Cremona's table of elliptic curves

107200 = 2⁶ · 5² · 67

Class	r	Atkin-Lehner	Eigenvalues
107200a (1 curve)	1	2+ 5+ 67+	2+  0 5+  2  2  0 -7  5
Curve Equation t Generators 107200a1 [0,0,0,2500,-150000] 1 [297228:2318352:4913]
107200b (1 curve)	1	2+ 5+ 67+	2+  0 5+  2  2  6 -1 -1
Curve Equation t Generators 107200b1 [0,0,0,-402800,-100348000] 1 [222448053107914893263113255:7465289597541922833031925075:153263259028923492832111]
107200c (1 curve)	1	2+ 5+ 67+	2+  1 5+ -1  0 -2  6  4
Curve Equation t Generators 107200c1 [0,1,0,-8033,-522937] 1 [6893028:57840625:46656]
107200d (1 curve)	1	2+ 5+ 67+	2+  1 5+ -5  0  2 -2 -4
Curve Equation t Generators 107200d1 [0,1,0,-120633,16086863] 1 [202:47:1]
107200e (1 curve)	1	2+ 5+ 67+	2+  2 5+ -2  4 -6 -3 -1
Curve Equation t Generators 107200e1 [0,-1,0,267,-6163] 1 [33644:78675:2197]
107200f (1 curve)	1	2+ 5+ 67+	2+ -2 5+  2  4  0  5  4
Curve Equation t Generators 107200f1 [0,1,0,-3333,172963] 1 [-41790:490931:1000]
107200g (1 curve)	1	2+ 5+ 67+	2+ -2 5+  2 -4 -6  1 -5
Curve Equation t Generators 107200g1 [0,1,0,5467,26563] 1 [-2:125:1]
107200h (1 curve)	1	2+ 5+ 67+	2+ -2 5+ -2  0  2  1 -1
Curve Equation t Generators 107200h1 [0,1,0,-654133,735657363] 1 [486916414:153283756075:4913]
107200i (1 curve)	1	2+ 5+ 67+	2+ -2 5+ -2  6 -4  1 -7
Curve Equation t Generators 107200i1 [0,1,0,27,43] 1 [-1:4:1]
107200j (1 curve)	2	2+ 5+ 67-	2+  0 5+ -1  1 -2 -2  6
Curve Equation t Generators 107200j1 [0,0,0,-6622700,6620654000] 1 [-1835:112225:1]&[1046:28944:1]
107200k (1 curve)	0	2+ 5+ 67-	2+  0 5+ -1  5 -2  6 -2
Curve Equation t 107200k1 [0,0,0,-838700,-579266000] 1
107200l (1 curve)	0	2+ 5+ 67-	2+  0 5+  2  2 -2  3  1
Curve Equation t 107200l1 [0,0,0,-200,2250] 1
107200m (1 curve)	0	2+ 5+ 67-	2+  0 5+  2 -4 -2 -3  1
Curve Equation t 107200m1 [0,0,0,-2060,-36880] 1
107200n (1 curve)	0	2+ 5+ 67-	2+  0 5+ -2  2  4  1 -1
Curve Equation t 107200n1 [0,0,0,-95000,-11575000] 1
107200o (1 curve)	0	2+ 5+ 67-	2+  0 5+ -4  0 -6 -6  5
Curve Equation t 107200o1 [0,0,0,-20000,-1100000] 1
107200p (1 curve)	0	2+ 5+ 67-	2+  0 5+  5  3  6  6  2
Curve Equation t 107200p1 [0,0,0,-20300,1158000] 1
107200q (1 curve)	0	2+ 5+ 67-	2+  1 5+ -1  6  2 -4  8
Curve Equation t 107200q1 [0,1,0,-633,6863] 1
107200r (1 curve)	0	2+ 5+ 67-	2+ -1 5+  1  0  2 -2 -4
Curve Equation t 107200r1 [0,-1,0,367,2137] 1
107200s (1 curve)	0	2+ 5+ 67-	2+  2 5+  3 -1  0  0 -6
Curve Equation t 107200s1 [0,-1,0,-145633,21463137] 1
107200t (2 curves)	2	2+ 5+ 67-	2+ -2 5+  1 -3 -4  0 -2
Curve Equation t Generators 107200t1 [0,1,0,3967,388063] 1 [43:-800:1]&[-21:544:1] 107200t2 [0,1,0,-36033,-11011937] 1 [347:4288:1]&[1218:41875:1]
107200u (1 curve)	0	2+ 5+ 67-	2+ -2 5+ -1  3 -4 -4  2
Curve Equation t 107200u1 [0,1,0,70367,-40147137] 1
107200v (1 curve)	0	2+ 5+ 67-	2+ -2 5+  2  4  2 -3 -7
Curve Equation t 107200v1 [0,1,0,-1233,-17087] 1
107200w (1 curve)	0	2+ 5+ 67-	2+ -2 5+  2 -6 -4 -7 -1
Curve Equation t 107200w1 [0,1,0,-243333,-46282037] 1
107200x (2 curves)	2	2+ 5+ 67-	2+ -2 5+ -2  0 -4 -3  4
Curve Equation t Generators 107200x1 [0,1,0,-53,133] 1 [4:1:1]&[12:37:1] 107200x2 [0,1,0,147,853] 1 [12:-67:1]&[3866:85101:8]
107200y (1 curve)	2	2+ 5+ 67-	2+ -3 5+ -1 -2 -2  4  0
Curve Equation t Generators 107200y1 [0,0,0,-700,19000] 1 [-35:25:1]&[5:125:1]
107200z (1 curve)	0	2+ 5- 67+	2+  0 5-  2  2 -4 -1 -1
Curve Equation t 107200z1 [0,0,0,-3800,-92600] 1
107200ba (1 curve)	0	2+ 5- 67+	2+  0 5- -2 -4  2  3  1
Curve Equation t 107200ba1 [0,0,0,-51500,-4610000] 1
107200bb (1 curve)	0	2+ 5- 67+	2+  0 5-  4  0  6  6  5
Curve Equation t 107200bb1 [0,0,0,-800,-8800] 1
107200bc (1 curve)	0	2+ 5- 67+	2+  1 5- -1  4  2  0  4
Curve Equation t 107200bc1 [0,1,0,-1473,-24217] 1
107200bd (1 curve)	2	2+ 5- 67+	2+ -1 5- -3 -6 -2  2  0
Curve Equation t Generators 107200bd1 [0,-1,0,167,17537] 1 [-8:125:1]&[8:139:1]
107200be (2 curves)	0	2+ 5- 67+	2+  2 5-  2  0  4  3  4
Curve Equation t 107200be1 [0,-1,0,-1333,19287] 1 107200be2 [0,-1,0,3667,99287] 1
107200bf (1 curve)	0	2+ 5- 67+	2+  2 5- -2 -6  4  7 -1
Curve Equation t 107200bf1 [0,-1,0,-9733,-366363] 1
107200bg (1 curve)	0	2+ 5- 67+	2+  3 5- -3  2  2 -6  0
Curve Equation t 107200bg1 [0,0,0,-460,3800] 1
107200bh (1 curve)	1	2+ 5- 67-	2+  0 5- -2  2  0  7  5
Curve Equation t Generators 107200bh1 [0,0,0,100,-1200] 1 [228:424:27]
107200bi (1 curve)	1	2+ 5- 67-	2+  1 5-  3 -6  2 -2  0
Curve Equation t Generators 107200bi1 [0,1,0,7,143] 1 [2:13:1]
107200bj (1 curve)	1	2+ 5- 67-	2+ -1 5-  1  4 -2  0  4
Curve Equation t Generators 107200bj1 [0,-1,0,-36833,-2953463] 1 [14376:305587:27]
107200bk (1 curve)	1	2+ 5- 67-	2+  2 5-  2  6  4 -1 -7
Curve Equation t Generators 107200bk1 [0,-1,0,667,4037] 1 [-12765:128332:3375]
107200bl (1 curve)	1	2+ 5- 67-	2+  2 5- -2  4  0 -5  4
Curve Equation t Generators 107200bl1 [0,-1,0,-133,1437] 1 [1992:15891:512]
107200bm (1 curve)	1	2+ 5- 67-	2+ -3 5-  3  2 -2  6  0
Curve Equation t Generators 107200bm1 [0,0,0,-11500,475000] 1 [450:625:8]
107200bn (1 curve)	0	2- 5+ 67+	2-  0 5+  1 -1 -2 -2 -6
Curve Equation t 107200bn1 [0,0,0,-6622700,-6620654000] 1
107200bo (1 curve)	0	2- 5+ 67+	2-  0 5+  1 -5 -2  6  2
Curve Equation t 107200bo1 [0,0,0,-838700,579266000] 1
107200bp (1 curve)	0	2- 5+ 67+	2-  0 5+  2 -2  4  1  1
Curve Equation t 107200bp1 [0,0,0,-95000,11575000] 1
107200bq (1 curve)	2	2- 5+ 67+	2-  0 5+ -2  2 -2 -3 -4
Curve Equation t Generators 107200bq1 [0,0,0,10,-10] 1 [1:1:1]&[338:2203:8]
107200br (1 curve)	0	2- 5+ 67+	2-  0 5+ -2 -2 -2  3 -1
Curve Equation t 107200br1 [0,0,0,-200,-2250] 1
107200bs (1 curve)	0	2- 5+ 67+	2-  0 5+ -2  4 -2 -3 -1
Curve Equation t 107200bs1 [0,0,0,-2060,36880] 1
107200bt (1 curve)	0	2- 5+ 67+	2-  0 5+  4  0 -6 -6 -5
Curve Equation t 107200bt1 [0,0,0,-20000,1100000] 1
107200bu (1 curve)	0	2- 5+ 67+	2-  0 5+ -5 -3  6  6 -2
Curve Equation t 107200bu1 [0,0,0,-20300,-1158000] 1
107200bv (1 curve)	0	2- 5+ 67+	2-  1 5+ -1  0  2 -2  4
Curve Equation t 107200bv1 [0,1,0,367,-2137] 1
107200bw (1 curve)	0	2- 5+ 67+	2- -1 5+  1 -6  2 -4 -8
Curve Equation t 107200bw1 [0,-1,0,-633,-6863] 1
107200bx (1 curve)	0	2- 5+ 67+	2-  2 5+  1 -3 -4 -4 -2
Curve Equation t 107200bx1 [0,-1,0,70367,40147137] 1
107200by (2 curves)	0	2- 5+ 67+	2-  2 5+ -1  3 -4  0  2
Curve Equation t 107200by1 [0,-1,0,3967,-388063] 1 107200by2 [0,-1,0,-36033,11011937] 1
107200bz (2 curves)	0	2- 5+ 67+	2-  2 5+  2  0 -4 -3 -4
Curve Equation t 107200bz1 [0,-1,0,-53,-133] 1 107200bz2 [0,-1,0,147,-853] 1
107200ca (1 curve)	0	2- 5+ 67+	2-  2 5+ -2 -4  2 -3  7
Curve Equation t 107200ca1 [0,-1,0,-1233,17087] 1
107200cb (1 curve)	0	2- 5+ 67+	2-  2 5+ -2  6 -4 -7  1
Curve Equation t 107200cb1 [0,-1,0,-243333,46282037] 1
107200cc (1 curve)	0	2- 5+ 67+	2-  2 5+  4 -2 -2 -7 -7
Curve Equation t 107200cc1 [0,-1,0,-83,-463] 1
107200cd (1 curve)	0	2- 5+ 67+	2- -2 5+  2  0  2 -3 -1
Curve Equation t 107200cd1 [0,1,0,-73,-297] 1
107200ce (1 curve)	0	2- 5+ 67+	2- -2 5+  2  6 -4 -6  5
Curve Equation t 107200ce1 [0,1,0,-3,-17] 1
107200cf (1 curve)	0	2- 5+ 67+	2- -2 5+  3  5  4  4  6
Curve Equation t 107200cf1 [0,1,0,-33,-19937] 1
107200cg (1 curve)	0	2- 5+ 67+	2- -2 5+ -3  1  0  0  6
Curve Equation t 107200cg1 [0,1,0,-145633,-21463137] 1
107200ch (1 curve)	0	2- 5+ 67+	2-  3 5+  1  2 -2  4  0
Curve Equation t 107200ch1 [0,0,0,-700,-19000] 1
107200ci (1 curve)	1	2- 5+ 67-	2-  0 5+  2 -2 -2 -3  4
Curve Equation t Generators 107200ci1 [0,0,0,10,10] 1 [18:53:8]
107200cj (1 curve)	1	2- 5+ 67-	2-  0 5+ -2 -2  0 -7 -5
Curve Equation t Generators 107200cj1 [0,0,0,2500,150000] 1 [-24:276:1]
107200ck (1 curve)	1	2- 5+ 67-	2-  0 5+ -2 -2  6 -1  1
Curve Equation t Generators 107200ck1 [0,0,0,-402800,100348000] 1 [695565:4689625:2197]
107200cl (1 curve)	1	2- 5+ 67-	2- -1 5+  1  0 -2  6 -4
Curve Equation t Generators 107200cl1 [0,-1,0,-8033,522937] 1 [-854:3125:8]
107200cm (1 curve)	1	2- 5+ 67-	2- -1 5+  5  0  2 -2  4
Curve Equation t Generators 107200cm1 [0,-1,0,-120633,-16086863] 1 [344427947876616:82121264773471093:6058428767]
107200cn (1 curve)	1	2- 5+ 67-	2-  2 5+  2  0  2  1  1
Curve Equation t Generators 107200cn1 [0,-1,0,-654133,-735657363] 1 [412737909084:220745252652825:1442897]
107200co (1 curve)	1	2- 5+ 67-	2-  2 5+  2 -6 -4  1  7
Curve Equation t Generators 107200co1 [0,-1,0,27,-43] 1 [53:384:1]
107200cp (1 curve)	1	2- 5+ 67-	2-  2 5+ -2  0  2 -3  1
Curve Equation t Generators 107200cp1 [0,-1,0,-73,297] 1 [-9:12:1]
107200cq (1 curve)	1	2- 5+ 67-	2-  2 5+ -2  4 -6  1  5
Curve Equation t Generators 107200cq1 [0,-1,0,5467,-26563] 1 [5141276:166649025:4913]
107200cr (1 curve)	1	2- 5+ 67-	2-  2 5+ -2 -4  0  5 -4
Curve Equation t Generators 107200cr1 [0,-1,0,-3333,-172963] 1 [37564755822287848:459945475376597301:214018887850496]
107200cs (1 curve)	1	2- 5+ 67-	2-  2 5+ -2 -6 -4 -6 -5
Curve Equation t Generators 107200cs1 [0,-1,0,-3,17] 1 [8:21:1]
107200ct (1 curve)	1	2- 5+ 67-	2-  2 5+ -3 -5  4  4 -6
Curve Equation t Generators 107200ct1 [0,-1,0,-33,19937] 1 [32:225:1]
107200cu (1 curve)	1	2- 5+ 67-	2- -2 5+  2 -4 -6 -3  1
Curve Equation t Generators 107200cu1 [0,1,0,267,6163] 1 [-2:75:1]
107200cv (1 curve)	1	2- 5+ 67-	2- -2 5+ -4  2 -2 -7  7
Curve Equation t Generators 107200cv1 [0,1,0,-83,463] 1 [-2:25:1]
107200cw (1 curve)	1	2- 5- 67+	2-  0 5-  2 -2  0  7 -5
Curve Equation t Generators 107200cw1 [0,0,0,100,1200] 1 [24:132:1]
107200cx (1 curve)	1	2- 5- 67+	2-  0 5- -2 -2  2  3  4
Curve Equation t Generators 107200cx1 [0,0,0,250,1250] 1 [-284:467:64]
107200cy (1 curve)	1	2- 5- 67+	2-  1 5- -1 -4 -2  0 -4
Curve Equation t Generators 107200cy1 [0,1,0,-36833,2953463] 1 [2:1697:1]
107200cz (1 curve)	1	2- 5- 67+	2- -1 5- -3  6  2 -2  0
Curve Equation t Generators 107200cz1 [0,-1,0,7,-143] 1 [8:19:1]
107200da (1 curve)	1	2- 5- 67+	2- -2 5-  2  0 -2  3  1
Curve Equation t Generators 107200da1 [0,1,0,-1833,33463] 1 [33:100:1]
107200db (1 curve)	1	2- 5- 67+	2- -2 5-  2 -4  0 -5 -4
Curve Equation t Generators 107200db1 [0,1,0,-133,-1437] 1 [186:741:8]
107200dc (1 curve)	1	2- 5- 67+	2- -2 5-  2 -6  4  6 -5
Curve Equation t Generators 107200dc1 [0,1,0,-83,1963] 1 [34:199:1]
107200dd (1 curve)	1	2- 5- 67+	2- -2 5- -2 -6  4 -1  7
Curve Equation t Generators 107200dd1 [0,1,0,667,-4037] 1 [7:32:1]
107200de (1 curve)	1	2- 5- 67+	2-  3 5- -3 -2 -2  6  0
Curve Equation t Generators 107200de1 [0,0,0,-11500,-475000] 1 [18717390506904600:168537743547956875:112091720541696]
107200df (1 curve)	0	2- 5- 67-	2-  0 5-  2  2  2  3 -4
Curve Equation t 107200df1 [0,0,0,250,-1250] 1
107200dg (1 curve)	0	2- 5- 67-	2-  0 5-  2  4  2  3 -1
Curve Equation t 107200dg1 [0,0,0,-51500,4610000] 1
107200dh (1 curve)	2	2- 5- 67-	2-  0 5- -2 -2 -4 -1  1
Curve Equation t Generators 107200dh1 [0,0,0,-3800,92600] 1 [-71:67:1]&[-10:360:1]
107200di (1 curve)	0	2- 5- 67-	2-  0 5- -4  0  6  6 -5
Curve Equation t 107200di1 [0,0,0,-800,8800] 1
107200dj (1 curve)	0	2- 5- 67-	2-  1 5-  3  6 -2  2  0
Curve Equation t 107200dj1 [0,1,0,167,-17537] 1
107200dk (1 curve)	2	2- 5- 67-	2- -1 5-  1 -4  2  0 -4
Curve Equation t Generators 107200dk1 [0,-1,0,-1473,24217] 1 [16:67:1]&[72:535:1]
107200dl (1 curve)	0	2- 5- 67-	2-  2 5- -2  0 -2  3 -1
Curve Equation t 107200dl1 [0,-1,0,-1833,-33463] 1
107200dm (1 curve)	0	2- 5- 67-	2-  2 5- -2  6  4  6  5
Curve Equation t 107200dm1 [0,-1,0,-83,-1963] 1
107200dn (1 curve)	0	2- 5- 67-	2- -2 5-  2  6  4  7  1
Curve Equation t 107200dn1 [0,1,0,-9733,366363] 1
107200do (2 curves)	2	2- 5- 67-	2- -2 5- -2  0  4  3 -4
Curve Equation t Generators 107200do1 [0,1,0,-1333,-19287] 1 [72:513:1]&[304:5269:1] 107200do2 [0,1,0,3667,-99287] 1 [72:737:1]&[608:15075:1]
107200dp (1 curve)	0	2- 5- 67-	2- -3 5-  3 -2  2 -6  0
Curve Equation t 107200dp1 [0,0,0,-460,-3800] 1

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