Cremona's table of elliptic curves

23312 = 2⁴ · 31 · 47

Class	r	Atkin-Lehner	Eigenvalues
23312a (1 curve)	2	2+ 31- 47+	2+  1 -1  1 -4 -4 -4 -4
Curve Equation t Generators 23312a1 [0,1,0,-4136,-65452] 1 [-22:124:1]&[2138:98836:1]
23312b (1 curve)	2	2+ 31- 47+	2+ -2 -1 -5 -4  2  2  5
Curve Equation t Generators 23312b1 [0,1,0,-16,51] 1 [5:11:1]&[13:47:1]
23312c (1 curve)	1	2+ 31- 47-	2+  1 -3  1  2  4  4 -4
Curve Equation t Generators 23312c1 [0,1,0,-415152,-103096204] 1 [-2171430:1457:5832]
23312d (1 curve)	0	2- 31+ 47+	2-  1 -2  0  4  3  0 -5
Curve Equation t 23312d1 [0,1,0,56,-908] 1
23312e (1 curve)	0	2- 31+ 47+	2- -1 -2 -4  0  1  0 -1
Curve Equation t 23312e1 [0,-1,0,40637656,-1833093141392] 1
23312f (2 curves)	0	2- 31+ 47+	2- -1  3  1  0 -4  0  4
Curve Equation t 23312f1 [0,-1,0,-744,496] 1 23312f2 [0,-1,0,-42104,3339376] 1
23312g (1 curve)	0	2- 31+ 47+	2- -1  4 -4  0  1  6  5
Curve Equation t 23312g1 [0,-1,0,4,28] 1
23312h (2 curves)	0	2- 31+ 47+	2- -2  4  0  4  6  6 -2
Curve Equation t 23312h1 [0,1,0,-3216,35092] 2 23312h2 [0,1,0,-44176,3557652] 2
23312i (4 curves)	1	2- 31+ 47-	2-  0 -2  0 -4 -6  2  4
Curve Equation t Generators 23312i1 [0,0,0,-491,4186] 2 [15:14:1] 23312i2 [0,0,0,-571,2730] 4 [23:42:1] 23312i3 [0,0,0,1909,20090] 4 [-123:2870:27] 23312i4 [0,0,0,-4331,-107814] 2 [399:7854:1]
23312j (1 curve)	1	2- 31+ 47-	2-  1 -1 -3  2  0  0  4
Curve Equation t Generators 23312j1 [0,1,0,-96,116] 1 [10:16:1]
23312k (2 curves)	1	2- 31+ 47-	2- -1 -3  1 -6 -4  0  4
Curve Equation t Generators 23312k1 [0,-1,0,-10432,-369664] 1 [416:8192:1] 23312k2 [0,-1,0,-184512,30505984] 1 [352:3008:1]
23312l (1 curve)	1	2- 31+ 47-	2-  2  1  1 -2 -2  2 -3
Curve Equation t Generators 23312l1 [0,-1,0,130,-2341] 1 [301:5217:1]
23312m (2 curves)	1	2- 31+ 47-	2-  2  3  1  0  2 -6 -5
Curve Equation t Generators 23312m1 [0,-1,0,-1234,-16353] 1 [1205919:36250713:1331] 23312m2 [0,-1,0,3106,-90133] 1 [8149:735597:1]
23312n (1 curve)	0	2- 31- 47-	2-  0  3  0 -5  2  4 -4
Curve Equation t 23312n1 [0,0,0,-994811,-822522582] 1
23312o (1 curve)	0	2- 31- 47-	2-  0  3 -3 -2  2 -2 -1
Curve Equation t 23312o1 [0,0,0,-3401,-76357] 1
23312p (1 curve)	0	2- 31- 47-	2- -2  3  5  0  4  4  7
Curve Equation t 23312p1 [0,1,0,26,3] 1
23312q (1 curve)	0	2- 31- 47-	2-  3  0  0  4 -1 -2 -1
Curve Equation t 23312q1 [0,0,0,-895,10346] 1
23312r (1 curve)	2	2- 31- 47-	2- -3 -3 -3 -2 -4  4 -4
Curve Equation t Generators 23312r1 [0,0,0,-7339,241114] 1 [-75:608:1]&[-38:682:1]

Data from Elliptic Curve Data by J. E. Cremona.
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