Cremona's table of elliptic curves

35136 = 2⁶ · 3² · 61

Class	r	Atkin-Lehner	Eigenvalues
35136a (2 curves)	1	2+ 3+ 61+	2+ 3+  0  0  2  2  2  4
Curve Equation t Generators 35136a1 [0,0,0,-240,1512] 2 [9:9:1] 35136a2 [0,0,0,-3900,93744] 2 [-72:36:1]
35136b (2 curves)	1	2+ 3+ 61+	2+ 3+  0  0 -2  2 -2  4
Curve Equation t Generators 35136b1 [0,0,0,-2160,-40824] 2 [122067:971217:1331] 35136b2 [0,0,0,-35100,-2531088] 2 [779034971:-7751078119:2924207]
35136c (1 curve)	1	2+ 3+ 61+	2+ 3+  3  0  2  2 -1 -2
Curve Equation t Generators 35136c1 [0,0,0,2004,29232] 1 [438:9216:1]
35136d (1 curve)	1	2+ 3+ 61+	2+ 3+ -3  0 -2  2  1 -2
Curve Equation t Generators 35136d1 [0,0,0,18036,-789264] 1 [360:7236:1]
35136e (2 curves)	0	2+ 3+ 61-	2+ 3+  0 -2  4  2  2  4
Curve Equation t 35136e1 [0,0,0,180,368] 2 35136e2 [0,0,0,-780,3056] 2
35136f (2 curves)	0	2+ 3+ 61-	2+ 3+  0 -2 -4  2 -2  4
Curve Equation t 35136f1 [0,0,0,1620,-9936] 2 35136f2 [0,0,0,-7020,-82512] 2
35136g (1 curve)	0	2+ 3+ 61-	2+ 3+  1  4 -6  6  3  6
Curve Equation t 35136g1 [0,0,0,-492,-4432] 1
35136h (1 curve)	0	2+ 3+ 61-	2+ 3+ -1  4  6  6 -3  6
Curve Equation t 35136h1 [0,0,0,-4428,119664] 1
35136i (1 curve)	0	2+ 3- 61+	2+ 3-  1  1 -1  5 -2  0
Curve Equation t 35136i1 [0,0,0,-118092,15619952] 1
35136j (2 curves)	0	2+ 3- 61+	2+ 3-  1 -2  2 -4  7  0
Curve Equation t 35136j1 [0,0,0,-2892,-461968] 1 35136j2 [0,0,0,-296652,78162032] 1
35136k (1 curve)	0	2+ 3- 61+	2+ 3-  1  3 -3  5  6  8
Curve Equation t 35136k1 [0,0,0,-12,7792] 1
35136l (1 curve)	0	2+ 3- 61+	2+ 3-  1 -3 -5  1 -2  4
Curve Equation t 35136l1 [0,0,0,59028,-1340368] 1
35136m (1 curve)	0	2+ 3- 61+	2+ 3-  1 -5  5 -1  6  2
Curve Equation t 35136m1 [0,0,0,-3612,-84368] 1
35136n (4 curves)	0	2+ 3- 61+	2+ 3- -2  0  0  2 -6 -4
Curve Equation t 35136n1 [0,0,0,-41736,-4072376] 2 35136n2 [0,0,0,-711516,-230993840] 4 35136n3 [0,0,0,-755436,-200864720] 2 35136n4 [0,0,0,-11384076,-14784096656] 2
35136o (2 curves)	0	2+ 3- 61+	2+ 3- -2  0 -2 -2  4  4
Curve Equation t 35136o1 [0,0,0,-696,-7000] 2 35136o2 [0,0,0,-156,-17584] 2
35136p (2 curves)	0	2+ 3- 61+	2+ 3- -2  4 -2 -2 -4  4
Curve Equation t 35136p1 [0,0,0,2184,-4376] 2 35136p2 [0,0,0,-8796,-35120] 2
35136q (4 curves)	0	2+ 3- 61+	2+ 3- -2  4 -4  2 -6 -4
Curve Equation t 35136q1 [0,0,0,-876,144304] 2 35136q2 [0,0,0,-46956,3886000] 4 35136q3 [0,0,0,-81516,-2597456] 2 35136q4 [0,0,0,-749676,249838000] 2
35136r (2 curves)	0	2+ 3- 61+	2+ 3- -3 -1 -3  1  6  4
Curve Equation t 35136r1 [0,0,0,-2604,-285136] 1 35136r2 [0,0,0,23316,7480496] 1
35136s (1 curve)	2	2+ 3- 61+	2+ 3- -3 -3 -1 -1  2 -2
Curve Equation t Generators 35136s1 [0,0,0,36,-1296] 1 [10:8:1]&[18:-72:1]
35136t (1 curve)	0	2+ 3- 61+	2+ 3- -3 -3 -1  5 -2  8
Curve Equation t 35136t1 [0,0,0,-18444,-1085456] 1
35136u (1 curve)	1	2+ 3- 61-	2+ 3-  1 -2  6  0 -3  0
Curve Equation t Generators 35136u1 [0,0,0,-525612,147968048] 1 [51230:-147456:125]
35136v (1 curve)	1	2+ 3- 61-	2+ 3-  1 -5 -3  3  0  0
Curve Equation t Generators 35136v1 [0,0,0,1428,-592] 1 [4:72:1]
35136w (1 curve)	1	2+ 3- 61-	2+ 3- -1  2  2 -4 -1 -4
Curve Equation t Generators 35136w1 [0,0,0,-4087308,3181429744] 1 [3560:183708:1]
35136x (2 curves)	1	2+ 3- 61-	2+ 3-  2  2  2  2  2 -4
Curve Equation t Generators 35136x1 [0,0,0,-624,-5240] 2 [137:1575:1] 35136x2 [0,0,0,996,-27920] 2 [46235:548325:343]
35136y (2 curves)	1	2+ 3- 61-	2+ 3- -2 -2  0  6  0  0
Curve Equation t Generators 35136y1 [0,0,0,-1056,-9880] 2 [-22:52:1] 35136y2 [0,0,0,-5916,167024] 2 [-70:488:1]
35136z (1 curve)	1	2+ 3- 61-	2+ 3-  3  2 -6 -4 -5 -4
Curve Equation t Generators 35136z1 [0,0,0,564,-3728] 1 [8:36:1]
35136ba (1 curve)	1	2+ 3- 61-	2+ 3- -3  1  3  7  4 -4
Curve Equation t Generators 35136ba1 [0,0,0,-39,124] 1 [8:18:1]
35136bb (1 curve)	1	2+ 3- 61-	2+ 3- -3  1 -5 -1 -4  4
Curve Equation t Generators 35136bb1 [0,0,0,-1164,-16144] 1 [40:36:1]
35136bc (1 curve)	1	2+ 3- 61-	2+ 3- -3 -1 -3  7  4  4
Curve Equation t Generators 35136bc1 [0,0,0,-39,-124] 1 [28:144:1]
35136bd (2 curves)	0	2- 3+ 61+	2- 3+  0  0  2  2 -2 -4
Curve Equation t 35136bd1 [0,0,0,-2160,40824] 2 35136bd2 [0,0,0,-35100,2531088] 2
35136be (2 curves)	0	2- 3+ 61+	2- 3+  0  0 -2  2  2 -4
Curve Equation t 35136be1 [0,0,0,-240,-1512] 2 35136be2 [0,0,0,-3900,-93744] 2
35136bf (1 curve)	0	2- 3+ 61+	2- 3+  1  0  6  6  1  6
Curve Equation t 35136bf1 [0,0,0,-14412,666288] 1
35136bg (1 curve)	0	2- 3+ 61+	2- 3+  1  0 -6  6  1 -6
Curve Equation t 35136bg1 [0,0,0,-14412,-666288] 1
35136bh (1 curve)	0	2- 3+ 61+	2- 3+ -1  0  6  6 -1 -6
Curve Equation t 35136bh1 [0,0,0,-129708,17989776] 1
35136bi (1 curve)	0	2- 3+ 61+	2- 3+ -1  0 -6  6 -1  6
Curve Equation t 35136bi1 [0,0,0,-129708,-17989776] 1
35136bj (1 curve)	0	2- 3+ 61+	2- 3+  3  0 -2  2 -1  2
Curve Equation t 35136bj1 [0,0,0,2004,-29232] 1
35136bk (1 curve)	0	2- 3+ 61+	2- 3+ -3  0  2  2  1  2
Curve Equation t 35136bk1 [0,0,0,18036,789264] 1
35136bl (2 curves)	1	2- 3+ 61-	2- 3+  0  2  4  2 -2 -4
Curve Equation t Generators 35136bl1 [0,0,0,1620,9936] 2 [1317:47817:1] 35136bl2 [0,0,0,-7020,82512] 2 [-86:224:1]
35136bm (2 curves)	1	2- 3+ 61-	2- 3+  0  2 -4  2  2 -4
Curve Equation t Generators 35136bm1 [0,0,0,180,-368] 2 [29:171:1] 35136bm2 [0,0,0,-780,-3056] 2 [50:288:1]
35136bn (1 curve)	1	2- 3+ 61-	2- 3+  1 -4  6  6  3 -6
Curve Equation t Generators 35136bn1 [0,0,0,-492,4432] 1 [26:96:1]
35136bo (1 curve)	1	2- 3+ 61-	2- 3+ -1 -4 -6  6 -3 -6
Curve Equation t Generators 35136bo1 [0,0,0,-4428,-119664] 1 [156:1728:1]
35136bp (1 curve)	1	2- 3- 61+	2- 3-  1 -1  1  5 -2  0
Curve Equation t Generators 35136bp1 [0,0,0,-118092,-15619952] 1 [11046:57536:27]
35136bq (2 curves)	1	2- 3- 61+	2- 3-  1  2 -2 -4  7  0
Curve Equation t Generators 35136bq1 [0,0,0,-2892,461968] 1 [44:648:1] 35136bq2 [0,0,0,-296652,-78162032] 1 [117820:2737512:125]
35136br (1 curve)	1	2- 3- 61+	2- 3-  1  3 -3  3 -2  6
Curve Equation t Generators 35136br1 [0,0,0,-747,-9288] 1 [73164:115578:2197]
35136bs (1 curve)	1	2- 3- 61+	2- 3-  1  3  5  1 -2 -4
Curve Equation t Generators 35136bs1 [0,0,0,59028,1340368] 1 [18:1552:1]
35136bt (1 curve)	1	2- 3- 61+	2- 3-  1 -3  3  3 -2 -6
Curve Equation t Generators 35136bt1 [0,0,0,-747,9288] 1 [24:72:1]
35136bu (1 curve)	1	2- 3- 61+	2- 3-  1 -3  3  5  6 -8
Curve Equation t Generators 35136bu1 [0,0,0,-12,-7792] 1 [58:432:1]
35136bv (1 curve)	1	2- 3- 61+	2- 3-  1  5 -5 -1  6 -2
Curve Equation t Generators 35136bv1 [0,0,0,-3612,84368] 1 [28:72:1]
35136bw (4 curves)	1	2- 3- 61+	2- 3- -2  0  0  2 -6  4
Curve Equation t Generators 35136bw1 [0,0,0,-41736,4072376] 2 [121:891:1] 35136bw2 [0,0,0,-711516,230993840] 4 [-968:3564:1] 35136bw3 [0,0,0,-755436,200864720] 2 [-710064:-2587420:729] 35136bw4 [0,0,0,-11384076,14784096656] 2 [1890142551:59291:970299]
35136bx (2 curves)	1	2- 3- 61+	2- 3- -2  0  2 -2  4 -4
Curve Equation t Generators 35136bx1 [0,0,0,-696,7000] 2 [-22:108:1] 35136bx2 [0,0,0,-156,17584] 2 [-19:117:1]
35136by (2 curves)	1	2- 3- 61+	2- 3- -2 -4  2 -2 -4 -4
Curve Equation t Generators 35136by1 [0,0,0,2184,4376] 2 [1:81:1] 35136by2 [0,0,0,-8796,35120] 2 [-8:324:1]
35136bz (4 curves)	1	2- 3- 61+	2- 3- -2 -4  4  2 -6  4
Curve Equation t Generators 35136bz1 [0,0,0,-876,-144304] 2 [61:171:1] 35136bz2 [0,0,0,-46956,-3886000] 4 [3133:174933:1] 35136bz3 [0,0,0,-81516,2597456] 2 [26:704:1] 35136bz4 [0,0,0,-749676,-249838000] 2 [-4563861104:-37526740:9129329]
35136ca (1 curve)	1	2- 3- 61+	2- 3-  3  2  2  4 -3 -8
Curve Equation t Generators 35136ca1 [0,0,0,-876,-13808] 1 [128:1404:1]
35136cb (1 curve)	1	2- 3- 61+	2- 3-  3 -2 -2  4 -3  8
Curve Equation t Generators 35136cb1 [0,0,0,-876,13808] 1 [22:72:1]
35136cc (2 curves)	1	2- 3- 61+	2- 3- -3  1  3  1  6 -4
Curve Equation t Generators 35136cc1 [0,0,0,-2604,285136] 1 [-22:576:1] 35136cc2 [0,0,0,23316,-7480496] 1 [2138:99072:1]
35136cd (1 curve)	1	2- 3- 61+	2- 3- -3  1 -5 -5 -6  2
Curve Equation t Generators 35136cd1 [0,0,0,-58899,-5502184] 1 [118408:40744656:1]
35136ce (1 curve)	1	2- 3- 61+	2- 3- -3 -1  5 -5 -6 -2
Curve Equation t Generators 35136ce1 [0,0,0,-58899,5502184] 1 [140:18:1]
35136cf (1 curve)	1	2- 3- 61+	2- 3- -3  3  1 -1  2  2
Curve Equation t Generators 35136cf1 [0,0,0,36,1296] 1 [0:36:1]
35136cg (1 curve)	1	2- 3- 61+	2- 3- -3  3  1  3  2  6
Curve Equation t Generators 35136cg1 [0,0,0,141,344] 1 [28:162:1]
35136ch (1 curve)	1	2- 3- 61+	2- 3- -3  3  1  5 -2 -8
Curve Equation t Generators 35136ch1 [0,0,0,-18444,1085456] 1 [2:1024:1]
35136ci (1 curve)	1	2- 3- 61+	2- 3- -3 -3 -1  3  2 -6
Curve Equation t Generators 35136ci1 [0,0,0,141,-344] 1 [8:36:1]
35136cj (1 curve)	0	2- 3- 61-	2- 3-  1  2 -6  0 -3  0
Curve Equation t 35136cj1 [0,0,0,-525612,-147968048] 1
35136ck (1 curve)	0	2- 3- 61-	2- 3-  1  5  3  3  0  0
Curve Equation t 35136ck1 [0,0,0,1428,592] 1
35136cl (1 curve)	0	2- 3- 61-	2- 3- -1 -2 -2 -4 -1  4
Curve Equation t 35136cl1 [0,0,0,-4087308,-3181429744] 1
35136cm (2 curves)	0	2- 3- 61-	2- 3-  2  2 -4 -2 -4 -8
Curve Equation t 35136cm1 [0,0,0,-219,-592] 2 35136cm2 [0,0,0,-2964,-62080] 2
35136cn (2 curves)	0	2- 3- 61-	2- 3-  2 -2 -2  2  2  4
Curve Equation t 35136cn1 [0,0,0,-624,5240] 2 35136cn2 [0,0,0,996,27920] 2
35136co (2 curves)	0	2- 3- 61-	2- 3-  2 -2  4 -2 -4  8
Curve Equation t 35136co1 [0,0,0,-219,592] 2 35136co2 [0,0,0,-2964,62080] 2
35136cp (2 curves)	0	2- 3- 61-	2- 3- -2  2  0  6  0  0
Curve Equation t 35136cp1 [0,0,0,-1056,9880] 2 35136cp2 [0,0,0,-5916,-167024] 2
35136cq (1 curve)	0	2- 3- 61-	2- 3-  3 -2  6 -4 -5  4
Curve Equation t 35136cq1 [0,0,0,564,3728] 1
35136cr (1 curve)	2	2- 3- 61-	2- 3- -3 -1  5 -1 -4 -4
Curve Equation t Generators 35136cr1 [0,0,0,-1164,16144] 1 [18:-32:1]&[-4:144:1]

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