Cremona's table of elliptic curves

86112 = 2⁵ · 3² · 13 · 23

Class	r	Atkin-Lehner	Eigenvalues
86112a (2 curves)	0	2+ 3+ 13- 23+	2+ 3+  2 -2  4 13- -2 -2
Curve Equation t 86112a1 [0,0,0,-2349,2160] 2 86112a2 [0,0,0,-25164,-1531008] 2
86112b (2 curves)	2	2+ 3+ 13- 23+	2+ 3+ -2 -2 -4 13- -2  6
Curve Equation t Generators 86112b1 [0,0,0,-139941,20149560] 2 [217:26:1]&[5508:407862:1] 86112b2 [0,0,0,-140076,20108736] 2 [-224:6344:1]&[54:3564:1]
86112c (2 curves)	0	2+ 3+ 13- 23+	2+ 3+  4 -4  4 13- -2 -8
Curve Equation t 86112c1 [0,0,0,-10773,-430380] 2 86112c2 [0,0,0,-10908,-419040] 2
86112d (2 curves)	0	2+ 3+ 13- 23+	2+ 3+ -4  4  4 13-  2  8
Curve Equation t 86112d1 [0,0,0,-1197,-15940] 2 86112d2 [0,0,0,-1212,-15520] 2
86112e (2 curves)	1	2+ 3+ 13- 23-	2+ 3+  2  2 -4 13- -2  2
Curve Equation t Generators 86112e1 [0,0,0,-2349,-2160] 2 [60:270:1] 86112e2 [0,0,0,-25164,1531008] 2 [4:1196:1]
86112f (2 curves)	1	2+ 3+ 13- 23-	2+ 3+ -2  2  4 13- -2 -6
Curve Equation t Generators 86112f1 [0,0,0,-139941,-20149560] 2 [459:3510:1] 86112f2 [0,0,0,-140076,-20108736] 2 [-218:260:1]
86112g (2 curves)	2	2+ 3- 13+ 23+	2+ 3- -2 -4 -2 13+ -4  8
Curve Equation t Generators 86112g1 [0,0,0,159,-1784] 2 [11:36:1]&[21:104:1] 86112g2 [0,0,0,-1596,-21440] 2 [-28:36:1]&[-19:45:1]
86112h (2 curves)	1	2+ 3- 13+ 23-	2+ 3-  0 -2  0 13+  4  6
Curve Equation t Generators 86112h1 [0,0,0,-1245,-30404] 2 [2072:94302:1] 86112h2 [0,0,0,-24060,-1435808] 2 [-91:9:1]
86112i (2 curves)	1	2+ 3- 13+ 23-	2+ 3-  0  4 -4 13+  6  0
Curve Equation t Generators 86112i1 [0,0,0,-225,972] 2 [-11:46:1] 86112i2 [0,0,0,-1260,-16416] 2 [-20:28:1]
86112j (2 curves)	1	2+ 3- 13+ 23-	2+ 3- -2  4  2 13+ -4 -8
Curve Equation t Generators 86112j1 [0,0,0,159,1784] 2 [5:52:1] 86112j2 [0,0,0,-1596,21440] 2 [32:56:1]
86112k (2 curves)	1	2+ 3- 13+ 23-	2+ 3- -4  2  0 13+  8 -6
Curve Equation t Generators 86112k1 [0,0,0,22803,47057020] 2 [1688:69966:1] 86112k2 [0,0,0,-1825212,926712160] 2 [-907:42849:1]
86112l (1 curve)	1	2+ 3- 13- 23+	2+ 3- -1  4 -5 13- -4  5
Curve Equation t Generators 86112l1 [0,0,0,-148008,28040816] 1 [1277980:36960644:1331]
86112m (2 curves)	1	2+ 3- 13- 23+	2+ 3-  2 -2 -2 13- -4 -4
Curve Equation t Generators 86112m1 [0,0,0,-27309,1751852] 2 [121:468:1] 86112m2 [0,0,0,-437979,111565010] 2 [290:2990:1]
86112n (2 curves)	0	2+ 3- 13- 23-	2+ 3-  0  4  0 13- -8  2
Curve Equation t 86112n1 [0,0,0,-165,-2108] 2 86112n2 [0,0,0,-3675,-85646] 2
86112o (4 curves)	2	2+ 3- 13- 23-	2+ 3- -2  0  4 13- -6 -4
Curve Equation t Generators 86112o1 [0,0,0,-1821,-28420] 4 [-23:36:1]&[412:8316:1] 86112o2 [0,0,0,1284,-115360] 2 [92:884:1]&[184:2520:1] 86112o3 [0,0,0,-5331,114086] 4 [-34:506:1]&[94:666:1] 86112o4 [0,0,0,-28731,-1874446] 2 [226:1782:1]&[13666:561935:8]
86112p (1 curve)	0	2+ 3- 13- 23-	2+ 3-  3  4  1 13-  0  7
Curve Equation t 86112p1 [0,0,0,-2856,61648] 1
86112q (1 curve)	0	2+ 3- 13- 23-	2+ 3-  3 -5 -2 13- -3  4
Curve Equation t 86112q1 [0,0,0,-88851,-10193978] 1
86112r (2 curves)	1	2- 3+ 13- 23+	2- 3+  2  2 -4 13-  2 -6
Curve Equation t Generators 86112r1 [0,0,0,-15549,746280] 2 [120:780:1] 86112r2 [0,0,0,-15564,744768] 2 [64:104:1]
86112s (2 curves)	1	2- 3+ 13- 23+	2- 3+ -2  2  4 13-  2  2
Curve Equation t Generators 86112s1 [0,0,0,-261,80] 2 [29:130:1] 86112s2 [0,0,0,-2796,-56704] 2 [68:260:1]
86112t (2 curves)	0	2- 3+ 13- 23-	2- 3+  2 -2  4 13-  2  6
Curve Equation t 86112t1 [0,0,0,-15549,-746280] 2 86112t2 [0,0,0,-15564,-744768] 2
86112u (2 curves)	2	2- 3+ 13- 23-	2- 3+ -2 -2 -4 13-  2 -2
Curve Equation t Generators 86112u1 [0,0,0,-261,-80] 2 [23:78:1]&[32:156:1] 86112u2 [0,0,0,-2796,56704] 2 [-60:92:1]&[-16:312:1]
86112v (2 curves)	0	2- 3+ 13- 23-	2- 3+  4  4 -4 13- -2  8
Curve Equation t 86112v1 [0,0,0,-10773,430380] 2 86112v2 [0,0,0,-10908,419040] 2
86112w (2 curves)	2	2- 3+ 13- 23-	2- 3+ -4 -4 -4 13-  2 -8
Curve Equation t Generators 86112w1 [0,0,0,-1197,15940] 2 [21:8:1]&[32:102:1] 86112w2 [0,0,0,-1212,15520] 2 [38:156:1]&[-27:169:1]
86112x (2 curves)	1	2- 3- 13+ 23+	2- 3-  0  2  0 13+  4 -6
Curve Equation t Generators 86112x1 [0,0,0,-1245,30404] 2 [-17:216:1] 86112x2 [0,0,0,-24060,1435808] 2 [86:52:1]
86112y (2 curves)	1	2- 3- 13+ 23+	2- 3-  0 -4  4 13+  6  0
Curve Equation t Generators 86112y1 [0,0,0,-225,-972] 2 [-9:18:1] 86112y2 [0,0,0,-1260,16416] 2 [37:143:1]
86112z (2 curves)	1	2- 3- 13+ 23+	2- 3- -2  0  2 13+  4 -4
Curve Equation t Generators 86112z1 [0,0,0,-9201,374416] 2 [44:234:1] 86112z2 [0,0,0,-151356,22664320] 2 [212:324:1]
86112ba (2 curves)	1	2- 3- 13+ 23+	2- 3- -4 -2  0 13+  8  6
Curve Equation t Generators 86112ba1 [0,0,0,22803,-47057020] 2 [316547:9455888:343] 86112ba2 [0,0,0,-1825212,-926712160] 2 [-778:4732:1]
86112bb (2 curves)	0	2- 3- 13+ 23-	2- 3- -2  0 -2 13+  4  4
Curve Equation t 86112bb1 [0,0,0,-9201,-374416] 2 86112bb2 [0,0,0,-151356,-22664320] 2
86112bc (2 curves)	2	2- 3- 13- 23+	2- 3-  0 -4  0 13- -8 -2
Curve Equation t Generators 86112bc1 [0,0,0,-165,2108] 2 [-8:54:1]&[-4:52:1] 86112bc2 [0,0,0,-3675,85646] 2 [-58:322:1]&[-35:414:1]
86112bd (2 curves)	0	2- 3- 13- 23+	2- 3-  0 -4  2 13-  6  6
Curve Equation t 86112bd1 [0,0,0,27375,-27376] 2 86112bd2 [0,0,0,-109515,-219022] 2
86112be (1 curve)	0	2- 3- 13- 23+	2- 3-  1 -4  1 13- -4 -1
Curve Equation t 86112be1 [0,0,0,168,-1168] 1
86112bf (2 curves)	0	2- 3- 13- 23+	2- 3-  2  2 -4 13-  2  0
Curve Equation t 86112bf1 [0,0,0,-9,-648] 2 86112bf2 [0,0,0,-1179,-15390] 2
86112bg (4 curves)	2	2- 3- 13- 23+	2- 3- -2  0 -4 13- -6  4
Curve Equation t Generators 86112bg1 [0,0,0,-1821,28420] 4 [-3:184:1]&[32:54:1] 86112bg2 [0,0,0,1284,115360] 4 [-34:180:1]&[-27:247:1] 86112bg3 [0,0,0,-5331,-114086] 2 [86:252:1]&[266:4158:1] 86112bg4 [0,0,0,-28731,1874446] 2 [101:54:1]&[114:284:1]
86112bh (1 curve)	0	2- 3- 13- 23+	2- 3-  3 -4 -1 13-  0 -7
Curve Equation t 86112bh1 [0,0,0,-2856,-61648] 1
86112bi (1 curve)	0	2- 3- 13- 23+	2- 3-  3  5  2 13- -3 -4
Curve Equation t 86112bi1 [0,0,0,-88851,10193978] 1
86112bj (2 curves)	0	2- 3- 13- 23+	2- 3- -4  2  0 13-  6  6
Curve Equation t 86112bj1 [0,0,0,-4917,-118640] 2 86112bj2 [0,0,0,-76332,-8117120] 2
86112bk (2 curves)	0	2- 3- 13- 23+	2- 3- -4 -4  6 13-  6 -6
Curve Equation t 86112bk1 [0,0,0,-59875617,178330162480] 2 86112bk2 [0,0,0,-958010907,11413104505090] 2
86112bl (2 curves)	1	2- 3- 13- 23-	2- 3-  0  4 -2 13-  6 -6
Curve Equation t Generators 86112bl1 [0,0,0,27375,27376] 2 [12:598:1] 86112bl2 [0,0,0,-109515,219022] 2 [2118:96278:1]
86112bm (1 curve)	1	2- 3- 13- 23-	2- 3-  1  4 -1 13- -4  1
Curve Equation t Generators 86112bm1 [0,0,0,168,1168] 1 [48:1036:27]
86112bn (1 curve)	1	2- 3- 13- 23-	2- 3- -1 -4  5 13- -4 -5
Curve Equation t Generators 86112bn1 [0,0,0,-148008,-28040816] 1 [17760:340676:27]
86112bo (2 curves)	1	2- 3- 13- 23-	2- 3-  2  2  2 13- -4  4
Curve Equation t Generators 86112bo1 [0,0,0,-27309,-1751852] 2 [7068:81172:27] 86112bo2 [0,0,0,-437979,-111565010] 2 [13171242:-428646140:9261]
86112bp (2 curves)	1	2- 3- 13- 23-	2- 3-  2 -2  4 13-  2  0
Curve Equation t Generators 86112bp1 [0,0,0,-9,648] 2 [4:26:1] 86112bp2 [0,0,0,-1179,15390] 2 [22:10:1]
86112bq (2 curves)	1	2- 3- 13- 23-	2- 3- -4 -2  0 13-  6 -6
Curve Equation t Generators 86112bq1 [0,0,0,-4917,118640] 2 [-11:414:1] 86112bq2 [0,0,0,-76332,8117120] 2 [173:299:1]
86112br (2 curves)	1	2- 3- 13- 23-	2- 3- -4  4 -6 13-  6  6
Curve Equation t Generators 86112br1 [0,0,0,-59875617,-178330162480] 2 [19602520897636564:7830842243070494882:122541299063] 86112br2 [0,0,0,-958010907,-11413104505090] 2 [3030388481448994303796777715304514:1192186995512448870103658951965403446:18804070683526211130515210371]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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