Cremona's table of elliptic curves

100233 = 3² · 7 · 37 · 43

Class	r	Atkin-Lehner	Eigenvalues
100233a (1 curve)	1	3+ 7- 37+ 43-	2 3+ -1 7- -4 -2  0  6
Curve Equation t Generators 100233a1 [0,0,1,-663,10307] 1 [-30:899:8]
100233b (1 curve)	1	3+ 7- 37+ 43-	-2 3+  1 7-  4 -2  0  6
Curve Equation t Generators 100233b1 [0,0,1,-5967,-278296] 1 [108:580:1]
100233c (2 curves)	0	3+ 7- 37- 43-	0 3+  3 7-  0  5  6  2
Curve Equation t 100233c1 [0,0,1,144,-6801] 3 100233c2 [0,0,1,-23166,-1357486] 1
100233d (2 curves)	2	3+ 7- 37- 43-	0 3+ -3 7-  0  5 -6  2
Curve Equation t Generators 100233d1 [0,0,1,-2574,50277] 3 [130:899:8]&[452:11497:64] 100233d2 [0,0,1,1296,183620] 1 [30:-500:1]&[10:444:1]
100233e (2 curves)	0	3- 7+ 37+ 43+	1 3-  2 7+  0 -4  4  2
Curve Equation t 100233e1 [1,-1,0,-3816,-172341] 2 100233e2 [1,-1,0,-75411,-7947558] 2
100233f (1 curve)	0	3- 7+ 37+ 43+	1 3-  2 7+ -3 -1  7 -4
Curve Equation t 100233f1 [1,-1,0,-20826,1161999] 1
100233g (1 curve)	0	3- 7+ 37+ 43+	2 3-  3 7+  5  3  2 -4
Curve Equation t 100233g1 [0,0,1,1779,66843] 1
100233h (2 curves)	1	3- 7+ 37+ 43-	-1 3-  0 7+  0 -2  6 -8
Curve Equation t Generators 100233h1 [1,-1,1,-176600,28609786] 2 [244:-82:1] 100233h2 [1,-1,1,-2825615,1828880380] 2 [970:-445:1]
100233i (1 curve)	1	3- 7+ 37+ 43-	2 3- -3 7+ -3  1  6  4
Curve Equation t Generators 100233i1 [0,0,1,4761,281225] 1 [210:5207:8]
100233j (2 curves)	2	3- 7- 37+ 43-	1 3-  2 7-  0 -4 -4 -2
Curve Equation t Generators 100233j1 [1,-1,0,-4761,-126320] 2 [1414:16321:8]&[113012:4687745:64] 100233j2 [1,-1,0,-76356,-8102003] 2 [2598:7721:8]&[2156:98147:1]
100233k (1 curve)	2	3- 7- 37+ 43-	-2 3- -1 7- -6 -7  2 -2
Curve Equation t Generators 100233k1 [0,0,1,-3783,90310] 1 [-71:31:1]&[55:-221:1]
100233l (1 curve)	0	3- 7- 37- 43+	0 3- -1 7- -2  6  2  2
Curve Equation t 100233l1 [0,0,1,-48,-270] 1
100233m (1 curve)	2	3- 7- 37- 43+	0 3- -3 7-  4 -3 -8  4
Curve Equation t Generators 100233m1 [0,0,1,-804,10867] 1 [-5:121:1]&[5:83:1]
100233n (1 curve)	2	3- 7- 37- 43+	0 3- -3 7- -5  3 -2 -8
Curve Equation t Generators 100233n1 [0,0,1,-1376094,647128660] 1 [-10462:115979:8]&[626:-5569:1]
100233o (2 curves)	1	3- 7- 37- 43-	1 3-  0 7-  4  2 -6  4
Curve Equation t Generators 100233o1 [1,-1,0,-2007,-33912] 2 [3368552:167727256:1331] 100233o2 [1,-1,0,-792,-75465] 2 [10122:1013253:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations