Cremona's table of elliptic curves

6699 = 3 · 7 · 11 · 29

Class	r	Atkin-Lehner	Eigenvalues
6699a (4 curves)	1	3+ 7+ 11+ 29+	1 3+  2 7+ 11+  2 -2  4
Curve Equation t Generators 6699a1 [1,1,0,-154,-665] 2 [37470:630793:125] 6699a2 [1,1,0,-759,7200] 4 [1200:40980:1] 6699a3 [1,1,0,-11924,496227] 2 [76916:2618747:64] 6699a4 [1,1,0,726,33633] 2 [9598:327911:8]
6699b (4 curves)	0	3+ 7+ 11- 29+	1 3+  2 7+ 11- -2 -2  0
Curve Equation t 6699b1 [1,1,0,-49,112] 2 6699b2 [1,1,0,-94,-185] 4 6699b3 [1,1,0,-1249,-17510] 2 6699b4 [1,1,0,341,-968] 2
6699c (1 curve)	1	3+ 7+ 11- 29-	-1 3+  1 7+ 11- -1  5 -2
Curve Equation t Generators 6699c1 [1,1,1,0,-12] 1 [2:0:1]
6699d (4 curves)	1	3+ 7+ 11- 29-	-1 3+ -2 7+ 11-  2  2 -8
Curve Equation t Generators 6699d1 [1,1,1,-33814,2404610] 4 [62:711:1] 6699d2 [1,1,1,-542619,153621456] 4 [381:1349:1] 6699d3 [1,1,1,-544214,152670836] 2 [2990:8791:8] 6699d4 [1,1,1,-8681904,9842626320] 2 [108948:-47361:64]
6699e (1 curve)	1	3+ 7- 11+ 29-	1 3+  3 7- 11+ -3  1 -6
Curve Equation t Generators 6699e1 [1,1,0,-2376,-45633] 1 [58:97:1]
6699f (4 curves)	0	3- 7+ 11+ 29+	1 3- -2 7+ 11+ -2 -2  0
Curve Equation t 6699f1 [1,0,1,48,361] 2 6699f2 [1,0,1,-557,4475] 4 6699f3 [1,0,1,-2152,-33805] 2 6699f4 [1,0,1,-8642,308471] 2

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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