 5+ 53-	2+  0 5+ -3  3  2 -5  2
Curve Equation t Generators 84800n1 [0,0,0,-80,160] 1 [1:9:1]&[9:13:1]
84800o (1 curve)	0	2+ 5+ 53-	2+  1 5+  2  2  5  7 -7
Curve Equation t 84800o1 [0,1,0,4367,86863] 1
84800p (2 curves)	0	2+ 5+ 53-	2+  1 5+ -2  0  5 -3 -5
Curve Equation t 84800p1 [0,1,0,-21633,-11951137] 1 84800p2 [0,1,0,-4685633,-3905543137] 1
84800q (1 curve)	2	2+ 5+ 53-	2+ -1 5+  2 -2 -7  3 -5
Curve Equation t Generators 84800q1 [0,-1,0,-433,6737] 1 [-19:88:1]&[-13:100:1]
84800r (1 curve)	0	2+ 5+ 53-	2+ -1 5+  2  4 -3  1  1
Curve Equation t 84800r1 [0,-1,0,14367,599137] 1
84800s (1 curve)	0	2+ 5+ 53-	2+ -1 5+ -2  0  1  5  5
Curve Equation t 84800s1 [0,-1,0,-4033,-112063] 1
84800t (1 curve)	0	2+ 5+ 53-	2+ -1 5+ -4 -5  0  7  1
Curve Equation t 84800t1 [0,-1,0,79167,-7750463] 1
84800u (1 curve)	0	2+ 5+ 53-	2+  2 5+ -1  1 -6  7  4
Curve Equation t 84800u1 [0,-1,0,-53,167] 1
84800v (1 curve)	0	2+ 5+ 53-	2+  2 5+  2 -5 -4 -3  4
Curve Equation t 84800v1 [0,-1,0,-44033,-3544063] 1
84800w (1 curve)	0	2+ 5+ 53-	2+  2 5+ -2  3  0 -3 -8
Curve Equation t 84800w1 [0,-1,0,-33,7937] 1
84800x (1 curve)	0	2+ 5+ 53-	2+ -2 5+  2 -3  0 -3  8
Curve Equation t 84800x1 [0,1,0,-33,-7937] 1
84800y (1 curve)	0	2+ 5+ 53-	2+ -2 5+  5 -1  2  7  8
Curve Equation t 84800y1 [0,1,0,-93333,10942963] 1
84800z (1 curve)	0	2+ 5+ 53-	2+ -3 5+  2  0  1 -3 -1
Curve Equation t 84800z1 [0,0,0,1961300,1976734000] 1
84800ba (1 curve)	0	2+ 5+ 53-	2+ -3 5+  2  3  4  3 -1
Curve Equation t 84800ba1 [0,0,0,-35027500,79829950000] 1
84800bb (1 curve)	0	2+ 5- 53+	2+  0 5-  3  3 -2  5  2
Curve Equation t 84800bb1 [0,0,0,-2000,20000] 1
84800bc (2 curves)	0	2+ 5- 53+	2+  0 5-  4  4  6  0 -4
Curve Equation t 84800bc1 [0,0,0,-8500,-300000] 2 84800bc2 [0,0,0,-3500,-650000] 2
84800bd (2 curves)	0	2+ 5- 53+	2+  0 5- -4 -4  6  0  4
Curve Equation t 84800bd1 [0,0,0,-8500,300000] 2 84800bd2 [0,0,0,-3500,650000] 2
84800be (1 curve)	0	2+ 5- 53+	2+  1 5-  4 -5  0 -7  1
Curve Equation t 84800be1 [0,1,0,3167,-60737] 1
84800bf (1 curve)	2	2+ 5- 53+	2+  2 5- -5 -1 -2 -7  8
Curve Equation t Generators 84800bf1 [0,-1,0,-3733,89037] 1 [36:3:1]&[234:507:8]
84800bg (1 curve)	0	2+ 5- 53+	2+ -2 5-  1  1  6 -7  4
Curve Equation t 84800bg1 [0,1,0,-1333,18213] 1
84800bh (1 curve)	0	2+ 5- 53+	2+  3 5- -2  3 -4 -3 -1
Curve Equation t 84800bh1 [0,0,0,-1401100,638639600] 1
84800bi (2 curves)	1	2+ 5- 53-	2+  0 5-  4 -4 -6  0  4
Curve Equation t Generators 84800bi1 [0,0,0,-340,2400] 2 [6:24:1] 84800bi2 [0,0,0,-140,5200] 2 [16:84:1]
84800bj (2 curves)	1	2+ 5- 53-	2+  0 5- -4  4 -6  0 -4
Curve Equation t Generators 84800bj1 [0,0,0,-340,-2400] 2 [-11:3:1] 84800bj2 [0,0,0,-140,-5200] 2 [29:123:1]
84800bk (2 curves)	1	2+ 5- 53-	2+  2 5- -1  3 -2 -3 -2
Curve Equation t Generators 84800bk1 [0,-1,0,-9333,349037] 1 [112028:1941381:343] 84800bk2 [0,-1,0,-49333,-3930963] 1 [2892:155025:1]
84800bl (1 curve)	1	2+ 5- 53-	2+  2 5- -3  5  6 -3 -6
Curve Equation t Generators 84800bl1 [0,-1,0,-33,-13] 1 [-28:69:64]
84800bm (2 curves)	0	2- 5+ 53+	2-  0 5+  2  0 -6  6 -2
Curve Equation t 84800bm1 [0,0,0,-220300,-39798000] 2 84800bm2 [0,0,0,-212300,-42822000] 2
84800bn (1 curve)	2	2- 5+ 53+	2-  1 5+  0 -4  1 -5 -7
Curve Equation t Generators 84800bn1 [0,1,0,-12033,-519937] 1 [127:128:1]&[133:500:1]
84800bo (2 curves)	0	2- 5+ 53+	2- -1 5+ -4  0  5  3 -1
Curve Equation t 84800bo1 [0,-1,0,-452833,149105537] 1 84800bo2 [0,-1,0,-39364833,95075953537] 1
84800bp (2 curves)	0	2- 5+ 53+	2-  2 5+ -1 -3  2  3  2
Curve Equation t 84800bp1 [0,-1,0,-373,-2643] 1 84800bp2 [0,-1,0,-1973,32237] 1
84800bq (2 curves)	0	2- 5+ 53+	2-  2 5+  2 -3 -4 -3 -4
Curve Equation t 84800bq1 [0,-1,0,1567,-59263] 1 84800bq2 [0,-1,0,-14433,1812737] 1
84800br (1 curve)	0	2- 5+ 53+	2-  2 5+ -3 -5 -6  3  6
Curve Equation t 84800br1 [0,-1,0,-833,3287] 1
84800bs (2 curves)	2	2- 5+ 53+	2- -2 5+  0 -4 -2 -2  2
Curve Equation t Generators 84800bs1 [0,1,0,-1733,27163] 2 [-41:176:1]&[-2:175:1] 84800bs2 [0,1,0,-1233,43663] 2 [-37:200:1]&[3:-200:1]
84800bt (1 curve)	0	2- 5+ 53+	2-  3 5+ -4  0 -3  3 -5
Curve Equation t 84800bt1 [0,0,0,500,-22000] 1
84800bu (2 curves)	1	2- 5+ 53-	2-  0 5+ -2  0 -2  6 -2
Curve Equation t Generators 84800bu1 [0,0,0,-6700,66000] 2 [-80:300:1] 84800bu2 [0,0,0,25300,514000] 2 [2365:115275:1]
84800bv (1 curve)	1	2- 5+ 53-	2-  0 5+  3 -3  2 -5 -2
Curve Equation t Generators 84800bv1 [0,0,0,-80,-160] 1 [49:337:1]
84800bw (1 curve)	1	2- 5+ 53-	2-  1 5+  2  0  1  5 -5
Curve Equation t Generators 84800bw1 [0,1,0,-4033,112063] 1 [-57:400:1]
84800bx (1 curve)	1	2- 5+ 53-	2-  1 5+  2 -2 -3 -5  5
Curve Equation t Generators 84800bx1 [0,1,0,-3408,-233062] 1 [103562793:1359184150:531441]
84800by (1 curve)	1	2- 5+ 53-	2-  1 5+ -2  2 -7  3  5
Curve Equation t Generators 84800by1 [0,1,0,-433,-6737] 1 [213:3100:1]
84800bz (1 curve)	1	2- 5+ 53-	2-  1 5+ -2 -4 -3  1 -1
Curve Equation t Generators 84800bz1 [0,1,0,14367,-599137] 1 [1101:6400:27]
84800ca (1 curve)	1	2- 5+ 53-	2-  1 5+  4  5  0  7 -1
Curve Equation t Generators 84800ca1 [0,1,0,79167,7750463] 1 [19917651:504389764:59319]
84800cb (2 curves)	1	2- 5+ 53-	2- -1 5+  2  0  5 -3  5
Curve Equation t Generators 84800cb1 [0,-1,0,-21633,11951137] 1 [21:-3392:1] 84800cb2 [0,-1,0,-4685633,3905543137] 1 [1221:1792:1]
84800cc (1 curve)	1	2- 5+ 53-	2- -1 5+ -2  2 -3 -5 -5
Curve Equation t Generators 84800cc1 [0,-1,0,-3408,233062] 1 [27:400:1]
84800cd (1 curve)	1	2- 5+ 53-	2- -1 5+ -2 -2  5  7  7
Curve Equation t Generators 84800cd1 [0,-1,0,4367,-86863] 1 [247:4000:1]
84800ce (1 curve)	1	2- 5+ 53-	2-  2 5+ -5  1  2  7 -8
Curve Equation t Generators 84800ce1 [0,-1,0,-93333,-10942963] 1 [2794598122107436:555984235033552533:70598620637]
84800cf (1 curve)	1	2- 5+ 53-	2- -2 5+  1 -1 -6  7 -4
Curve Equation t Generators 84800cf1 [0,1,0,-53,-167] 1 [-38:3:8]
84800cg (1 curve)	1	2- 5+ 53-	2- -2 5+ -2  5 -4 -3 -4
Curve Equation t Generators 84800cg1 [0,1,0,-44033,3544063] 1 [127:128:1]
84800ch (1 curve)	1	2- 5+ 53-	2-  3 5+ -2  0  1 -3  1
Curve Equation t Generators 84800ch1 [0,0,0,1961300,-1976734000] 1 [10131684062826:562605300104192:3862503009]
84800ci (1 curve)	1	2- 5+ 53-	2-  3 5+ -2 -3  4  3  1
Curve Equation t Generators 84800ci1 [0,0,0,-35027500,-79829950000] 1 [13418844756546228824767578860208:787070757016920070979128492689284:1561105329547332378223827477]
84800cj (1 curve)	1	2- 5+ 53-	2-  3 5+ -2 -6 -3  3 -1
Curve Equation t Generators 84800cj1 [0,0,0,-475,-4000] 1 [2655120:15055100:59319]
84800ck (1 curve)	1	2- 5+ 53-	2- -3 5+  2  6 -3  3  1
Curve Equation t Generators 84800ck1 [0,0,0,-475,4000] 1 [20:50:1]
84800cl (1 curve)	1	2- 5- 53+	2-  0 5- -3 -3 -2  5 -2
Curve Equation t Generators 84800cl1 [0,0,0,-2000,-20000] 1 [129:1367:1]
84800cm (1 curve)	1	2- 5- 53+	2- -1 5- -4  5  0 -7 -1
Curve Equation t Generators 84800cm1 [0,-1,0,3167,60737] 1 [221:3392:1]
84800cn (1 curve)	1	2- 5- 53+	2-  2 5- -1 -1  6 -7 -4
Curve Equation t Generators 84800cn1 [0,-1,0,-1333,-18213] 1 [-14884584:1540773:681472]
84800co (1 curve)	1	2- 5- 53+	2- -2 5-  5  1 -2 -7 -8
Curve Equation t Generators 84800co1 [0,1,0,-3733,-89037] 1 [17470:182803:125]
84800cp (1 curve)	1	2- 5- 53+	2- -3 5-  2 -3 -4 -3  1
Curve Equation t Generators 84800cp1 [0,0,0,-1401100,-638639600] 1 [23490:3595520:1]
84800cq (2 curves)	2	2- 5- 53-	2- -2 5-  1 -3 -2 -3  2
Curve Equation t Generators 84800cq1 [0,1,0,-9333,-349037] 1 [-58:23:1]&[2094:95741:1] 84800cq2 [0,1,0,-49333,3930963] 1 [-242:1325:1]&[158:325:1]
84800cr (1 curve)	0	2- 5- 53-	2- -2 5-  3 -5  6 -3  6
Curve Equation t 84800cr1 [0,1,0,-33,13] 1

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