Cremona's table of elliptic curves

126378 = 2 · 3² · 7 · 17 · 59

Class	r	Atkin-Lehner	Eigenvalues
126378a (1 curve)	0	2+ 3+ 7+ 17- 59+	2+ 3+ -1 7+  1 -5 17- -6
Curve Equation t 126378a1 [1,-1,0,-601980,-180763696] 1
126378b (2 curves)	0	2+ 3+ 7+ 17- 59+	2+ 3+  2 7+  4  4 17-  0
Curve Equation t 126378b1 [1,-1,0,-2784201,1788707645] 2 126378b2 [1,-1,0,-2969421,1537290017] 2
126378c (2 curves)	1	2+ 3+ 7+ 17- 59-	2+ 3+  0 7+  4 -2 17-  0
Curve Equation t Generators 126378c1 [1,-1,0,-9087,-327475] 2 [-58:73:1] 126378c2 [1,-1,0,-1527,-861211] 2 [131:1018:1]
126378d (1 curve)	0	2+ 3+ 7- 17+ 59+	2+ 3+  1 7-  4  2 17+  7
Curve Equation t 126378d1 [1,-1,0,-474,-11764] 1
126378e (2 curves)	2	2+ 3- 7+ 17+ 59+	2+ 3-  0 7+ -4 -2 17+  0
Curve Equation t Generators 126378e1 [1,-1,0,-6237,145093] 2 [-33:577:1]&[46:2623:8] 126378e2 [1,-1,0,15003,905485] 2 [-13:848:1]&[39:1225:1]
126378f (1 curve)	0	2+ 3- 7+ 17+ 59+	2+ 3- -1 7+  3 -1 17+  2
Curve Equation t 126378f1 [1,-1,0,82665,-16085601] 1
126378g (1 curve)	0	2+ 3- 7+ 17+ 59+	2+ 3-  3 7+  6  0 17+ -4
Curve Equation t 126378g1 [1,-1,0,-3213,-70227] 1
126378h (1 curve)	0	2+ 3- 7+ 17+ 59+	2+ 3- -3 7+  3  3 17+ -4
Curve Equation t 126378h1 [1,-1,0,-1616256,792791496] 1
126378i (1 curve)	1	2+ 3- 7+ 17+ 59-	2+ 3-  3 7+  0  4 17+ -1
Curve Equation t Generators 126378i1 [1,-1,0,27117,1766043] 1 [-6945:40044:125]
126378j (1 curve)	1	2+ 3- 7+ 17+ 59-	2+ 3- -3 7+  5 -5 17+ -8
Curve Equation t Generators 126378j1 [1,-1,0,-10701,-456827] 1 [137:728:1]
126378k (1 curve)	1	2+ 3- 7+ 17- 59+	2+ 3-  0 7+ -4  2 17- -5
Curve Equation t Generators 126378k1 [1,-1,0,-482112,34463232] 1 [-705:762567:125]
126378l (1 curve)	1	2+ 3- 7+ 17- 59+	2+ 3-  4 7+  6 -6 17- -1
Curve Equation t Generators 126378l1 [1,-1,0,-17068455,-21968211587] 1 [-7712677717474997008065021282425:103502949391249233928646767453054:2517851483368864806413234375]
126378m (1 curve)	1	2+ 3- 7+ 17- 59+	2+ 3- -4 7+ -6  2 17- -1
Curve Equation t Generators 126378m1 [1,-1,0,-39789,-3037581] 1 [-117:135:1]
126378n (1 curve)	0	2+ 3- 7+ 17- 59-	2+ 3-  0 7+  0  6 17-  1
Curve Equation t 126378n1 [1,-1,0,-31752,-2135570] 1
126378o (1 curve)	0	2+ 3- 7+ 17- 59-	2+ 3-  1 7+  5  5 17-  6
Curve Equation t 126378o1 [1,-1,0,-148419,22841077] 1
126378p (1 curve)	1	2+ 3- 7- 17+ 59+	2+ 3-  0 7- -2  6 17+ -5
Curve Equation t Generators 126378p1 [1,-1,0,-357,917] 1 [-11:64:1]
126378q (2 curves)	0	2+ 3- 7- 17+ 59-	2+ 3-  0 7-  0 -4 17+  5
Curve Equation t 126378q1 [1,-1,0,-1062,-11988] 1 126378q2 [1,-1,0,-17892,923454] 3
126378r (1 curve)	0	2+ 3- 7- 17+ 59-	2+ 3-  1 7-  2  4 17+ -4
Curve Equation t 126378r1 [1,-1,0,131166,42246036] 1
126378s (1 curve)	0	2+ 3- 7- 17+ 59-	2+ 3- -1 7-  0  2 17+ -6
Curve Equation t 126378s1 [1,-1,0,-4176585,5041550997] 1
126378t (2 curves)	0	2+ 3- 7- 17+ 59-	2+ 3- -1 7-  3 -1 17+  0
Curve Equation t 126378t1 [1,-1,0,8721810,31902368724] 1 126378t2 [1,-1,0,-4315590630,109122125003964] 1
126378u (1 curve)	0	2+ 3- 7- 17+ 59-	2+ 3- -4 7-  4 -2 17+  1
Curve Equation t 126378u1 [1,-1,0,-764379,254506819] 1
126378v (1 curve)	1	2+ 3- 7- 17- 59-	2+ 3-  2 7-  2 -1 17- -2
Curve Equation t Generators 126378v1 [1,-1,0,-31221,-2115923] 1 [2301:108872:1]
126378w (2 curves)	1	2+ 3- 7- 17- 59-	2+ 3-  2 7- -2 -2 17-  4
Curve Equation t Generators 126378w1 [1,-1,0,-3653361,-2686819811] 2 [31298:5510711:1] 126378w2 [1,-1,0,-3610881,-2752383443] 2 [2294:30983:1]
126378x (2 curves)	1	2+ 3- 7- 17- 59-	2+ 3-  3 7-  0 -4 17- -1
Curve Equation t Generators 126378x1 [1,-1,0,-24948,-1510488] 1 [500310:10287999:1000] 126378x2 [1,-1,0,-19818,-2153142] 3 [441:8424:1]
126378y (2 curves)	2	2- 3+ 7+ 17+ 59+	2- 3+  0 7+ -4 -2 17+  0
Curve Equation t Generators 126378y1 [1,-1,1,-1010,12465] 2 [-33:111:1]&[11:45:1] 126378y2 [1,-1,1,-170,31953] 2 [11:-183:1]&[99:939:1]
126378z (1 curve)	1	2- 3+ 7+ 17+ 59-	2- 3+  1 7+ -1 -5 17+ -6
Curve Equation t Generators 126378z1 [1,-1,1,-66887,6717247] 1 [155:158:1]
126378ba (2 curves)	1	2- 3+ 7+ 17+ 59-	2- 3+ -2 7+ -4  4 17+  0
Curve Equation t Generators 126378ba1 [1,-1,1,-309356,-66145313] 2 [5630:61339:8] 126378ba2 [1,-1,1,-329936,-56826689] 2 [1010644:126407717:64]
126378bb (1 curve)	1	2- 3+ 7- 17- 59-	2- 3+ -1 7- -4  2 17-  7
Curve Equation t Generators 126378bb1 [1,-1,1,-53,453] 1 [-7:24:1]
126378bc (1 curve)	1	2- 3- 7+ 17+ 59+	2- 3-  3 7+ -1  1 17+  6
Curve Equation t Generators 126378bc1 [1,-1,1,-10931,-6303981] 1 [371:-6558:1]
126378bd (4 curves)	0	2- 3- 7+ 17+ 59-	2- 3-  2 7+ -4  2 17+ -8
Curve Equation t 126378bd1 [1,-1,1,-2489,1481433] 2 126378bd2 [1,-1,1,-210569,36855033] 4 126378bd3 [1,-1,1,-391109,-35577615] 2 126378bd4 [1,-1,1,-3359309,2370701121] 2
126378be (1 curve)	0	2- 3- 7+ 17+ 59-	2- 3-  3 7+  6  4 17+  4
Curve Equation t 126378be1 [1,-1,1,-6545306,7001577433] 1
126378bf (1 curve)	0	2- 3- 7+ 17- 59+	2- 3-  4 7+  0  6 17- -5
Curve Equation t 126378bf1 [1,-1,1,-124763783,453977664639] 1
126378bg (1 curve)	1	2- 3- 7+ 17- 59-	2- 3-  0 7+  6 -2 17-  1
Curve Equation t Generators 126378bg1 [1,-1,1,-3259055,-1928443337] 1 [-1301:11054:1]
126378bh (1 curve)	1	2- 3- 7+ 17- 59-	2- 3-  1 7+  0  6 17- -6
Curve Equation t Generators 126378bh1 [1,-1,1,-24197,-6501603] 1 [275:2616:1]
126378bi (1 curve)	1	2- 3- 7+ 17- 59-	2- 3- -1 7+  0 -4 17-  5
Curve Equation t Generators 126378bi1 [1,-1,1,32737,8284295] 1 [-45:2614:1]
126378bj (1 curve)	1	2- 3- 7+ 17- 59-	2- 3- -1 7+ -6 -4 17- -4
Curve Equation t Generators 126378bj1 [1,-1,1,-779468,-616358545] 1 [6615:529285:1]
126378bk (1 curve)	1	2- 3- 7+ 17- 59-	2- 3- -4 7+  0  2 17- -7
Curve Equation t Generators 126378bk1 [1,-1,1,-17222,-865195] 1 [-75:55:1]
126378bl (1 curve)	0	2- 3- 7- 17+ 59+	2- 3-  3 7-  3  1 17+  8
Curve Equation t 126378bl1 [1,-1,1,-536,-24901] 1
126378bm (1 curve)	1	2- 3- 7- 17+ 59-	2- 3- -1 7-  0 -4 17+ -3
Curve Equation t Generators 126378bm1 [1,-1,1,-1233248,728156675] 1 [2955:-152741:1]
126378bn (4 curves)	1	2- 3- 7- 17+ 59-	2- 3-  2 7-  0  2 17+  0
Curve Equation t Generators 126378bn1 [1,-1,1,-8339,-823885] 2 [22521:634486:27] 126378bn2 [1,-1,1,-192659,-32453197] 4 [711:13414:1] 126378bn3 [1,-1,1,-253139,-10317517] 2 [567:5026:1] 126378bn4 [1,-1,1,-3081299,-2081076685] 2 [3543:175618:1]
126378bo (1 curve)	1	2- 3- 7- 17+ 59-	2- 3- -4 7-  6  2 17+ -3
Curve Equation t Generators 126378bo1 [1,-1,1,-6647,210215] 1 [45:4:1]
126378bp (1 curve)	1	2- 3- 7- 17- 59+	2- 3-  2 7- -2  5 17- -6
Curve Equation t Generators 126378bp1 [1,-1,1,-11939,-915357] 1 [147:626:1]
126378bq (1 curve)	2	2- 3- 7- 17- 59-	2- 3- -3 7- -5 -1 17- -8
Curve Equation t Generators 126378bq1 [1,-1,1,-26339,54621987] 1 [329:8862:1]&[635:-17454:1]

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