Cremona's table of elliptic curves

23688 = 2³ · 3² · 7 · 47

Class	r	Atkin-Lehner	Eigenvalues
23688a (2 curves)	1	2+ 3+ 7- 47-	2+ 3+  2 7- -4  4  2  2
Curve Equation t Generators 23688a1 [0,0,0,-54,145] 2 [8:15:1] 23688a2 [0,0,0,-159,-590] 2 [15:20:1]
23688b (1 curve)	1	2+ 3+ 7- 47-	2+ 3+ -2 7-  5 -6  5  5
Curve Equation t Generators 23688b1 [0,0,0,-636,7124] 1 [10:-42:1]
23688c (2 curves)	2	2+ 3- 7+ 47+	2+ 3-  0 7+ -6  0 -2 -8
Curve Equation t Generators 23688c1 [0,0,0,7305,368426] 2 [-5:576:1]&[7:648:1] 23688c2 [0,0,0,-54435,3912302] 2 [-161:2916:1]&[-106:2914:1]
23688d (1 curve)	0	2+ 3- 7+ 47+	2+ 3- -1 7+ -3  6  4 -6
Curve Equation t 23688d1 [0,0,0,-3,-754] 1
23688e (4 curves)	0	2+ 3- 7+ 47+	2+ 3-  2 7+  0 -6 -2  0
Curve Equation t 23688e1 [0,0,0,-7194,173945] 2 23688e2 [0,0,0,-106599,13394810] 4 23688e3 [0,0,0,-98139,15609638] 2 23688e4 [0,0,0,-1705539,857315342] 2
23688f (2 curves)	0	2+ 3- 7+ 47+	2+ 3-  4 7+  6 -4  6  0
Curve Equation t 23688f1 [0,0,0,-6663,-224390] 2 23688f2 [0,0,0,-108723,-13798370] 2
23688g (2 curves)	1	2+ 3- 7+ 47-	2+ 3-  0 7+ -2  4 -6  2
Curve Equation t Generators 23688g1 [0,0,0,-1035,-18954] 2 [42:108:1] 23688g2 [0,0,0,-18675,-982098] 2 [1218:42228:1]
23688h (4 curves)	1	2+ 3- 7- 47+	2+ 3- -2 7- -4 -2  6  8
Curve Equation t Generators 23688h1 [0,0,0,-41466,2963945] 4 [208:1827:1] 23688h2 [0,0,0,-149511,-18969190] 4 [551:8120:1] 23688h3 [0,0,0,265029,-105442234] 2 [54070:1186738:125] 23688h4 [0,0,0,-2292771,-1336216786] 2 [35026:2154845:8]
23688i (2 curves)	0	2+ 3- 7- 47-	2+ 3-  0 7-  2 -4 -2  4
Curve Equation t 23688i1 [0,0,0,-615,-10726] 2 23688i2 [0,0,0,-11955,-502882] 2
23688j (2 curves)	0	2+ 3- 7- 47-	2+ 3-  0 7- -6  4  2 -2
Curve Equation t 23688j1 [0,0,0,4965,89318] 2 23688j2 [0,0,0,-24195,783326] 2
23688k (1 curve)	0	2+ 3- 7- 47-	2+ 3- -1 7- -1 -2  8  2
Curve Equation t 23688k1 [0,0,0,-8643,-311474] 1
23688l (4 curves)	0	2+ 3- 7- 47-	2+ 3-  2 7-  4  6  6  0
Curve Equation t 23688l1 [0,0,0,681,-19798] 2 23688l2 [0,0,0,-8139,-254410] 4 23688l3 [0,0,0,-30819,1809470] 2 23688l4 [0,0,0,-126579,-17333458] 2
23688m (2 curves)	0	2+ 3- 7- 47-	2+ 3- -2 7-  2  0  2  2
Curve Equation t 23688m1 [0,0,0,-426,425] 2 23688m2 [0,0,0,1689,3386] 2
23688n (2 curves)	0	2+ 3- 7- 47-	2+ 3-  4 7-  0  2  2  8
Curve Equation t 23688n1 [0,0,0,-363,6550] 2 23688n2 [0,0,0,-7923,271150] 2
23688o (2 curves)	0	2+ 3- 7- 47-	2+ 3- -4 7-  2  4  2  2
Curve Equation t 23688o1 [0,0,0,-10587,1513510] 2 23688o2 [0,0,0,-273027,54788830] 2
23688p (1 curve)	1	2- 3+ 7- 47+	2- 3+  2 7- -5 -6 -5  5
Curve Equation t Generators 23688p1 [0,0,0,-5724,-192348] 1 [96:378:1]
23688q (2 curves)	1	2- 3+ 7- 47+	2- 3+ -2 7-  4  4 -2  2
Curve Equation t Generators 23688q1 [0,0,0,-486,-3915] 2 [-11:10:1] 23688q2 [0,0,0,-1431,15930] 2 [-17:188:1]
23688r (2 curves)	2	2- 3- 7+ 47-	2- 3- -2 7+  2 -4 -2 -6
Curve Equation t Generators 23688r1 [0,0,0,-111,3026] 2 [-11:54:1]&[-10:56:1] 23688r2 [0,0,0,-3891,92990] 2 [-13:376:1]&[38:2:1]
23688s (2 curves)	0	2- 3- 7+ 47-	2- 3- -2 7+  6 -6  2  0
Curve Equation t 23688s1 [0,0,0,-1011,12350] 2 23688s2 [0,0,0,-1371,2774] 2
23688t (2 curves)	2	2- 3- 7- 47+	2- 3- -2 7- -2 -4 -2 -6
Curve Equation t Generators 23688t1 [0,0,0,-2946,61045] 2 [-46:315:1]&[-18:329:1] 23688t2 [0,0,0,-831,146914] 2 [89:-882:1]&[-51:238:1]
23688u (1 curve)	1	2- 3- 7- 47-	2- 3-  0 7-  1  2 -3 -7
Curve Equation t Generators 23688u1 [0,0,0,60,628] 1 [-4:18:1]

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