Cremona's table of elliptic curves

11661 = 3 · 13² · 23

Class	r	Atkin-Lehner	Eigenvalues
11661a (4 curves)	1	3+ 13+ 23+	1 3+ -2 -4  0 13+  2  0
Curve Equation t Generators 11661a1 [1,1,0,-8791,404656] 2 [96:628:1] 11661a2 [1,1,0,-151596,22653675] 4 [126:35955:8] 11661a3 [1,1,0,-162581,19167036] 2 [1916:81176:1] 11661a4 [1,1,0,-2425491,1452933630] 4 [214314:959173:216]
11661b (2 curves)	1	3+ 13+ 23+	-1 3+  4 -2  2 13+  2 -6
Curve Equation t Generators 11661b1 [1,1,1,-16481,12297566] 2 [26070:4196332:1] 11661b2 [1,1,1,-906266,329061026] 2 [590:127:1]
11661c (1 curve)	1	3+ 13+ 23+	2 3+  2  1  0 13+ -4  0
Curve Equation t Generators 11661c1 [0,-1,1,-732,-55027] 1 [47090:112223:1000]
11661d (1 curve)	1	3+ 13+ 23+	-2 3+ -2 -1  0 13+ -4  0
Curve Equation t Generators 11661d1 [0,-1,1,-4,-24] 1 [6:11:1]
11661e (4 curves)	0	3+ 13+ 23-	1 3+  2  0  0 13+  6  4
Curve Equation t 11661e1 [1,1,0,-3214,-71417] 2 11661e2 [1,1,0,-4059,-32040] 4 11661e3 [1,1,0,-37014,2703225] 2 11661e4 [1,1,0,15376,-230277] 2
11661f (1 curve)	0	3+ 13+ 23-	2 3+  1  4  5 13+ -7 -6
Curve Equation t 11661f1 [0,-1,1,-295130,61715825] 1
11661g (1 curve)	2	3+ 13+ 23-	-2 3+ -1 -4 -5 13+ -7  6
Curve Equation t Generators 11661g1 [0,-1,1,-1746,28628] 1 [-43:149:1]&[22:19:1]
11661h (2 curves)	0	3- 13+ 23+	0 3-  3  2  3 13+ -3  2
Curve Equation t 11661h1 [0,1,1,-2929,49534] 3 11661h2 [0,1,1,-68839,-6969881] 1
11661i (2 curves)	2	3- 13+ 23+	0 3- -3 -2 -3 13+ -3 -2
Curve Equation t Generators 11661i1 [0,1,1,-17,17] 1 [-5:1:1]&[1:1:1] 11661i2 [0,1,1,-407,-3298] 1 [-12:1:1]&[42:235:1]
11661j (4 curves)	0	3- 13+ 23+	1 3- -2  4  4 13+  6  8
Curve Equation t 11661j1 [1,0,1,-3312742,2352879011] 2 11661j2 [1,0,1,-53209147,149387605265] 4 11661j3 [1,0,1,-53414482,148176457301] 2 11661j4 [1,0,1,-851346292,9561020819105] 2
11661k (2 curves)	0	3- 13+ 23+	1 3-  4 -2 -2 13+ -6  2
Curve Equation t 11661k1 [1,0,1,-4,-19771] 2 11661k2 [1,0,1,-10989,-437201] 2
11661l (2 curves)	0	3- 13+ 23+	-1 3-  0  2 -4 13+  4 -2
Curve Equation t 11661l1 [1,0,0,-88,-1561] 2 11661l2 [1,0,0,-2623,-51754] 2
11661m (2 curves)	0	3- 13+ 23+	-1 3-  0  2  6 13+ -6 -2
Curve Equation t 11661m1 [1,0,0,22119477,-131239092960] 2 11661m2 [1,0,0,-291623108,-1747703639397] 2
11661n (1 curve)	0	3- 13+ 23+	2 3-  3  2  3 13+  3  4
Curve Equation t 11661n1 [0,1,1,-123764,-11719795] 1
11661o (1 curve)	2	3- 13+ 23+	-2 3- -3 -2 -3 13+  3 -4
Curve Equation t Generators 11661o1 [0,1,1,-732,-5560] 1 [-22:19:1]&[-12:40:1]

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

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