Cremona's table of elliptic curves

13248 = 2⁶ · 3² · 23

Class	r	Atkin-Lehner	Eigenvalues
13248a (2 curves)	1	2+ 3+ 23+	2+ 3+ -2  2 -4  2  2  2
Curve Equation t Generators 13248a1 [0,0,0,-96,360] 2 [9:15:1] 13248a2 [0,0,0,-156,-144] 2 [-6:24:1]
13248b (2 curves)	0	2+ 3+ 23-	2+ 3+  2  2  4  2 -2  2
Curve Equation t 13248b1 [0,0,0,-864,-9720] 2 13248b2 [0,0,0,-1404,3888] 2
13248c (2 curves)	0	2+ 3- 23+	2+ 3-  0  2  4 -2  0 -2
Curve Equation t 13248c1 [0,0,0,-255,-956] 2 13248c2 [0,0,0,780,-6752] 2
13248d (2 curves)	0	2+ 3- 23+	2+ 3-  0 -2  0 -2 -8 -6
Curve Equation t 13248d1 [0,0,0,-104700,-13155824] 2 13248d2 [0,0,0,-1679340,-837637328] 2
13248e (1 curve)	0	2+ 3- 23+	2+ 3-  0 -2  0  5  6 -6
Curve Equation t 13248e1 [0,0,0,-1980,33912] 1
13248f (2 curves)	0	2+ 3- 23+	2+ 3-  0  4  6  2 -6  6
Curve Equation t 13248f1 [0,0,0,180,-1296] 2 13248f2 [0,0,0,-1260,-13392] 2
13248g (2 curves)	0	2+ 3- 23+	2+ 3-  2 -2  2  2  0  8
Curve Equation t 13248g1 [0,0,0,93516,-16765472] 2 13248g2 [0,0,0,-693804,-177693680] 2
13248h (4 curves)	0	2+ 3- 23+	2+ 3-  2 -4 -4  2  2  0
Curve Equation t 13248h1 [0,0,0,-7464,248200] 2 13248h2 [0,0,0,-7644,235600] 4 13248h3 [0,0,0,-27084,-1451792] 2 13248h4 [0,0,0,8916,1116592] 2
13248i (2 curves)	2	2+ 3- 23+	2+ 3- -2 -2 -2 -6  0 -4
Curve Equation t Generators 13248i1 [0,0,0,204,-416] 2 [5:27:1]&[6:32:1] 13248i2 [0,0,0,-876,-3440] 2 [-27:23:1]&[-22:72:1]
13248j (1 curve)	0	2+ 3- 23+	2+ 3- -2 -4  2  5 -4  2
Curve Equation t 13248j1 [0,0,0,-36,-216] 1
13248k (2 curves)	0	2+ 3- 23+	2+ 3-  4  2  0 -2  4  6
Curve Equation t 13248k1 [0,0,0,132,2320] 2 13248k2 [0,0,0,-2028,32560] 2
13248l (2 curves)	0	2+ 3- 23+	2+ 3-  4 -4  2  2  2  2
Curve Equation t 13248l1 [0,0,0,-5868,200880] 2 13248l2 [0,0,0,-98028,11813040] 2
13248m (1 curve)	0	2+ 3- 23+	2+ 3- -4  2 -4  5  2 -6
Curve Equation t 13248m1 [0,0,0,-12,-200] 1
13248n (2 curves)	1	2+ 3- 23-	2+ 3-  0  2  0  1  6 -2
Curve Equation t Generators 13248n1 [0,0,0,60,-88] 1 [39:35:27] 13248n2 [0,0,0,-660,7976] 1 [29:115:1]
13248o (4 curves)	1	2+ 3- 23-	2+ 3-  0  2  0 -2  0 -2
Curve Equation t Generators 13248o1 [0,0,0,-20460,-1177936] 2 [114830:3435264:125] 13248o2 [0,0,0,-331500,-73463632] 2 [42930440:-1048898052:42875] 13248o3 [0,0,0,109140,-2411728] 2 [472:12420:1] 13248o4 [0,0,0,-443820,-19442896] 2 [-619:4255:1]
13248p (2 curves)	1	2+ 3- 23-	2+ 3-  0 -2  4  6 -4 -2
Curve Equation t Generators 13248p1 [0,0,0,-300,9776] 2 [-8:108:1] 13248p2 [0,0,0,-8940,324272] 2 [29:299:1]
13248q (2 curves)	1	2+ 3- 23-	2+ 3-  0 -2 -4 -2  0  2
Curve Equation t Generators 13248q1 [0,0,0,-255,956] 2 [40:234:1] 13248q2 [0,0,0,780,6752] 2 [-2:72:1]
13248r (4 curves)	1	2+ 3- 23-	2+ 3-  2  0  0  2 -2  8
Curve Equation t Generators 13248r1 [0,0,0,1716,-26768] 2 [164:2160:1] 13248r2 [0,0,0,-9804,-252560] 4 [-4092:21505:64] 13248r3 [0,0,0,-142284,-20654480] 2 [-18422580:3555635:85184] 13248r4 [0,0,0,-61644,5698672] 2 [-204:3128:1]
13248s (2 curves)	1	2+ 3- 23-	2+ 3-  2  2 -2  2  0 -8
Curve Equation t Generators 13248s1 [0,0,0,93516,16765472] 2 [4:4140:1] 13248s2 [0,0,0,-693804,177693680] 2 [3742:223560:1]
13248t (2 curves)	1	2+ 3- 23-	2+ 3- -2  2  2 -6  0  4
Curve Equation t Generators 13248t1 [0,0,0,204,416] 2 [4:36:1] 13248t2 [0,0,0,-876,3440] 2 [-2:72:1]
13248u (2 curves)	1	2+ 3- 23-	2+ 3- -2  2 -2  2  4  0
Curve Equation t Generators 13248u1 [0,0,0,-2316,60784] 2 [-10:288:1] 13248u2 [0,0,0,-41196,3217840] 2 [93:437:1]
13248v (2 curves)	1	2+ 3- 23-	2+ 3- -2 -2 -6  2  0  0
Curve Equation t Generators 13248v1 [0,0,0,-876,-21584] 2 [56:324:1] 13248v2 [0,0,0,-18156,-940880] 2 [248:3132:1]
13248w (4 curves)	1	2+ 3- 23-	2+ 3- -2 -4  0  2  2  4
Curve Equation t Generators 13248w1 [0,0,0,-156,-7216] 2 [46:288:1] 13248w2 [0,0,0,-6636,-206800] 4 [100:360:1] 13248w3 [0,0,0,-105996,-13282576] 2 [3412:198360:1] 13248w4 [0,0,0,-10956,95600] 4 [-107:207:1]
13248x (1 curve)	1	2+ 3- 23-	2+ 3- -2 -4 -2 -7  4  6
Curve Equation t Generators 13248x1 [0,0,0,-156,-776] 1 [69:563:1]
13248y (2 curves)	0	2- 3+ 23+	2- 3+  2 -2 -4  2 -2 -2
Curve Equation t 13248y1 [0,0,0,-864,9720] 2 13248y2 [0,0,0,-1404,-3888] 2
13248z (2 curves)	1	2- 3+ 23-	2- 3+ -2 -2  4  2  2 -2
Curve Equation t Generators 13248z1 [0,0,0,-96,-360] 2 [42:264:1] 13248z2 [0,0,0,-156,144] 2 [-11:23:1]
13248ba (2 curves)	1	2- 3- 23+	2- 3-  0  0 -2  2  6  2
Curve Equation t Generators 13248ba1 [0,0,0,60,3584] 2 [10:72:1] 13248ba2 [0,0,0,-3180,67088] 2 [-64:92:1]
13248bb (2 curves)	1	2- 3- 23+	2- 3-  0  2 -4  6 -4  2
Curve Equation t Generators 13248bb1 [0,0,0,-300,-9776] 2 [53:351:1] 13248bb2 [0,0,0,-8940,-324272] 2 [-54:32:1]
13248bc (2 curves)	1	2- 3- 23+	2- 3-  0 -2  0  1  6  2
Curve Equation t Generators 13248bc1 [0,0,0,60,88] 1 [21:103:1] 13248bc2 [0,0,0,-660,-7976] 1 [212439:246685:6859]
13248bd (4 curves)	1	2- 3- 23+	2- 3-  0 -2  0 -2  0  2
Curve Equation t Generators 13248bd1 [0,0,0,-20460,1177936] 2 [77:243:1] 13248bd2 [0,0,0,-331500,73463632] 2 [314:576:1] 13248bd3 [0,0,0,109140,2411728] 2 [653:18765:1] 13248bd4 [0,0,0,-443820,19442896] 2 [-406:11520:1]
13248be (4 curves)	1	2- 3- 23+	2- 3-  2  0  0  2 -2 -8
Curve Equation t Generators 13248be1 [0,0,0,1716,26768] 2 [-11:81:1] 13248be2 [0,0,0,-9804,252560] 4 [757:20655:1] 13248be3 [0,0,0,-61644,-5698672] 2 [96545:2523123:125] 13248be4 [0,0,0,-142284,20654480] 2 [370:4320:1]
13248bf (2 curves)	1	2- 3- 23+	2- 3- -2  2  6  2  0  0
Curve Equation t Generators 13248bf1 [0,0,0,-876,21584] 2 [16:108:1] 13248bf2 [0,0,0,-18156,940880] 2 [58:288:1]
13248bg (2 curves)	1	2- 3- 23+	2- 3- -2 -2  2  2  4  0
Curve Equation t Generators 13248bg1 [0,0,0,-2316,-60784] 2 [74:416:1] 13248bg2 [0,0,0,-41196,-3217840] 2 [-118:16:1]
13248bh (4 curves)	1	2- 3- 23+	2- 3- -2  4  0  2  2 -4
Curve Equation t Generators 13248bh1 [0,0,0,-156,7216] 2 [5:81:1] 13248bh2 [0,0,0,-6636,206800] 4 [-48:644:1] 13248bh3 [0,0,0,-10956,-95600] 2 [341:5985:1] 13248bh4 [0,0,0,-105996,13282576] 4 [384:5404:1]
13248bi (1 curve)	1	2- 3- 23+	2- 3- -2  4  2 -7  4 -6
Curve Equation t Generators 13248bi1 [0,0,0,-156,776] 1 [5:11:1]
13248bj (2 curves)	1	2- 3- 23+	2- 3-  4 -4  6 -6  2 -2
Curve Equation t Generators 13248bj1 [0,0,0,-1668,-41600] 2 [125:1305:1] 13248bj2 [0,0,0,-30828,-2082800] 2 [25345:6003:125]
13248bk (2 curves)	0	2- 3- 23-	2- 3-  0  0  2  2  6 -2
Curve Equation t 13248bk1 [0,0,0,60,-3584] 2 13248bk2 [0,0,0,-3180,-67088] 2
13248bl (2 curves)	0	2- 3- 23-	2- 3-  0  2  0 -2 -8  6
Curve Equation t 13248bl1 [0,0,0,-104700,13155824] 2 13248bl2 [0,0,0,-1679340,837637328] 2
13248bm (1 curve)	0	2- 3- 23-	2- 3-  0  2  0  5  6  6
Curve Equation t 13248bm1 [0,0,0,-1980,-33912] 1
13248bn (2 curves)	2	2- 3- 23-	2- 3-  0 -4 -6  2 -6 -6
Curve Equation t Generators 13248bn1 [0,0,0,180,1296] 2 [-3:27:1]&[0:36:1] 13248bn2 [0,0,0,-1260,13392] 2 [-38:80:1]&[-11:161:1]
13248bo (4 curves)	0	2- 3- 23-	2- 3-  2  4  4  2  2  0
Curve Equation t 13248bo1 [0,0,0,-7464,-248200] 2 13248bo2 [0,0,0,-7644,-235600] 4 13248bo3 [0,0,0,-27084,1451792] 2 13248bo4 [0,0,0,8916,-1116592] 2
13248bp (1 curve)	0	2- 3- 23-	2- 3- -2  4 -2  5 -4 -2
Curve Equation t 13248bp1 [0,0,0,-36,216] 1
13248bq (2 curves)	0	2- 3- 23-	2- 3-  4 -2  0 -2  4 -6
Curve Equation t 13248bq1 [0,0,0,132,-2320] 2 13248bq2 [0,0,0,-2028,-32560] 2
13248br (2 curves)	0	2- 3- 23-	2- 3-  4  4 -2  2  2 -2
Curve Equation t 13248br1 [0,0,0,-5868,-200880] 2 13248br2 [0,0,0,-98028,-11813040] 2
13248bs (2 curves)	0	2- 3- 23-	2- 3-  4  4 -6 -6  2  2
Curve Equation t 13248bs1 [0,0,0,-1668,41600] 2 13248bs2 [0,0,0,-30828,2082800] 2
13248bt (1 curve)	0	2- 3- 23-	2- 3- -4 -2  4  5  2  6
Curve Equation t 13248bt1 [0,0,0,-12,200] 1

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