Cremona's table of elliptic curves

23744 = 2⁶ · 7 · 53

Class	r	Atkin-Lehner	Eigenvalues
23744a (4 curves)	1	2+ 7+ 53+	2+  0  2 7+  4  2  2  0
Curve Equation t Generators 23744a1 [0,0,0,-3464,78472] 2 [-66:140:1] 23744a2 [0,0,0,-3484,77520] 4 [5232:378420:1] 23744a3 [0,0,0,436,242160] 2 [38:560:1] 23744a4 [0,0,0,-7724,-148048] 2 [1794632:129793980:343]
23744b (2 curves)	1	2+ 7+ 53+	2+ -2  0 7+  4 -2 -2 -2
Curve Equation t Generators 23744b1 [0,1,0,-273,-2033] 2 [21:44:1] 23744b2 [0,1,0,-4513,-118209] 2 [445:9284:1]
23744c (2 curves)	1	2+ 7+ 53+	2+ -2 -4 7+  4 -2  6 -2
Curve Equation t Generators 23744c1 [0,1,0,-4065,137599] 2 [29:212:1] 23744c2 [0,1,0,-71905,7396479] 2 [-190:3773:1]
23744d (1 curve)	2	2+ 7+ 53-	2+  0  1 7+ -3 -4 -3  0
Curve Equation t Generators 23744d1 [0,0,0,-332,2928] 1 [14:32:1]&[8:28:1]
23744e (1 curve)	0	2+ 7+ 53-	2+  0 -1 7+ -5  2  6  5
Curve Equation t 23744e1 [0,0,0,32,-96] 1
23744f (1 curve)	0	2+ 7+ 53-	2+  0  3 7+ -1 -2 -6 -3
Curve Equation t 23744f1 [0,0,0,-976,-333408] 1
23744g (2 curves)	0	2+ 7+ 53-	2+  0  4 7+  0  2  6  0
Curve Equation t 23744g1 [0,0,0,-1098128,442826120] 2 23744g2 [0,0,0,-17568988,28344462960] 2
23744h (1 curve)	0	2+ 7+ 53-	2+  1  0 7+  0 -1 -7  7
Curve Equation t 23744h1 [0,1,0,-2273,-43393] 1
23744i (2 curves)	0	2+ 7+ 53-	2+ -2  2 7+  0  2 -6 -2
Curve Equation t 23744i1 [0,1,0,48,-50] 2 23744i2 [0,1,0,-217,-633] 2
23744j (1 curve)	0	2+ 7+ 53-	2+  3 -2 7+ -2 -5  3  1
Curve Equation t 23744j1 [0,0,0,-10156,-395344] 1
23744k (1 curve)	0	2+ 7+ 53-	2+ -3  2 7+ -2 -1  3 -1
Curve Equation t 23744k1 [0,0,0,-5164,6029872] 1
23744l (2 curves)	0	2+ 7- 53+	2+  2  4 7-  4  2  6 -6
Curve Equation t 23744l1 [0,-1,0,-61,-147] 2 23744l2 [0,-1,0,79,-847] 2
23744m (2 curves)	0	2+ 7- 53+	2+ -2  4 7-  0  4 -2 -6
Curve Equation t 23744m1 [0,1,0,-1895201,1043816767] 2 23744m2 [0,1,0,-30659361,65331714367] 2
23744n (2 curves)	1	2+ 7- 53-	2+  0  0 7-  0  2 -2  0
Curve Equation t Generators 23744n1 [0,0,0,-80,264] 2 [-10:8:1] 23744n2 [0,0,0,-220,-912] 2 [836:24168:1]
23744o (1 curve)	1	2+ 7- 53-	2+  0 -3 7- -3 -4  1  0
Curve Equation t Generators 23744o1 [0,0,0,46516,6161776] 1 [2574:131072:1]
23744p (1 curve)	1	2+ 7- 53-	2+  0 -3 7- -3  6  6  5
Curve Equation t Generators 23744p1 [0,0,0,-124,-534] 1 [19:63:1]
23744q (1 curve)	1	2+ 7- 53-	2+  1  2 7-  6 -5 -1  3
Curve Equation t Generators 23744q1 [0,1,0,-897,41183] 1 [-23:224:1]
23744r (1 curve)	1	2+ 7- 53-	2+ -1  2 7-  2 -1  3 -3
Curve Equation t Generators 23744r1 [0,-1,0,63,577] 1 [3:28:1]
23744s (2 curves)	1	2+ 7- 53-	2+  2  2 7-  0  2 -6  2
Curve Equation t Generators 23744s1 [0,-1,0,48,50] 2 [300:13195:1728] 23744s2 [0,-1,0,-217,633] 2 [-102:273:8]
23744t (1 curve)	1	2+ 7- 53-	2+ -3  0 7-  0 -1  1  3
Curve Equation t Generators 23744t1 [0,0,0,234740,-392508944] 1 [1832:78652:1]
23744u (2 curves)	0	2- 7+ 53+	2-  0  2 7+  0  0 -6  4
Curve Equation t 23744u1 [0,0,0,316,-2112] 2 23744u2 [0,0,0,-1804,-19920] 2
23744v (2 curves)	0	2- 7+ 53+	2-  2  4 7+  0  4 -2  6
Curve Equation t 23744v1 [0,-1,0,-1895201,-1043816767] 2 23744v2 [0,-1,0,-30659361,-65331714367] 2
23744w (2 curves)	0	2- 7+ 53+	2- -2  4 7+ -4  2  6  6
Curve Equation t 23744w1 [0,1,0,-61,147] 2 23744w2 [0,1,0,79,847] 2
23744x (2 curves)	1	2- 7+ 53-	2-  0  0 7+  0  2 -2  0
Curve Equation t Generators 23744x1 [0,0,0,-80,-264] 2 [30:156:1] 23744x2 [0,0,0,-220,912] 2 [14:24:1]
23744y (1 curve)	1	2- 7+ 53-	2-  0 -3 7+  3 -4  1  0
Curve Equation t Generators 23744y1 [0,0,0,46516,-6161776] 1 [172:2632:1]
23744z (1 curve)	1	2- 7+ 53-	2-  0 -3 7+  3  6  6 -5
Curve Equation t Generators 23744z1 [0,0,0,-124,534] 1 [7:3:1]
23744ba (1 curve)	1	2- 7+ 53-	2-  1  2 7+ -2 -1  3  3
Curve Equation t Generators 23744ba1 [0,1,0,63,-577] 1 [7:16:1]
23744bb (1 curve)	1	2- 7+ 53-	2- -1  2 7+ -6 -5 -1 -3
Curve Equation t Generators 23744bb1 [0,-1,0,-897,-41183] 1 [373:7168:1]
23744bc (1 curve)	1	2- 7+ 53-	2-  3  0 7+  0 -1  1 -3
Curve Equation t Generators 23744bc1 [0,0,0,234740,392508944] 1 [34806:1438208:27]
23744bd (2 curves)	1	2- 7- 53+	2-  0  2 7-  0  0 -6 -4
Curve Equation t Generators 23744bd1 [0,0,0,316,2112] 2 [-4:28:1] 23744bd2 [0,0,0,-1804,19920] 2 [5:105:1]
23744be (4 curves)	1	2- 7- 53+	2-  0  2 7- -4  2  2  0
Curve Equation t Generators 23744be1 [0,0,0,-3464,-78472] 2 [588346:12253920:1331] 23744be2 [0,0,0,-3484,-77520] 4 [1762:73920:1] 23744be3 [0,0,0,436,-242160] 2 [112740:4732035:64] 23744be4 [0,0,0,-7724,148048] 2 [-36:616:1]
23744bf (2 curves)	1	2- 7- 53+	2-  2  0 7- -4 -2 -2  2
Curve Equation t Generators 23744bf1 [0,-1,0,-273,2033] 2 [-1:48:1] 23744bf2 [0,-1,0,-4513,118209] 2 [1245:2096:27]
23744bg (2 curves)	1	2- 7- 53+	2-  2 -4 7- -4 -2  6  2
Curve Equation t Generators 23744bg1 [0,-1,0,-4065,-137599] 2 [1229:43008:1] 23744bg2 [0,-1,0,-71905,-7396479] 2 [33501:1149344:27]
23744bh (1 curve)	0	2- 7- 53-	2-  0  1 7-  3 -4 -3  0
Curve Equation t 23744bh1 [0,0,0,-332,-2928] 1
23744bi (1 curve)	0	2- 7- 53-	2-  0 -1 7-  5  2  6 -5
Curve Equation t 23744bi1 [0,0,0,32,96] 1
23744bj (1 curve)	0	2- 7- 53-	2-  0  3 7-  1 -2 -6  3
Curve Equation t 23744bj1 [0,0,0,-976,333408] 1
23744bk (2 curves)	0	2- 7- 53-	2-  0  4 7-  0  2  6  0
Curve Equation t 23744bk1 [0,0,0,-1098128,-442826120] 2 23744bk2 [0,0,0,-17568988,-28344462960] 2
23744bl (1 curve)	2	2- 7- 53-	2- -1  0 7-  0 -1 -7 -7
Curve Equation t Generators 23744bl1 [0,-1,0,-2273,43393] 1 [29:32:1]&[-3:224:1]
23744bm (1 curve)	0	2- 7- 53-	2-  3  2 7-  2 -1  3  1
Curve Equation t 23744bm1 [0,0,0,-5164,-6029872] 1
23744bn (1 curve)	2	2- 7- 53-	2- -3 -2 7-  2 -5  3 -1
Curve Equation t Generators 23744bn1 [0,0,0,-10156,395344] 1 [114:-848:1]&[66:112:1]

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