Cremona's table of elliptic curves

10251 = 3² · 17 · 67

Class	r	Atkin-Lehner	Eigenvalues
10251a (1 curve)	1	3+ 17+ 67+	1 3+ -1  1  0 -2 17+  8
Curve Equation t Generators 10251a1 [1,-1,0,60,2309] 1 [4:49:1]
10251b (1 curve)	0	3+ 17+ 67-	2 3+ -1 -2  5 -1 17+  7
Curve Equation t 10251b1 [0,0,1,-216243,38762705] 1
10251c (1 curve)	0	3+ 17- 67+	-1 3+  1  1  0 -2 17-  8
Curve Equation t 10251c1 [1,-1,1,538,-62882] 1
10251d (1 curve)	1	3+ 17- 67-	-2 3+  1 -2 -5 -1 17-  7
Curve Equation t Generators 10251d1 [0,0,1,-24027,-1435656] 1 [329:5125:1]
10251e (4 curves)	0	3- 17+ 67+	-1 3-  2  0 -4 -2 17+  4
Curve Equation t 10251e1 [1,-1,1,-644,6446] 2 10251e2 [1,-1,1,-689,5528] 4 10251e3 [1,-1,1,-3704,-81304] 2 10251e4 [1,-1,1,1606,33068] 2
10251f (1 curve)	1	3- 17+ 67-	0 3- -2 -4 -3  0 17+ -3
Curve Equation t Generators 10251f1 [0,0,1,-966,11556] 1 [18:0:1]
10251g (1 curve)	1	3- 17+ 67-	0 3-  3 -4 -3 -5 17+  7
Curve Equation t Generators 10251g1 [0,0,1,-61356,-5861696] 1 [302:1775:1]
10251h (1 curve)	1	3- 17+ 67-	0 3- -3  2  3  1 17+ -5
Curve Equation t Generators 10251h1 [0,0,1,-4944,223987] 1 [43:301:1]
10251i (2 curves)	1	3- 17+ 67-	1 3-  4 -2 -2  2 17+  4
Curve Equation t Generators 10251i1 [1,-1,0,-720,-4077] 2 [44842:477399:343] 10251i2 [1,-1,0,2295,-31212] 2 [43329370:-537604999:343000]
10251j (1 curve)	1	3- 17- 67+	-1 3- -2  2  5  4 17- -2
Curve Equation t Generators 10251j1 [1,-1,1,1579,195630] 1 [110:1245:1]
10251k (1 curve)	1	3- 17- 67+	2 3-  1 -4 -1  1 17-  7
Curve Equation t Generators 10251k1 [0,0,1,-57,643] 1 [146:599:8]
10251l (1 curve)	0	3- 17- 67-	2 3-  1  2  3  5 17-  3
Curve Equation t 10251l1 [0,0,1,-4460637,-3626130591] 1
10251m (1 curve)	2	3- 17- 67-	-2 3-  1 -2 -5 -7 17- -5
Curve Equation t Generators 10251m1 [0,0,1,-1677,41274] 1 [44:-230:1]&[-36:234:1]

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