Cremona's table of elliptic curves

24768 = 2⁶ · 3² · 43

Class	r	Atkin-Lehner	Eigenvalues
24768a (2 curves)	1	2+ 3+ 43+	2+ 3+  2  4  2 -2 -4  0
Curve Equation t Generators 24768a1 [0,0,0,-1404,-19440] 2 [-636:640:27] 24768a2 [0,0,0,756,-73872] 2 [182940:1199744:3375]
24768b (2 curves)	1	2+ 3+ 43+	2+ 3+ -2  4 -2 -2  4  0
Curve Equation t Generators 24768b1 [0,0,0,-156,720] 2 [-2:32:1] 24768b2 [0,0,0,84,2736] 2 [4:56:1]
24768c (2 curves)	1	2+ 3+ 43+	2+ 3+  3 -1  3  1 -6  1
Curve Equation t Generators 24768c1 [0,0,0,-13356,596528] 1 [182:2048:1] 24768c2 [0,0,0,32724,3162672] 1 [118:2944:1]
24768d (2 curves)	1	2+ 3+ 43+	2+ 3+ -3 -1 -3  1  6  1
Curve Equation t Generators 24768d1 [0,0,0,3636,-117136] 1 [46:384:1] 24768d2 [0,0,0,-120204,-16106256] 1 [11742:1271808:1]
24768e (1 curve)	0	2+ 3+ 43-	2+ 3+  1 -3  3  5  6 -1
Curve Equation t 24768e1 [0,0,0,-972,-25488] 1
24768f (1 curve)	2	2+ 3+ 43-	2+ 3+ -1 -3 -3  5 -6 -1
Curve Equation t Generators 24768f1 [0,0,0,-108,944] 1 [-10:32:1]&[-8:36:1]
24768g (2 curves)	0	2+ 3+ 43-	2+ 3+  2  2 -6  6  0 -8
Curve Equation t 24768g1 [0,0,0,-204,-1040] 2 24768g2 [0,0,0,-684,5680] 2
24768h (2 curves)	0	2+ 3+ 43-	2+ 3+ -2  2  6  6  0 -8
Curve Equation t 24768h1 [0,0,0,-1836,28080] 2 24768h2 [0,0,0,-6156,-153360] 2
24768i (2 curves)	2	2+ 3- 43+	2+ 3-  0  0 -2 -6 -6 -4
Curve Equation t Generators 24768i1 [0,0,0,-480,5096] 2 [-23:63:1]&[10:36:1] 24768i2 [0,0,0,-8220,286832] 2 [58:-72:1]&[2:520:1]
24768j (1 curve)	0	2+ 3- 43+	2+ 3-  0 -2 -1 -3 -3  8
Curve Equation t 24768j1 [0,0,0,-930,-19834] 1
24768k (2 curves)	0	2+ 3- 43+	2+ 3-  0 -4 -3  1  3 -2
Curve Equation t 24768k1 [0,0,0,-480,-4192] 1 24768k2 [0,0,0,2400,-12256] 1
24768l (1 curve)	0	2+ 3- 43+	2+ 3-  1  1 -5  5 -2 -1
Curve Equation t 24768l1 [0,0,0,-147,-772] 1
24768m (2 curves)	0	2+ 3- 43+	2+ 3- -1  1  5  7 -4  1
Curve Equation t 24768m1 [0,0,0,91572,-23829136] 1 24768m2 [0,0,0,-34502988,78016175984] 1
24768n (2 curves)	0	2+ 3- 43+	2+ 3-  2  2  0  6 -6 -4
Curve Equation t 24768n1 [0,0,0,-1524,-22880] 2 24768n2 [0,0,0,-1164,-33968] 2
24768o (2 curves)	0	2+ 3- 43+	2+ 3-  2 -2 -4 -2  2  4
Curve Equation t 24768o1 [0,0,0,-1164,-2320] 2 24768o2 [0,0,0,4596,-18448] 2
24768p (2 curves)	0	2+ 3- 43+	2+ 3- -2  2  0 -2 -6 -4
Curve Equation t 24768p1 [0,0,0,-1103916,-445664720] 2 24768p2 [0,0,0,-735276,-748096976] 2
24768q (1 curve)	0	2+ 3- 43+	2+ 3- -2  2 -3  1  3  2
Curve Equation t 24768q1 [0,0,0,384,9376] 1
24768r (1 curve)	0	2+ 3- 43+	2+ 3- -2 -2  1  1  7  6
Curve Equation t 24768r1 [0,0,0,144,-864] 1
24768s (2 curves)	0	2+ 3- 43+	2+ 3-  3  5 -3  1  6  7
Curve Equation t 24768s1 [0,0,0,-1596,154928] 1 24768s2 [0,0,0,-273756,55131248] 1
24768t (1 curve)	0	2+ 3- 43+	2+ 3- -3  1 -1 -3  6 -1
Curve Equation t 24768t1 [0,0,0,-1485219,698696444] 1
24768u (1 curve)	2	2+ 3- 43+	2+ 3- -3 -3  3 -1 -4 -3
Curve Equation t Generators 24768u1 [0,0,0,-4044,99056] 1 [22:-144:1]&[4:288:1]
24768v (1 curve)	2	2+ 3- 43+	2+ 3- -3 -3 -5  3  0 -7
Curve Equation t Generators 24768v1 [0,0,0,-8364,-324304] 1 [310:5184:1]&[118:576:1]
24768w (1 curve)	0	2+ 3- 43+	2+ 3- -4 -2 -1  5 -3 -4
Curve Equation t 24768w1 [0,0,0,-3522,-80930] 1
24768x (1 curve)	1	2+ 3- 43-	2+ 3-  0  2  1 -3 -3 -8
Curve Equation t Generators 24768x1 [0,0,0,-930,19834] 1 [41:225:1]
24768y (1 curve)	1	2+ 3- 43-	2+ 3-  1 -1  5  5 -2  1
Curve Equation t Generators 24768y1 [0,0,0,-147,772] 1 [-4:36:1]
24768z (1 curve)	1	2+ 3- 43-	2+ 3-  1  3  1 -1  4 -5
Curve Equation t Generators 24768z1 [0,0,0,-14412,-4435472] 1 [198:688:1]
24768ba (1 curve)	1	2+ 3- 43-	2+ 3-  1 -5  1  3  0  7
Curve Equation t Generators 24768ba1 [0,0,0,1428,56752] 1 [6:-256:1]
24768bb (1 curve)	1	2+ 3- 43-	2+ 3- -1 -1  3  3  0 -5
Curve Equation t Generators 24768bb1 [0,0,0,852,6064] 1 [14:-144:1]
24768bc (4 curves)	1	2+ 3- 43-	2+ 3-  2  0  0  2  6 -4
Curve Equation t Generators 24768bc1 [0,0,0,-14124,645680] 2 [-92:1080:1] 24768bc2 [0,0,0,-17004,363440] 4 [-2580:28520:27] 24768bc3 [0,0,0,60756,2758448] 2 [3181:179955:1] 24768bc4 [0,0,0,-140844,-20094928] 2 [-170149452:-388211480:804357]
24768bd (2 curves)	1	2+ 3- 43-	2+ 3-  2 -2  0  6 -6  4
Curve Equation t Generators 24768bd1 [0,0,0,-1524,22880] 2 [20:20:1] 24768bd2 [0,0,0,-1164,33968] 2 [-26:216:1]
24768be (1 curve)	1	2+ 3- 43-	2+ 3- -2 -2 -5 -3  3 -2
Curve Equation t Generators 24768be1 [0,0,0,-696,-7094] 1 [71:549:1]
24768bf (4 curves)	1	2+ 3- 43-	2+ 3- -2  4  4 -6  6  4
Curve Equation t Generators 24768bf1 [0,0,0,-13836,398320] 2 [20:360:1] 24768bf2 [0,0,0,-198156,33944560] 4 [8530:257355:8] 24768bf3 [0,0,0,-175116,42137584] 2 [-379:7353:1] 24768bf4 [0,0,0,-3170316,2172710896] 2 [3957982:-67260285:2744]
24768bg (1 curve)	1	2+ 3- 43-	2+ 3-  3 -1 -1 -1 -4 -1
Curve Equation t Generators 24768bg1 [0,0,0,-25415436,-49317647888] 1 [1659991313080058:-13492486528300224:283722907411]
24768bh (1 curve)	1	2+ 3- 43-	2+ 3-  3 -1 -1 -7  2  5
Curve Equation t Generators 24768bh1 [0,0,0,-156,2032] 1 [8:36:1]
24768bi (1 curve)	1	2+ 3- 43-	2+ 3- -3 -1  1 -3  6  1
Curve Equation t Generators 24768bi1 [0,0,0,-1485219,-698696444] 1 [15212:1869984:1]
24768bj (1 curve)	1	2+ 3- 43-	2+ 3- -4  0  3  5  3  2
Curve Equation t Generators 24768bj1 [0,0,0,-12,-70] 1 [19:81:1]
24768bk (1 curve)	1	2+ 3- 43-	2+ 3- -4  2  1  5 -3  4
Curve Equation t Generators 24768bk1 [0,0,0,-3522,80930] 1 [-23:387:1]
24768bl (1 curve)	0	2- 3+ 43+	2- 3+  1  3 -3  5  6  1
Curve Equation t 24768bl1 [0,0,0,-972,25488] 1
24768bm (1 curve)	0	2- 3+ 43+	2- 3+ -1  3  3  5 -6  1
Curve Equation t 24768bm1 [0,0,0,-108,-944] 1
24768bn (2 curves)	0	2- 3+ 43+	2- 3+  2 -2  6  6  0  8
Curve Equation t 24768bn1 [0,0,0,-204,1040] 2 24768bn2 [0,0,0,-684,-5680] 2
24768bo (2 curves)	0	2- 3+ 43+	2- 3+ -2 -2 -6  6  0  8
Curve Equation t 24768bo1 [0,0,0,-1836,-28080] 2 24768bo2 [0,0,0,-6156,153360] 2
24768bp (1 curve)	0	2- 3+ 43+	2- 3+  3  3 -1  5  2  1
Curve Equation t 24768bp1 [0,0,0,9,8] 1
24768bq (1 curve)	0	2- 3+ 43+	2- 3+ -3  3  1  5 -2  1
Curve Equation t 24768bq1 [0,0,0,81,-216] 1
24768br (2 curves)	1	2- 3+ 43-	2- 3+  2 -4 -2 -2 -4  0
Curve Equation t Generators 24768br1 [0,0,0,-1404,19440] 2 [10:80:1] 24768br2 [0,0,0,756,73872] 2 [64:620:1]
24768bs (2 curves)	1	2- 3+ 43-	2- 3+ -2 -4  2 -2  4  0
Curve Equation t Generators 24768bs1 [0,0,0,-156,-720] 2 [-8:4:1] 24768bs2 [0,0,0,84,-2736] 2 [16:52:1]
24768bt (2 curves)	1	2- 3+ 43-	2- 3+  3  1 -3  1 -6 -1
Curve Equation t Generators 24768bt1 [0,0,0,-13356,-596528] 1 [22780:217296:125] 24768bt2 [0,0,0,32724,-3162672] 1 [1452:55728:1]
24768bu (1 curve)	1	2- 3+ 43-	2- 3+  3 -3  1  5  2 -1
Curve Equation t Generators 24768bu1 [0,0,0,9,-8] 1 [8:24:1]
24768bv (2 curves)	1	2- 3+ 43-	2- 3+ -3  1  3  1  6 -1
Curve Equation t Generators 24768bv1 [0,0,0,3636,117136] 1 [32:516:1] 24768bv2 [0,0,0,-120204,16106256] 1 [192:324:1]
24768bw (1 curve)	1	2- 3+ 43-	2- 3+ -3 -3 -1  5 -2 -1
Curve Equation t Generators 24768bw1 [0,0,0,81,216] 1 [12:54:1]
24768bx (2 curves)	1	2- 3- 43+	2- 3-  0  0  2  2  2  4
Curve Equation t Generators 24768bx1 [0,0,0,-435,-2968] 2 [-4088:7848:343] 24768bx2 [0,0,0,780,-16576] 2 [208:3024:1]
24768by (1 curve)	1	2- 3- 43+	2- 3-  0 -2  3  1  1  0
Curve Equation t Generators 24768by1 [0,0,0,-30,214] 1 [-7:9:1]
24768bz (1 curve)	1	2- 3- 43+	2- 3-  1 -3 -1 -1  4  5
Curve Equation t Generators 24768bz1 [0,0,0,-14412,4435472] 1 [76:1944:1]
24768ca (1 curve)	1	2- 3- 43+	2- 3-  1  5 -1  3  0 -7
Curve Equation t Generators 24768ca1 [0,0,0,1428,-56752] 1 [28:72:1]
24768cb (1 curve)	1	2- 3- 43+	2- 3- -1  1 -3  3  0  5
Curve Equation t Generators 24768cb1 [0,0,0,852,-6064] 1 [16:108:1]
24768cc (4 curves)	1	2- 3- 43+	2- 3-  2  0  0  2  6  4
Curve Equation t Generators 24768cc1 [0,0,0,-14124,-645680] 2 [2330:112320:1] 24768cc2 [0,0,0,-17004,-363440] 4 [-38082:420160:1331] 24768cc3 [0,0,0,60756,-2758448] 2 [165692276893:-3265412924565:2263571297] 24768cc4 [0,0,0,-140844,20094928] 2 [-6:4576:1]
24768cd (1 curve)	1	2- 3- 43+	2- 3- -2  2  5 -3  3  2
Curve Equation t Generators 24768cd1 [0,0,0,-696,7094] 1 [19:27:1]
24768ce (4 curves)	1	2- 3- 43+	2- 3- -2 -4 -4 -6  6 -4
Curve Equation t Generators 24768ce1 [0,0,0,-13836,-398320] 2 [-32:108:1] 24768ce2 [0,0,0,-198156,-33944560] 4 [10189:1027485:1] 24768ce3 [0,0,0,-175116,-42137584] 2 [1858:77760:1] 24768ce4 [0,0,0,-3170316,-2172710896] 2 [-5700481824:-1602260:5545233]
24768cf (1 curve)	1	2- 3- 43+	2- 3-  3  1  1 -1 -4  1
Curve Equation t Generators 24768cf1 [0,0,0,-25415436,49317647888] 1 [4106432:21966228:1331]
24768cg (1 curve)	1	2- 3- 43+	2- 3-  3  1  1 -7  2 -5
Curve Equation t Generators 24768cg1 [0,0,0,-156,-2032] 1 [22:72:1]
24768ch (1 curve)	1	2- 3- 43+	2- 3- -4  0 -3  5  3 -2
Curve Equation t Generators 24768ch1 [0,0,0,-12,70] 1 [-1:9:1]
24768ci (2 curves)	0	2- 3- 43-	2- 3-  0  0  2 -6 -6  4
Curve Equation t 24768ci1 [0,0,0,-480,-5096] 2 24768ci2 [0,0,0,-8220,-286832] 2
24768cj (2 curves)	0	2- 3- 43-	2- 3-  0  0 -2  2  2 -4
Curve Equation t 24768cj1 [0,0,0,-435,2968] 2 24768cj2 [0,0,0,780,16576] 2
24768ck (1 curve)	0	2- 3- 43-	2- 3-  0  2 -3  1  1  0
Curve Equation t 24768ck1 [0,0,0,-30,-214] 1
24768cl (2 curves)	0	2- 3- 43-	2- 3-  0  4  3  1  3  2
Curve Equation t 24768cl1 [0,0,0,-480,4192] 1 24768cl2 [0,0,0,2400,12256] 1
24768cm (2 curves)	0	2- 3- 43-	2- 3- -1 -1 -5  7 -4 -1
Curve Equation t 24768cm1 [0,0,0,91572,23829136] 1 24768cm2 [0,0,0,-34502988,-78016175984] 1
24768cn (2 curves)	0	2- 3- 43-	2- 3-  2  2  4 -2  2 -4
Curve Equation t 24768cn1 [0,0,0,-1164,2320] 2 24768cn2 [0,0,0,4596,18448] 2
24768co (1 curve)	0	2- 3- 43-	2- 3- -2  2 -1  1  7 -6
Curve Equation t 24768co1 [0,0,0,144,864] 1
24768cp (2 curves)	0	2- 3- 43-	2- 3- -2 -2  0 -2 -6  4
Curve Equation t 24768cp1 [0,0,0,-1103916,445664720] 2 24768cp2 [0,0,0,-735276,748096976] 2
24768cq (1 curve)	0	2- 3- 43-	2- 3- -2 -2  3  1  3 -2
Curve Equation t 24768cq1 [0,0,0,384,-9376] 1
24768cr (2 curves)	0	2- 3- 43-	2- 3-  3 -5  3  1  6 -7
Curve Equation t 24768cr1 [0,0,0,-1596,-154928] 1 24768cr2 [0,0,0,-273756,-55131248] 1
24768cs (1 curve)	0	2- 3- 43-	2- 3- -3  3 -3 -1 -4  3
Curve Equation t 24768cs1 [0,0,0,-4044,-99056] 1
24768ct (1 curve)	0	2- 3- 43-	2- 3- -3  3  5  3  0  7
Curve Equation t 24768ct1 [0,0,0,-8364,324304] 1

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