Cremona's table of elliptic curves

7488 = 2⁶ · 3² · 13

Class	r	Atkin-Lehner	Eigenvalues
7488a (2 curves)	1	2+ 3+ 13+	2+ 3+  2  0  2 13+  0 -4
Curve Equation t Generators 7488a1 [0,0,0,-459,3780] 2 [194:665:8] 7488a2 [0,0,0,-324,6048] 2 [-11:91:1]
7488b (2 curves)	1	2+ 3+ 13+	2+ 3+  2  0 -2 13+  0  4
Curve Equation t Generators 7488b1 [0,0,0,-459,-3780] 2 [53862:847295:216] 7488b2 [0,0,0,-324,-6048] 2 [996:31428:1]
7488c (2 curves)	1	2+ 3+ 13+	2+ 3+ -2  0  2 13+  0  4
Curve Equation t Generators 7488c1 [0,0,0,-51,140] 2 [-8:6:1] 7488c2 [0,0,0,-36,224] 2 [4:12:1]
7488d (2 curves)	1	2+ 3+ 13+	2+ 3+ -2  0 -2 13+  0 -4
Curve Equation t Generators 7488d1 [0,0,0,-51,-140] 2 [66:7:8] 7488d2 [0,0,0,-36,-224] 2 [20:84:1]
7488e (2 curves)	0	2+ 3+ 13-	2+ 3+  2  2  4 13-  0  2
Curve Equation t 7488e1 [0,0,0,36,80] 2 7488e2 [0,0,0,-204,752] 2
7488f (2 curves)	0	2+ 3+ 13-	2+ 3+  2 -2  4 13-  0  6
Curve Equation t 7488f1 [0,0,0,-204,2160] 2 7488f2 [0,0,0,-4044,98928] 2
7488g (2 curves)	0	2+ 3+ 13-	2+ 3+ -2  2 -4 13-  0  2
Curve Equation t 7488g1 [0,0,0,324,-2160] 2 7488g2 [0,0,0,-1836,-20304] 2
7488h (2 curves)	0	2+ 3+ 13-	2+ 3+ -2 -2 -4 13-  0  6
Curve Equation t 7488h1 [0,0,0,-1836,-58320] 2 7488h2 [0,0,0,-36396,-2671056] 2
7488i (2 curves)	0	2+ 3+ 13-	2+ 3+  4  4 -4 13-  0  0
Curve Equation t 7488i1 [0,0,0,-6048,184680] 2 7488i2 [0,0,0,-97308,11683440] 2
7488j (2 curves)	0	2+ 3+ 13-	2+ 3+ -4  4  4 13-  0  0
Curve Equation t 7488j1 [0,0,0,-672,-6840] 2 7488j2 [0,0,0,-10812,-432720] 2
7488k (4 curves)	0	2+ 3- 13+	2+ 3-  0  2  0 13+  6 -2
Curve Equation t 7488k1 [0,0,0,-480,-88] 2 7488k2 [0,0,0,-5340,-149776] 2 7488k3 [0,0,0,-26400,1651016] 2 7488k4 [0,0,0,-26940,1579952] 2
7488l (1 curve)	0	2+ 3- 13+	2+ 3-  1  3  2 13+  3 -2
Curve Equation t 7488l1 [0,0,0,-12,848] 1
7488m (1 curve)	0	2+ 3- 13+	2+ 3-  1 -3 -2 13+  3  2
Curve Equation t 7488m1 [0,0,0,-12,-848] 1
7488n (4 curves)	0	2+ 3- 13+	2+ 3-  2  0  0 13+ -2  4
Curve Equation t 7488n1 [0,0,0,-264,-952] 2 7488n2 [0,0,0,-1884,30800] 4 7488n3 [0,0,0,-29964,1996400] 2 7488n4 [0,0,0,276,97328] 2
7488o (4 curves)	0	2+ 3- 13+	2+ 3-  2  4 -4 13+ -2  8
Curve Equation t 7488o1 [0,0,0,-11244,-9580880] 2 7488o2 [0,0,0,-748524,-246985040] 4 7488o3 [0,0,0,-11945964,-15892048208] 2 7488o4 [0,0,0,-1347564,204211888] 2
7488p (4 curves)	0	2+ 3- 13+	2+ 3-  2 -4  4 13+ -2  0
Curve Equation t 7488p1 [0,0,0,276,3760] 2 7488p2 [0,0,0,-2604,44080] 4 7488p3 [0,0,0,-11244,-415568] 2 7488p4 [0,0,0,-40044,3084208] 2
7488q (4 curves)	0	2+ 3- 13+	2+ 3- -2  0  4 13+  6  8
Curve Equation t 7488q1 [0,0,0,-831,-1316] 2 7488q2 [0,0,0,-8436,296800] 4 7488q3 [0,0,0,-134796,19048624] 2 7488q4 [0,0,0,-3756,624400] 2
7488r (4 curves)	0	2+ 3- 13+	2+ 3- -2  0 -4 13+  6 -8
Curve Equation t 7488r1 [0,0,0,-831,1316] 2 7488r2 [0,0,0,-8436,-296800] 4 7488r3 [0,0,0,-134796,-19048624] 2 7488r4 [0,0,0,-3756,-624400] 2
7488s (4 curves)	0	2+ 3- 13+	2+ 3- -2  4  0 13+ -2 -8
Curve Equation t 7488s1 [0,0,0,-1416,-20504] 2 7488s2 [0,0,0,-1596,-14960] 4 7488s3 [0,0,0,-10956,430576] 2 7488s4 [0,0,0,4884,-105680] 2
7488t (3 curves)	0	2+ 3- 13+	2+ 3- -3 -1  6 13+  3 -2
Curve Equation t 7488t1 [0,0,0,276,-2896] 1 7488t2 [0,0,0,-2604,101936] 1 7488t3 [0,0,0,-264684,52413104] 1
7488u (2 curves)	2	2+ 3- 13+	2+ 3- -4 -2 -4 13+ -2  2
Curve Equation t Generators 7488u1 [0,0,0,-192,-920] 2 [-7:9:1]&[-6:4:1] 7488u2 [0,0,0,-732,6640] 2 [-30:40:1]&[-19:117:1]
7488v (2 curves)	1	2+ 3- 13-	2+ 3-  0  0  6 13- -2  0
Curve Equation t Generators 7488v1 [0,0,0,-120,1064] 2 [-2:36:1] 7488v2 [0,0,0,-2460,46928] 2 [16:108:1]
7488w (2 curves)	1	2+ 3- 13-	2+ 3-  0 -4 -2 13-  6  4
Curve Equation t Generators 7488w1 [0,0,0,-120,232] 2 [-7:27:1] 7488w2 [0,0,0,420,1744] 2 [5:63:1]
7488x (2 curves)	1	2+ 3- 13-	2+ 3- -1  1 -2 13-  3 -6
Curve Equation t Generators 7488x1 [0,0,0,-1548,-35856] 1 [382:7424:1] 7488x2 [0,0,0,-122508,18108144] 1 [-290:5408:1]
7488y (1 curve)	1	2+ 3- 13-	2+ 3- -1  5 -2 13-  3  2
Curve Equation t Generators 7488y1 [0,0,0,-588,5744] 1 [14:16:1]
7488z (2 curves)	1	2+ 3- 13-	2+ 3-  2  2 -2 13- -6 -2
Curve Equation t Generators 7488z1 [0,0,0,-5619,261740] 2 [-40:650:1] 7488z2 [0,0,0,-104484,12995552] 2 [181:117:1]
7488ba (2 curves)	1	2+ 3- 13-	2+ 3-  2 -2  2 13- -6  2
Curve Equation t Generators 7488ba1 [0,0,0,-5619,-261740] 2 [2640:135590:1] 7488ba2 [0,0,0,-104484,-12995552] 2 [404:3276:1]
7488bb (2 curves)	1	2+ 3- 13-	2+ 3-  2 -2 -2 13- -6  6
Curve Equation t Generators 7488bb1 [0,0,0,-144,648] 2 [-6:36:1] 7488bb2 [0,0,0,36,2160] 2 [-3:45:1]
7488bc (2 curves)	1	2+ 3- 13-	2+ 3- -2  2 -6 13-  2  6
Curve Equation t Generators 7488bc1 [0,0,0,69,-340] 2 [194:999:8] 7488bc2 [0,0,0,-516,-3616] 2 [-11:27:1]
7488bd (2 curves)	1	2+ 3- 13-	2+ 3- -2 -2  6 13-  2 -6
Curve Equation t Generators 7488bd1 [0,0,0,69,340] 2 [48:338:1] 7488bd2 [0,0,0,-516,3616] 2 [-19:81:1]
7488be (2 curves)	1	2+ 3- 13-	2+ 3-  4  0 -2 13- -2 -8
Curve Equation t Generators 7488be1 [0,0,0,-23448,-1298360] 2 [230:2340:1] 7488be2 [0,0,0,20292,-5584880] 2 [1440:54860:1]
7488bf (2 curves)	1	2+ 3- 13-	2+ 3- -4 -4 -2 13-  6 -4
Curve Equation t Generators 7488bf1 [0,0,0,168,-2680] 2 [22:108:1] 7488bf2 [0,0,0,-2172,-35440] 2 [-32:36:1]
7488bg (2 curves)	1	2- 3+ 13-	2- 3+  2  2 -4 13-  0 -6
Curve Equation t Generators 7488bg1 [0,0,0,-204,-2160] 2 [93:885:1] 7488bg2 [0,0,0,-4044,-98928] 2 [114:960:1]
7488bh (2 curves)	1	2- 3+ 13-	2- 3+  2 -2 -4 13-  0 -2
Curve Equation t Generators 7488bh1 [0,0,0,36,-80] 2 [5:15:1] 7488bh2 [0,0,0,-204,-752] 2 [-6:16:1]
7488bi (2 curves)	1	2- 3+ 13-	2- 3+ -2  2  4 13-  0 -6
Curve Equation t Generators 7488bi1 [0,0,0,-1836,58320] 2 [-27:297:1] 7488bi2 [0,0,0,-36396,2671056] 2 [106:64:1]
7488bj (2 curves)	1	2- 3+ 13-	2- 3+ -2 -2  4 13-  0 -2
Curve Equation t Generators 7488bj1 [0,0,0,324,2160] 2 [10:80:1] 7488bj2 [0,0,0,-1836,20304] 2 [-14:208:1]
7488bk (2 curves)	1	2- 3+ 13-	2- 3+  4 -4  4 13-  0  0
Curve Equation t Generators 7488bk1 [0,0,0,-6048,-184680] 2 [1390:51740:1] 7488bk2 [0,0,0,-97308,-11683440] 2 [175505:6397651:125]
7488bl (2 curves)	1	2- 3+ 13-	2- 3+ -4 -4 -4 13-  0  0
Curve Equation t Generators 7488bl1 [0,0,0,-672,6840] 2 [9:39:1] 7488bl2 [0,0,0,-10812,432720] 2 [48:156:1]
7488bm (2 curves)	1	2- 3- 13+	2- 3-  0  2  0 13+ -2  2
Curve Equation t Generators 7488bm1 [0,0,0,-75,-88] 2 [44:286:1] 7488bm2 [0,0,0,-660,6464] 2 [-20:108:1]
7488bn (2 curves)	1	2- 3- 13+	2- 3-  0  2  4 13+  6 -6
Curve Equation t Generators 7488bn1 [0,0,0,-2955,61792] 2 [-16:324:1] 7488bn2 [0,0,0,-3540,35584] 2 [128:1296:1]
7488bo (2 curves)	1	2- 3- 13+	2- 3-  0 -2  0 13+ -2 -2
Curve Equation t Generators 7488bo1 [0,0,0,-75,88] 2 [-4:18:1] 7488bo2 [0,0,0,-660,-6464] 2 [32:72:1]
7488bp (4 curves)	1	2- 3- 13+	2- 3-  0 -2  0 13+  6  2
Curve Equation t Generators 7488bp1 [0,0,0,-480,88] 2 [26:72:1] 7488bp2 [0,0,0,-5340,149776] 2 [5:351:1] 7488bp3 [0,0,0,-26400,-1651016] 2 [1106:36360:1] 7488bp4 [0,0,0,-26940,-1579952] 2 [-112:180:1]
7488bq (2 curves)	1	2- 3- 13+	2- 3-  0 -2 -4 13+  6  6
Curve Equation t Generators 7488bq1 [0,0,0,-2955,-61792] 2 [1268:45110:1] 7488bq2 [0,0,0,-3540,-35584] 2 [-11:45:1]
7488br (4 curves)	1	2- 3- 13+	2- 3-  2  0  0 13+ -2 -4
Curve Equation t Generators 7488br1 [0,0,0,-264,952] 2 [26:108:1] 7488br2 [0,0,0,-1884,-30800] 4 [53:135:1] 7488br3 [0,0,0,-29964,-1996400] 2 [1925:84105:1] 7488br4 [0,0,0,276,-97328] 2 [51888:2274740:27]
7488bs (4 curves)	1	2- 3- 13+	2- 3-  2  4 -4 13+ -2  0
Curve Equation t Generators 7488bs1 [0,0,0,276,-3760] 2 [13:45:1] 7488bs2 [0,0,0,-2604,-44080] 4 [205:2835:1] 7488bs3 [0,0,0,-40044,-3084208] 2 [87787:635445:343] 7488bs4 [0,0,0,-11244,415568] 2 [-86:864:1]
7488bt (4 curves)	1	2- 3- 13+	2- 3-  2 -4  4 13+ -2 -8
Curve Equation t Generators 7488bt1 [0,0,0,-11244,9580880] 2 [277:5265:1] 7488bt2 [0,0,0,-748524,246985040] 4 [-74320:2743884:125] 7488bt3 [0,0,0,-1347564,-204211888] 2 [-116519920:3310989604:166375] 7488bt4 [0,0,0,-11945964,15892048208] 2 [1754:18304:1]
7488bu (4 curves)	1	2- 3- 13+	2- 3- -2 -4  0 13+ -2  8
Curve Equation t Generators 7488bu1 [0,0,0,-1416,20504] 2 [25:27:1] 7488bu2 [0,0,0,-1596,14960] 4 [-38:144:1] 7488bu3 [0,0,0,-10956,-430576] 2 [-64:92:1] 7488bu4 [0,0,0,4884,105680] 2 [-11:225:1]
7488bv (3 curves)	1	2- 3- 13+	2- 3- -3  1 -6 13+  3  2
Curve Equation t Generators 7488bv1 [0,0,0,276,2896] 1 [-6:32:1] 7488bv2 [0,0,0,-2604,-101936] 1 [138:1472:1] 7488bv3 [0,0,0,-264684,-52413104] 1 [363570:19277312:125]
7488bw (2 curves)	1	2- 3- 13+	2- 3- -4  2  4 13+ -2 -2
Curve Equation t Generators 7488bw1 [0,0,0,-192,920] 2 [-2:36:1] 7488bw2 [0,0,0,-732,-6640] 2 [-11:9:1]
7488bx (2 curves)	0	2- 3- 13-	2- 3-  0  0 -6 13- -2  0
Curve Equation t 7488bx1 [0,0,0,-120,-1064] 2 7488bx2 [0,0,0,-2460,-46928] 2
7488by (2 curves)	0	2- 3- 13-	2- 3-  0  4  2 13-  6 -4
Curve Equation t 7488by1 [0,0,0,-120,-232] 2 7488by2 [0,0,0,420,-1744] 2
7488bz (2 curves)	0	2- 3- 13-	2- 3- -1 -1  2 13-  3  6
Curve Equation t 7488bz1 [0,0,0,-1548,35856] 1 7488bz2 [0,0,0,-122508,-18108144] 1
7488ca (1 curve)	0	2- 3- 13-	2- 3- -1 -5  2 13-  3 -2
Curve Equation t 7488ca1 [0,0,0,-588,-5744] 1
7488cb (2 curves)	0	2- 3- 13-	2- 3-  2  2  2 13- -6 -6
Curve Equation t 7488cb1 [0,0,0,-144,-648] 2 7488cb2 [0,0,0,36,-2160] 2
7488cc (2 curves)	0	2- 3- 13-	2- 3-  4  0  2 13- -2  8
Curve Equation t 7488cc1 [0,0,0,-23448,1298360] 2 7488cc2 [0,0,0,20292,5584880] 2
7488cd (2 curves)	0	2- 3- 13-	2- 3- -4  4  2 13-  6  4
Curve Equation t 7488cd1 [0,0,0,168,2680] 2 7488cd2 [0,0,0,-2172,35440] 2

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