Cremona's table of elliptic curves

72128 = 2⁶ · 7² · 23

Class	r	Atkin-Lehner	Eigenvalues
72128a (2 curves)	0	2+ 7- 23+	2+  0  2 7-  0 -4  4 -2
Curve Equation t 72128a1 [0,0,0,-11564,-543312] 2 72128a2 [0,0,0,-191884,-32351760] 2
72128b (4 curves)	0	2+ 7- 23+	2+  0  2 7- -4  6  2  4
Curve Equation t 72128b1 [0,0,0,-11564,466480] 2 72128b2 [0,0,0,-27244,-1070160] 4 72128b3 [0,0,0,82516,-7524048] 2 72128b4 [0,0,0,-387884,-92961232] 2
72128c (2 curves)	0	2+ 7- 23+	2+  1  0 7-  0 -1  6  2
Curve Equation t 72128c1 [0,1,0,327,-1009] 1 72128c2 [0,1,0,-3593,100127] 1
72128d (1 curve)	0	2+ 7- 23+	2+ -1  0 7-  2 -3  0  0
Curve Equation t 72128d1 [0,-1,0,327,17473] 1
72128e (1 curve)	0	2+ 7- 23+	2+ -1 -2 7-  2  7  4 -6
Curve Equation t 72128e1 [0,-1,0,-849,-9575] 1
72128f (2 curves)	0	2+ 7- 23+	2+  2  0 7- -4  0 -6 -6
Curve Equation t 72128f1 [0,-1,0,108127,-64410079] 2 72128f2 [0,-1,0,-1898913,-942289375] 2
72128g (2 curves)	0	2+ 7- 23+	2+  2 -2 7-  4  0 -6 -8
Curve Equation t 72128g1 [0,-1,0,-8689,251889] 2 72128g2 [0,-1,0,18751,1497665] 2
72128h (2 curves)	0	2+ 7- 23+	2+  2  4 7- -4 -2  4  0
Curve Equation t 72128h1 [0,-1,0,16399,389873] 2 72128h2 [0,-1,0,-73761,3365153] 2
72128i (2 curves)	0	2+ 7- 23+	2+ -2  2 7-  4  0  6  8
Curve Equation t 72128i1 [0,1,0,-177,-785] 2 72128i2 [0,1,0,383,-4257] 2
72128j (1 curve)	0	2+ 7- 23+	2+  3  2 7- -2 -1  0  2
Curve Equation t 72128j1 [0,0,0,-1650124,-827774248] 1
72128k (2 curves)	1	2+ 7- 23-	2+  0  0 7- -6 -2 -6 -6
Curve Equation t Generators 72128k1 [0,0,0,980,-16464] 2 [142:1728:1] 72128k2 [0,0,0,-6860,-170128] 2 [-56:196:1]
72128l (2 curves)	1	2+ 7- 23-	2+  0 -2 7-  4  4  8 -2
Curve Equation t Generators 72128l1 [0,0,0,-25676,-7370384] 2 [437283:15461543:343] 72128l2 [0,0,0,-746956,-247700880] 2 [50354467597:-1389873872073:35611289]
72128m (2 curves)	1	2+ 7- 23-	2+  0  4 7- -2 -2  2 -2
Curve Equation t Generators 72128m1 [0,0,0,-31948,2551920] 2 [-68390:2101659:1000] 72128m2 [0,0,0,-533708,150069360] 2 [-280:16660:1]
72128n (1 curve)	1	2+ 7- 23-	2+  1  0 7-  6 -3  0  0
Curve Equation t Generators 72128n1 [0,1,0,-5553,-162121] 1 [1472833262:37471806505:2248091]
72128o (1 curve)	1	2+ 7- 23-	2+  1 -2 7-  2 -1  0 -6
Curve Equation t Generators 72128o1 [0,1,0,1111,123647] 1 [1398:15337:27]
72128p (1 curve)	1	2+ 7- 23-	2+ -1 -4 7-  4 -5  2  6
Curve Equation t Generators 72128p1 [0,-1,0,-65,-2519] 1 [96:931:1]
72128q (2 curves)	1	2+ 7- 23-	2+  2  0 7- -4  6  0  0
Curve Equation t Generators 72128q1 [0,-1,0,-5553,-202831] 2 [296:4899:1] 72128q2 [0,-1,0,-95713,-11364639] 2 [705:16464:1]
72128r (2 curves)	1	2+ 7- 23-	2+  2  2 7- -2  4  2  0
Curve Equation t Generators 72128r1 [0,-1,0,-515937,-142468255] 2 [55983600069:-7906180254560:2803221] 72128r2 [0,-1,0,-523777,-137906943] 2 [88308159:580043184:103823]
72128s (2 curves)	1	2+ 7- 23-	2+  2 -2 7-  0  0 -2 -4
Curve Equation t Generators 72128s1 [0,-1,0,-13729,625185] 2 [72:69:1] 72128s2 [0,-1,0,-219809,39739169] 2 [19:5964:1]
72128t (2 curves)	1	2+ 7- 23-	2+  2 -2 7- -6 -4  2  4
Curve Equation t Generators 72128t1 [0,-1,0,-12609,-496831] 2 [-61:204:1] 72128t2 [0,-1,0,-43969,2996673] 2 [1041:32928:1]
72128u (2 curves)	1	2+ 7- 23-	2+ -2  0 7-  0  0  6  6
Curve Equation t Generators 72128u1 [0,1,0,821567,-42035169] 2 [626:26795:1] 72128u2 [0,1,0,-3325793,-341474561] 2 [258570:5053537:125]
72128v (2 curves)	1	2+ 7- 23-	2+ -2  2 7-  0  0  2  4
Curve Equation t Generators 72128v1 [0,1,0,-672737,-213092993] 2 [3352272914:739223174437:68921] 72128v2 [0,1,0,-10770657,-13608993665] 2 [21834852373541162518:-4806431371257797027615:448522799319323]
72128w (2 curves)	1	2+ 7- 23-	2+ -2 -2 7-  2 -4  6  0
Curve Equation t Generators 72128w1 [0,1,0,-43969,-922209] 2 [1101:35868:1] 72128w2 [0,1,0,-545729,-155163233] 2 [-421:384:1]
72128x (1 curve)	1	2+ 7- 23-	2+  3  0 7-  0 -5  6  6
Curve Equation t Generators 72128x1 [0,0,0,-10780,430808] 1 [43533:2989:729]
72128y (1 curve)	1	2+ 7- 23-	2+ -3  0 7-  6  1  0  0
Curve Equation t Generators 72128y1 [0,0,0,4787300,102119883544] 1 [415252757304432045719:628576006956794515295327:1957191881985464363]
72128z (1 curve)	1	2+ 7- 23-	2+ -3 -2 7- -2 -5 -4 -2
Curve Equation t Generators 72128z1 [0,0,0,-196,-2744] 1 [21:49:1]
72128ba (1 curve)	1	2+ 7- 23-	2+ -3 -4 7- -2  5  0 -4
Curve Equation t Generators 72128ba1 [0,0,0,10388,13720] 1 [77:1127:1]
72128bb (2 curves)	1	2- 7- 23+	2-  0  0 7-  6 -2 -6  6
Curve Equation t Generators 72128bb1 [0,0,0,980,16464] 2 [498:11136:1] 72128bb2 [0,0,0,-6860,170128] 2 [-84:392:1]
72128bc (2 curves)	1	2- 7- 23+	2-  0 -2 7- -4  4  8  2
Curve Equation t Generators 72128bc1 [0,0,0,-25676,7370384] 2 [-224:1372:1] 72128bc2 [0,0,0,-746956,247700880] 2 [469:735:1]
72128bd (2 curves)	1	2- 7- 23+	2-  0  4 7-  2 -2  2  2
Curve Equation t Generators 72128bd1 [0,0,0,-31948,-2551920] 2 [6566700949574920:-522486439175989911:1036433728000] 72128bd2 [0,0,0,-533708,-150069360] 2 [-6804429940:-443559760:16194277]
72128be (1 curve)	1	2- 7- 23+	2-  1 -4 7- -4 -5  2 -6
Curve Equation t Generators 72128be1 [0,1,0,-65,2519] 1 [2:49:1]
72128bf (1 curve)	1	2- 7- 23+	2- -1  0 7- -6 -3  0  0
Curve Equation t Generators 72128bf1 [0,-1,0,-5553,162121] 1 [40:49:1]
72128bg (1 curve)	1	2- 7- 23+	2- -1 -2 7- -2 -1  0  6
Curve Equation t Generators 72128bg1 [0,-1,0,1111,-123647] 1 [656:16807:1]
72128bh (2 curves)	1	2- 7- 23+	2-  2  0 7-  0  0  6 -6
Curve Equation t Generators 72128bh1 [0,-1,0,821567,42035169] 2 [2812245:832580364:103823] 72128bh2 [0,-1,0,-3325793,341474561] 2 [1512139973637291:-153757363410636524:141991553313]
72128bi (2 curves)	1	2- 7- 23+	2-  2  2 7-  0  0  2 -4
Curve Equation t Generators 72128bi1 [0,-1,0,-672737,213092993] 2 [-74009:33730620:2197] 72128bi2 [0,-1,0,-10770657,13608993665] 2 [16146518505:-161785145852:7414875]
72128bj (2 curves)	1	2- 7- 23+	2-  2 -2 7- -2 -4  6  0
Curve Equation t Generators 72128bj1 [0,-1,0,-43969,922209] 2 [-57:1800:1] 72128bj2 [0,-1,0,-545729,155163233] 2 [1573:56448:1]
72128bk (2 curves)	1	2- 7- 23+	2-  2 -4 7- -4  4  6  2
Curve Equation t Generators 72128bk1 [0,-1,0,-68665,7104441] 2 [201:1176:1] 72128bk2 [0,-1,0,-1105505,447761441] 2 [355:9996:1]
72128bl (2 curves)	1	2- 7- 23+	2- -2  0 7-  4  6  0  0
Curve Equation t Generators 72128bl1 [0,1,0,-5553,202831] 2 [9:392:1] 72128bl2 [0,1,0,-95713,11364639] 2 [193:344:1]
72128bm (2 curves)	1	2- 7- 23+	2- -2  0 7- -4  2  0 -4
Curve Equation t Generators 72128bm1 [0,1,0,-1388,-19874] 2 [45:104:1] 72128bm2 [0,1,0,327,-64121] 2 [83:736:1]
72128bn (2 curves)	1	2- 7- 23+	2- -2  2 7-  2  4  2  0
Curve Equation t Generators 72128bn1 [0,1,0,-515937,142468255] 2 [2865:148960:1] 72128bn2 [0,1,0,-523777,137906943] 2 [319:1840:1]
72128bo (2 curves)	1	2- 7- 23+	2- -2 -2 7-  0  0 -2  4
Curve Equation t Generators 72128bo1 [0,1,0,-13729,-625185] 2 [149:812:1] 72128bo2 [0,1,0,-219809,-39739169] 2 [3093:169940:1]
72128bp (2 curves)	1	2- 7- 23+	2- -2 -2 7-  2  4  6  4
Curve Equation t Generators 72128bp1 [0,1,0,-10649,-426329] 2 [-59:8:1] 72128bp2 [0,1,0,-12609,-260513] 2 [219:-2744:1]
72128bq (2 curves)	1	2- 7- 23+	2- -2 -2 7-  6 -4  2 -4
Curve Equation t Generators 72128bq1 [0,1,0,-12609,496831] 2 [143:1280:1] 72128bq2 [0,1,0,-43969,-2996673] 2 [-113:736:1]
72128br (1 curve)	1	2- 7- 23+	2-  3  0 7- -6  1  0  0
Curve Equation t Generators 72128br1 [0,0,0,4787300,-102119883544] 1 [647830351905061396084495313484942317525793606627078977936589979135843746731298518455580993896083117:55247374827798352258762428674042959447767088949373376632013474414830141521841494337438349445869984183:78946594375025868321040783873545420470592573964049353590173657721543282002891515051435852501281]
72128bs (1 curve)	1	2- 7- 23+	2-  3 -2 7-  2 -5 -4  2
Curve Equation t Generators 72128bs1 [0,0,0,-196,2744] 1 [903:4949:27]
72128bt (1 curve)	1	2- 7- 23+	2-  3 -4 7-  2  5  0  4
Curve Equation t Generators 72128bt1 [0,0,0,10388,-13720] 1 [865594233:13856783059:17779581]
72128bu (1 curve)	1	2- 7- 23+	2- -3  0 7-  0 -5  6 -6
Curve Equation t Generators 72128bu1 [0,0,0,-10780,-430808] 1 [4431:40229:27]
72128bv (2 curves)	0	2- 7- 23-	2-  0  2 7-  0 -4  4  2
Curve Equation t 72128bv1 [0,0,0,-11564,543312] 2 72128bv2 [0,0,0,-191884,32351760] 2
72128bw (4 curves)	0	2- 7- 23-	2-  0  2 7-  4  6  2 -4
Curve Equation t 72128bw1 [0,0,0,-11564,-466480] 2 72128bw2 [0,0,0,-27244,1070160] 4 72128bw3 [0,0,0,82516,7524048] 2 72128bw4 [0,0,0,-387884,92961232] 2
72128bx (1 curve)	0	2- 7- 23-	2-  1  0 7- -2 -3  0  0
Curve Equation t 72128bx1 [0,1,0,327,-17473] 1
72128by (1 curve)	0	2- 7- 23-	2-  1 -2 7- -2  7  4  6
Curve Equation t 72128by1 [0,1,0,-849,9575] 1
72128bz (2 curves)	0	2- 7- 23-	2- -1  0 7-  0 -1  6 -2
Curve Equation t 72128bz1 [0,-1,0,327,1009] 1 72128bz2 [0,-1,0,-3593,-100127] 1
72128ca (2 curves)	0	2- 7- 23-	2-  2  0 7-  4  2  0  4
Curve Equation t 72128ca1 [0,-1,0,-1388,19874] 2 72128ca2 [0,-1,0,327,64121] 2
72128cb (2 curves)	0	2- 7- 23-	2-  2  2 7- -4  0  6 -8
Curve Equation t 72128cb1 [0,-1,0,-177,785] 2 72128cb2 [0,-1,0,383,4257] 2
72128cc (2 curves)	0	2- 7- 23-	2-  2 -2 7- -2  4  6 -4
Curve Equation t 72128cc1 [0,-1,0,-10649,426329] 2 72128cc2 [0,-1,0,-12609,260513] 2
72128cd (2 curves)	0	2- 7- 23-	2- -2  0 7-  4  0 -6  6
Curve Equation t 72128cd1 [0,1,0,108127,64410079] 2 72128cd2 [0,1,0,-1898913,942289375] 2
72128ce (2 curves)	0	2- 7- 23-	2- -2 -2 7- -4  0 -6  8
Curve Equation t 72128ce1 [0,1,0,-8689,-251889] 2 72128ce2 [0,1,0,18751,-1497665] 2
72128cf (2 curves)	0	2- 7- 23-	2- -2  4 7-  4 -2  4  0
Curve Equation t 72128cf1 [0,1,0,16399,-389873] 2 72128cf2 [0,1,0,-73761,-3365153] 2
72128cg (2 curves)	0	2- 7- 23-	2- -2 -4 7-  4  4  6 -2
Curve Equation t 72128cg1 [0,1,0,-68665,-7104441] 2 72128cg2 [0,1,0,-1105505,-447761441] 2
72128ch (1 curve)	0	2- 7- 23-	2- -3  2 7-  2 -1  0 -2
Curve Equation t 72128ch1 [0,0,0,-1650124,827774248] 1

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