Cremona's table of elliptic curves

120400 = 2⁴ · 5² · 7 · 43

Class	r	Atkin-Lehner	Eigenvalues
120400a (1 curve)	1	2+ 5+ 7+ 43+	2+ -2 5+ 7+  3  5  3  0
Curve Equation t Generators 120400a1 [0,1,0,-79633,-8693637] 1 [211336:2753975:512]
120400b (1 curve)	1	2+ 5+ 7+ 43+	2+ -2 5+ 7+  4  2 -7  4
Curve Equation t Generators 120400b1 [0,1,0,4167,-37037] 1 [682:7777:8]
120400c (2 curves)	1	2+ 5+ 7+ 43+	2+ -2 5+ 7+ -4  4  6 -6
Curve Equation t Generators 120400c1 [0,1,0,-2808,60388] 2 [24:-86:1] 120400c2 [0,1,0,-45808,3758388] 2 [118:100:1]
120400d (4 curves)	0	2+ 5+ 7+ 43-	2+  0 5+ 7+ -4 -2 -2  0
Curve Equation t 120400d1 [0,0,0,-58775,-6398250] 2 120400d2 [0,0,0,-983275,-375273750] 4 120400d3 [0,0,0,-1026275,-340658750] 2 120400d4 [0,0,0,-15732275,-24017920750] 2
120400e (1 curve)	0	2+ 5+ 7+ 43-	2+  0 5+ 7+  5 -1 -3 -4
Curve Equation t 120400e1 [0,0,0,-20,-180] 1
120400f (1 curve)	2	2+ 5+ 7- 43+	2+  0 5+ 7- -3 -5 -2  2
Curve Equation t Generators 120400f1 [0,0,0,25,-170] 1 [6:14:1]&[9:28:1]
120400g (1 curve)	0	2+ 5+ 7- 43+	2+  3 5+ 7-  5  2  4  5
Curve Equation t 120400g1 [0,0,0,-175675,29218250] 1
120400h (2 curves)	1	2+ 5+ 7- 43-	2+  0 5+ 7-  4 -2  4  6
Curve Equation t Generators 120400h1 [0,0,0,1325,-6750] 2 [131:1554:1] 120400h2 [0,0,0,-5675,-55750] 2 [-55:300:1]
120400i (4 curves)	1	2+ 5+ 7- 43-	2+  0 5+ 7- -4 -6 -2  4
Curve Equation t Generators 120400i1 [0,0,0,-12575,542750] 2 [74:132:1] 120400i2 [0,0,0,-13075,497250] 4 [-5:750:1] 120400i3 [0,0,0,21925,2702250] 2 [135:2850:1] 120400i4 [0,0,0,-56075,-4619750] 2 [-135:700:1]
120400j (1 curve)	1	2+ 5+ 7- 43-	2+ -1 5+ 7-  3 -6  0 -1
Curve Equation t Generators 120400j1 [0,-1,0,-2408,127312] 1 [2:350:1]
120400k (1 curve)	1	2+ 5+ 7- 43-	2+  2 5+ 7-  1  1 -1  4
Curve Equation t Generators 120400k1 [0,-1,0,-160833,-45232963] 1 [18282004:1108085643:4913]
120400l (1 curve)	1	2+ 5+ 7- 43-	2+ -2 5+ 7- -1 -3  7  2
Curve Equation t Generators 120400l1 [0,1,0,167,30963] 1 [-2:175:1]
120400m (2 curves)	0	2+ 5- 7+ 43+	2+  0 5- 7+  0 -2  6  0
Curve Equation t 120400m1 [0,0,0,-2215,44550] 2 120400m2 [0,0,0,-36515,2685650] 2
120400n (1 curve)	0	2+ 5- 7+ 43+	2+ -2 5- 7+  1 -1  1  4
Curve Equation t 120400n1 [0,1,0,-6433,-364437] 1
120400o (1 curve)	1	2+ 5- 7+ 43-	2+  0 5- 7+ -3  5  2  2
Curve Equation t Generators 120400o1 [0,0,0,625,-21250] 1 [25:100:1]
120400p (1 curve)	1	2+ 5- 7+ 43-	2+  1 5- 7+  1  5 -1  0
Curve Equation t Generators 120400p1 [0,1,0,28167,-4929037] 1 [161096:3036875:512]
120400q (1 curve)	1	2+ 5- 7- 43+	2+  0 5- 7-  5  1  3 -4
Curve Equation t Generators 120400q1 [0,0,0,-500,-22500] 1 [41:161:1]
120400r (1 curve)	1	2+ 5- 7- 43+	2+ -1 5- 7-  1 -5  1  0
Curve Equation t Generators 120400r1 [0,-1,0,1127,-39883] 1 [1612:64715:1]
120400s (2 curves)	0	2+ 5- 7- 43-	2+  0 5- 7-  0  2 -6  0
Curve Equation t 120400s1 [0,0,0,-55375,5568750] 2 120400s2 [0,0,0,-912875,335706250] 2
120400t (1 curve)	0	2+ 5- 7- 43-	2+  2 5- 7-  4 -2  7  4
Curve Equation t 120400t1 [0,-1,0,167,-363] 1
120400u (4 curves)	0	2- 5+ 7+ 43+	2-  0 5+ 7+  4 -2 -6 -4
Curve Equation t 120400u1 [0,0,0,-623075,189185250] 2 120400u2 [0,0,0,-751075,105857250] 4 120400u3 [0,0,0,2688925,804177250] 2 120400u4 [0,0,0,-6239075,-5925454750] 2
120400v (2 curves)	0	2- 5+ 7+ 43+	2-  0 5+ 7+ -4 -6  4  6
Curve Equation t 120400v1 [0,0,0,-4333075,14342807250] 2 120400v2 [0,0,0,-119021075,498440855250] 2
120400w (1 curve)	0	2- 5+ 7+ 43+	2-  0 5+ 7+  5 -3 -2  0
Curve Equation t 120400w1 [0,0,0,-20,13295] 1
120400x (1 curve)	0	2- 5+ 7+ 43+	2-  1 5+ 7+  5  2  4  3
Curve Equation t 120400x1 [0,1,0,13992,-172012] 1
120400y (1 curve)	0	2- 5+ 7+ 43+	2- -1 5+ 7+  1 -2  4  1
Curve Equation t 120400y1 [0,-1,0,-10008,24182512] 1
120400z (1 curve)	0	2- 5+ 7+ 43+	2-  2 5+ 7+  1  1 -2  4
Curve Equation t 120400z1 [0,-1,0,-1128,-24208] 1
120400ba (2 curves)	0	2- 5+ 7+ 43+	2- -2 5+ 7+ -4 -4 -2 -6
Curve Equation t 120400ba1 [0,1,0,-1149008,3951651988] 2 120400ba2 [0,1,0,-45181008,116233251988] 2
120400bb (1 curve)	2	2- 5+ 7+ 43+	2- -3 5+ 7+ -1  4  1 -1
Curve Equation t Generators 120400bb1 [0,0,0,-475,-7670] 1 [31:86:1]&[39:182:1]
120400bc (2 curves)	1	2- 5+ 7+ 43-	2-  0 5+ 7+  0 -2 -6 -4
Curve Equation t Generators 120400bc1 [0,0,0,48325,34086250] 2 [975:31750:1] 120400bc2 [0,0,0,-1327675,563846250] 2 [149395:3269742:125]
120400bd (1 curve)	1	2- 5+ 7+ 43-	2-  1 5+ 7+  3  2  0  1
Curve Equation t Generators 120400bd1 [0,1,0,-25293408,-51478844812] 1 [578320821773422004197753164014949685690964:74650010203763826741516274001314515364056250:31766344758308787535810315095485088923]
120400be (1 curve)	1	2- 5+ 7+ 43-	2-  1 5+ 7+ -3 -4  3 -5
Curve Equation t Generators 120400be1 [0,1,0,-23408,1418708] 1 [284:4214:1]
120400bf (1 curve)	1	2- 5+ 7+ 43-	2- -1 5+ 7+ -5 -2  0  3
Curve Equation t Generators 120400bf1 [0,-1,0,-9025808,-10434701888] 1 [441540269974:178614884950:127263527]
120400bg (1 curve)	1	2- 5+ 7+ 43-	2-  2 5+ 7+ -5  1  3  6
Curve Equation t Generators 120400bg1 [0,-1,0,-111133,14377137] 1 [-8241:120050:27]
120400bh (1 curve)	1	2- 5+ 7+ 43-	2-  3 5+ 7+  3 -2  0 -1
Curve Equation t Generators 120400bh1 [0,0,0,-475,10250] 1 [165:2350:27]
120400bi (1 curve)	1	2- 5+ 7- 43+	2-  1 5+ 7- -1 -4  5  3
Curve Equation t Generators 120400bi1 [0,1,0,-513027088,4479837820948] 1 [12852:96922:1]
120400bj (1 curve)	1	2- 5+ 7- 43+	2-  1 5+ 7-  3  1 -5  0
Curve Equation t Generators 120400bj1 [0,1,0,-133,685363] 1 [78:1075:1]
120400bk (1 curve)	1	2- 5+ 7- 43+	2-  1 5+ 7-  5 -1 -7  0
Curve Equation t Generators 120400bk1 [0,1,0,-15533,959063] 1 [-97:1250:1]
120400bl (1 curve)	1	2- 5+ 7- 43+	2- -1 5+ 7- -1  2 -1  1
Curve Equation t Generators 120400bl1 [0,-1,0,699792,-43201088] 1 [298:13846:1]
120400bm (1 curve)	1	2- 5+ 7- 43+	2- -1 5+ 7- -3 -6  4  5
Curve Equation t Generators 120400bm1 [0,-1,0,-57008,-5223488] 1 [9722:958250:1]
120400bn (1 curve)	1	2- 5+ 7- 43+	2-  2 5+ 7-  1 -7 -2  4
Curve Equation t Generators 120400bn1 [0,-1,0,1791306552,-1120705393168] 1 [128603791284:40330363322368:5545233]
120400bo (1 curve)	1	2- 5+ 7- 43+	2-  2 5+ 7- -4  2  5 -8
Curve Equation t Generators 120400bo1 [0,-1,0,-413,3377] 1 [13:6:1]
120400bp (1 curve)	1	2- 5+ 7- 43+	2-  2 5+ 7- -5  5 -5 -8
Curve Equation t Generators 120400bp1 [0,-1,0,-133,22137] 1 [-3:150:1]
120400bq (2 curves)	1	2- 5+ 7- 43+	2- -2 5+ 7-  4 -4 -2  6
Curve Equation t Generators 120400bq1 [0,1,0,-10008,579988] 2 [-36:946:1] 120400bq2 [0,1,0,-182008,29819988] 2 [238:200:1]
120400br (1 curve)	1	2- 5+ 7- 43+	2- -2 5+ 7-  5 -1  2  6
Curve Equation t Generators 120400br1 [0,1,0,-3333,-80162] 1 [28362:1688743:8]
120400bs (2 curves)	0	2- 5+ 7- 43-	2-  1 5+ 7-  3 -2  0  1
Curve Equation t 120400bs1 [0,1,0,473592,103347188] 1 120400bs2 [0,1,0,-11222408,14613267188] 1
120400bt (2 curves)	0	2- 5+ 7- 43-	2-  1 5+ 7- -3  4  3 -5
Curve Equation t 120400bt1 [0,1,0,-41732520208,-3281421135826412] 1 120400bt2 [0,1,0,-35369870208,-4315921518126412] 1
120400bu (2 curves)	2	2- 5+ 7- 43-	2-  1 5+ 7- -3 -5 -3 -8
Curve Equation t Generators 120400bu1 [0,1,0,68467,-58344937] 1 [623:-15050:1]&[1463:56350:1] 120400bu2 [0,1,0,-617533,1594915063] 1 [378:37625:1]&[507:37582:1]
120400bv (2 curves)	2	2- 5+ 7- 43-	2- -2 5+ 7-  3 -5 -6 -2
Curve Equation t Generators 120400bv1 [0,1,0,-173,2278] 1 [-6:56:1]&[22:98:1] 120400bv2 [0,1,0,-19773,1063618] 1 [10030:1204:125]&[82:18:1]
120400bw (2 curves)	0	2- 5+ 7- 43-	2- -2 5+ 7- -3  1  3  4
Curve Equation t 120400bw1 [0,1,0,-36533,-4665437] 1 120400bw2 [0,1,0,307467,86150563] 1
120400bx (2 curves)	1	2- 5- 7+ 43+	2-  0 5- 7+  0 -6  6  4
Curve Equation t Generators 120400bx1 [0,0,0,-2875,206250] 2 [-19:504:1] 120400bx2 [0,0,0,-72875,7556250] 2 [231:1746:1]
120400by (2 curves)	1	2- 5- 7+ 43+	2- -1 5- 7+ -3 -4 -3 -5
Curve Equation t Generators 120400by1 [0,-1,0,-1669300808,-26250701366288] 1 [50612:4348160:1] 120400by2 [0,-1,0,-1414794808,-34526806227088] 1 [2530782783180748:222483826203951104:50694081101]
120400bz (2 curves)	1	2- 5- 7+ 43+	2-  2 5- 7+  3  5  6 -2
Curve Equation t Generators 120400bz1 [0,-1,0,-4333,293412] 1 [192:2550:1] 120400bz2 [0,-1,0,-494333,133940912] 1 [959452:2363646:2197]
120400ca (2 curves)	0	2- 5- 7+ 43-	2-  0 5- 7+ -4  2  6  4
Curve Equation t 120400ca1 [0,0,0,-395,1850] 2 120400ca2 [0,0,0,1205,13050] 2
120400cb (1 curve)	2	2- 5- 7+ 43-	2-  1 5- 7+ -1 -2  1  1
Curve Equation t Generators 120400cb1 [0,1,0,27992,-334412] 1 [174:-3136:1]&[558:13760:1]
120400cc (1 curve)	0	2- 5- 7+ 43-	2- -1 5- 7+ -1  4 -5  3
Curve Equation t 120400cc1 [0,-1,0,-12825677208,560005378972912] 1
120400cd (1 curve)	0	2- 5- 7+ 43-	2-  2 5- 7+  5  1 -2  6
Curve Equation t 120400cd1 [0,-1,0,-133,-588] 1
120400ce (1 curve)	0	2- 5- 7+ 43-	2- -2 5- 7+  1  7  2  4
Curve Equation t 120400ce1 [0,1,0,44782663792,-139998608818412] 1
120400cf (1 curve)	2	2- 5- 7+ 43-	2- -2 5- 7+ -4 -2 -5 -8
Curve Equation t Generators 120400cf1 [0,1,0,-10333,401463] 1 [-117:150:1]&[83:350:1]
120400cg (2 curves)	0	2- 5- 7- 43+	2-  0 5- 7- -4 -2 -6  4
Curve Equation t 120400cg1 [0,0,0,-9875,231250] 2 120400cg2 [0,0,0,30125,1631250] 2
120400ch (1 curve)	2	2- 5- 7- 43+	2- -1 5- 7- -3  4 -3 -5
Curve Equation t Generators 120400ch1 [0,-1,0,-585208,178508912] 1 [92:11200:1]&[476:2752:1]
120400ci (2 curves)	1	2- 5- 7- 43-	2-  0 5- 7-  0  6 -6  4
Curve Equation t Generators 120400ci1 [0,0,0,-115,1650] 2 [-1:42:1] 120400ci2 [0,0,0,-2915,60450] 2 [39:78:1]
120400cj (1 curve)	1	2- 5- 7- 43-	2-  0 5- 7-  5  3  2  0
Curve Equation t Generators 120400cj1 [0,0,0,-500,1661875] 1 [-750:7525:8]
120400ck (1 curve)	1	2- 5- 7- 43-	2- -2 5- 7-  1 -1  2  4
Curve Equation t Generators 120400ck1 [0,1,0,-28208,-3082412] 1 [274:3136:1]
120400cl (1 curve)	1	2- 5- 7- 43-	2-  3 5- 7- -1 -4 -1 -1
Curve Equation t Generators 120400cl1 [0,0,0,-11875,-958750] 1 [5475:60200:27]

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