Cremona's table of elliptic curves

107822 = 2 · 11 · 13² · 29

Class	r	Atkin-Lehner	Eigenvalues
107822a (1 curve)	1	2+ 11+ 13+ 29+	2+  1 -1  3 11+ 13+  3  8
Curve Equation t Generators 107822a1 [1,0,1,-258574,-203122112] 1 [103494:6287683:27]
107822b (1 curve)	0	2+ 11+ 13+ 29-	2+ -2 -2  3 11+ 13+  7  8
Curve Equation t 107822b1 [1,0,1,16558,1538916] 1
107822c (1 curve)	0	2+ 11+ 13- 29+	2+  0  2  1 11+ 13- -3  2
Curve Equation t 107822c1 [1,-1,0,-4999136,4329168624] 1
107822d (1 curve)	0	2+ 11+ 13- 29+	2+  0  3 -5 11+ 13- -1 -1
Curve Equation t 107822d1 [1,-1,0,7502,-1581228] 1
107822e (1 curve)	0	2+ 11+ 13- 29+	2+  0 -3  1 11+ 13- -3  7
Curve Equation t 107822e1 [1,-1,0,9346949,-6650088717] 1
107822f (1 curve)	0	2+ 11+ 13- 29+	2+ -3 -1  1 11+ 13- -3  2
Curve Equation t 107822f1 [1,-1,0,1521560,4519868224] 1
107822g (1 curve)	1	2+ 11+ 13- 29-	2+  0  1  3 11+ 13- -3  3
Curve Equation t Generators 107822g1 [1,-1,0,-64,222] 1 [-3:21:1]
107822h (1 curve)	1	2+ 11+ 13- 29-	2+  2  0 -3 11+ 13-  3  0
Curve Equation t Generators 107822h1 [1,1,0,600285,-137420083] 1 [31673:5622764:1]
107822i (1 curve)	0	2+ 11- 13+ 29+	2+  2  2 -1 11- 13+ -7  0
Curve Equation t 107822i1 [1,1,0,-4059,-3896563] 1
107822j (4 curves)	2	2+ 11- 13+ 29+	2+ -2  0 -2 11- 13+  0  4
Curve Equation t Generators 107822j1 [1,0,1,-219366,39457784] 2 [10479:-101921:27]&[92:4432:1] 107822j2 [1,0,1,-145006,66643800] 2 [180:6720:1]&[326:7188:1] 107822j3 [1,0,1,-966346,-329603064] 2 [-701:2209:1]&[-536:6136:1] 107822j4 [1,0,1,1283044,-1636048776] 2 [872:11647:1]&[3182:184600:1]
107822k (1 curve)	1	2+ 11- 13+ 29-	2+  0  0 -1 11- 13+ -1 -6
Curve Equation t Generators 107822k1 [1,-1,0,-1637,-28495] 1 [49:60:1]
107822l (4 curves)	1	2+ 11- 13+ 29-	2+  0  2 -4 11- 13+ -6 -4
Curve Equation t Generators 107822l1 [1,-1,0,-175031,27630045] 2 [-367:6690:1] 107822l2 [1,-1,0,-391351,-54009123] 4 [4079:255263:1] 107822l3 [1,-1,0,1244569,-389372723] 2 [387:12059:1] 107822l4 [1,-1,0,-5488391,-4946148115] 2 [-1342:1685:1]
107822m (2 curves)	0	2- 11- 13+ 29-	2-  1 -3  1 11- 13+  3  4
Curve Equation t 107822m1 [1,0,0,23320981518,-483969331218556] 1 107822m2 [1,0,0,-399787813097,-100114722731930791] 1
107822n (1 curve)	2	2- 11- 13- 29+	2-  0 -2 -1 11- 13- -3 -2
Curve Equation t Generators 107822n1 [1,-1,1,-29581,1977317] 1 [-175:1418:1]&[-674:16063:8]
107822o (1 curve)	0	2- 11- 13- 29+	2-  0  3 -1 11- 13- -3 -7
Curve Equation t 107822o1 [1,-1,1,1579634349,-14605506008167] 1
107822p (1 curve)	0	2- 11- 13- 29+	2-  0 -3  5 11- 13- -1  1
Curve Equation t 107822p1 [1,-1,1,1267806,-3470154463] 1
107822q (1 curve)	2	2- 11- 13- 29+	2- -3  1 -1 11- 13- -3 -2
Curve Equation t Generators 107822q1 [1,-1,1,9003,2055213] 1 [127:2224:1]&[-93:684:1]
107822r (1 curve)	1	2- 11- 13- 29-	2-  0 -1 -3 11- 13- -3 -3
Curve Equation t Generators 107822r1 [1,-1,1,-10848,455225] 1 [8790:285605:8]
107822s (1 curve)	1	2- 11- 13- 29-	2-  2  0  3 11- 13-  3  0
Curve Equation t Generators 107822s1 [1,1,1,3552,-61183] 1 [87:-1001:1]

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