Cremona's table of elliptic curves

69993 = 3² · 7 · 11 · 101

Class	r	Atkin-Lehner	Eigenvalues
69993a (2 curves)	0	3+ 7+ 11+ 101-	1 3+ -2 7+ 11+ -4  6  8
Curve Equation t 69993a1 [1,-1,0,-33,0] 2 69993a2 [1,-1,0,132,-99] 2
69993b (2 curves)	0	3+ 7+ 11- 101+	-1 3+  2 7+ 11- -4 -6  8
Curve Equation t 69993b1 [1,-1,1,-299,298] 2 69993b2 [1,-1,1,1186,1486] 2
69993c (1 curve)	1	3- 7+ 11+ 101-	0 3- -1 7+ 11+  7  3  1
Curve Equation t Generators 69993c1 [0,0,1,-24258,-1145655] 1 [-111:423:1]
69993d (4 curves)	1	3- 7+ 11+ 101-	-1 3-  2 7+ 11+  2  2  4
Curve Equation t Generators 69993d1 [1,-1,1,61,2098] 2 [214:3020:1] 69993d2 [1,-1,1,-2144,37378] 4 [-46:215:1] 69993d3 [1,-1,1,-5609,-110924] 2 [-55:197:1] 69993d4 [1,-1,1,-33959,2417140] 2 [863:24373:1]
69993e (1 curve)	1	3- 7+ 11+ 101-	-2 3-  1 7+ 11+ -1  3  5
Curve Equation t Generators 69993e1 [0,0,1,-259257,50809374] 1 [303:269:1]
69993f (1 curve)	1	3- 7+ 11- 101+	0 3-  1 7+ 11- -1  7 -3
Curve Equation t Generators 69993f1 [0,0,1,-23292,-1169161] 1 [-111:220:1]
69993g (4 curves)	1	3- 7+ 11- 101+	1 3-  2 7+ 11- -2 -2  0
Curve Equation t Generators 69993g1 [1,-1,0,-30906,2029999] 2 [-190:1103:1] 69993g2 [1,-1,0,-489951,132123352] 4 [59686:5103397:8] 69993g3 [1,-1,0,-485406,134691277] 2 [3046:16297:8] 69993g4 [1,-1,0,-7839216,8450021479] 2 [7638510:624041569:1000]
69993h (1 curve)	1	3- 7+ 11- 101+	2 3- -2 7+ 11-  1  2  7
Curve Equation t Generators 69993h1 [0,0,1,-40071,3087441] 1 [898:491:8]
69993i (1 curve)	1	3- 7- 11+ 101+	2 3-  3 7- 11+ -5  3  5
Curve Equation t Generators 69993i1 [0,0,1,-20541,995193] 1 [34:7619:8]

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

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