Cremona's table of elliptic curves

1694 = 2 · 7 · 11²

Class	r	Atkin-Lehner	Eigenvalues
1694a (1 curve)	0	2+ 7+ 11-	2+ -1  2 7+ 11- -7  0  1
Curve Equation t 1694a1 [1,1,0,361,235] 1
1694b (1 curve)	0	2+ 7+ 11-	2+  3  2 7+ 11-  5  8 -3
Curve Equation t 1694b1 [1,-1,0,-1051,21797] 1
1694c (1 curve)	1	2+ 7- 11-	2+  0 -1 7- 11-  1  1  0
Curve Equation t Generators 1694c1 [1,-1,0,-50,-236] 1 [12:22:1]
1694d (4 curves)	1	2+ 7- 11-	2+  0  2 7- 11- -2 -2  0
Curve Equation t Generators 1694d1 [1,-1,0,-446,119444] 2 [223:3216:1] 1694d2 [1,-1,0,-39166,2961492] 4 [61:862:1] 1694d3 [1,-1,0,-73046,-2899748] 2 [-1257:17671:27] 1694d4 [1,-1,0,-624806,190249164] 2 [245:7077:1]
1694e (1 curve)	1	2- 7+ 11-	2-  0 -1 7+ 11- -1 -1  0
Curve Equation t Generators 1694e1 [1,-1,1,-6073,332313] 1 [333:5762:1]
1694f (6 curves)	1	2- 7+ 11-	2- -2  0 7+ 11-  4 -6 -2
Curve Equation t Generators 1694f1 [1,0,0,-63,-395] 2 [98:919:1] 1694f2 [1,0,0,-1273,-17577] 2 [806:7099:8] 1694f3 [1,0,0,542,8196] 2 [10:116:1] 1694f4 [1,0,0,-4298,88540] 2 [-62:374:1] 1694f5 [1,0,0,-20633,1142329] 2 [10:963:1] 1694f6 [1,0,0,-330393,73068601] 2 [362:-1149:1]
1694g (2 curves)	0	2- 7- 11-	2-  0 -4 7- 11- -2  4  6
Curve Equation t 1694g1 [1,-1,1,-3532,-81265] 2 1694g2 [1,-1,1,-56772,-5192305] 2
1694h (1 curve)	0	2- 7- 11-	2- -1  2 7- 11-  7  0 -1
Curve Equation t 1694h1 [1,1,1,3,1] 1
1694i (2 curves)	0	2- 7- 11-	2-  2  2 7- 11-  4  0 -4
Curve Equation t 1694i1 [1,1,1,-1757,28579] 2 1694i2 [1,1,1,-28377,1828091] 2
1694j (1 curve)	0	2- 7- 11-	2-  3  2 7- 11- -5 -8  3
Curve Equation t 1694j1 [1,-1,1,-127194,-28630247] 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
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