Cremona's table of elliptic curves

67155 = 3 · 5 · 11² · 37

Class	r	Atkin-Lehner	Eigenvalues
67155a (4 curves)	1	3+ 5+ 11- 37-	1 3+ 5+  0 11-  6 -2 -8
Curve Equation t Generators 67155a1 [1,1,0,-107208,-4947213] 2 [-12076:193813:64] 67155a2 [1,1,0,-935453,344406528] 4 [40212:12457898:729] 67155a3 [1,1,0,-196748,874648977] 2 [53844896646:-4184997195149:142236648] 67155a4 [1,1,0,-14926078,22189368403] 2 [226:137101:1]
67155b (1 curve)	1	3+ 5+ 11- 37-	1 3+ 5+  1 11- -3  6  7
Curve Equation t Generators 67155b1 [1,1,0,-7445253,-8452332918] 1 [6414335538985869681035960643051972504573792:1212693858623499942227219517883007329403690085:177465256439402996567713076380059926528]
67155c (2 curves)	1	3+ 5+ 11- 37-	1 3+ 5+  2 11-  2  6  6
Curve Equation t Generators 67155c1 [1,1,0,-3753,82152] 2 [44:46:1] 67155c2 [1,1,0,2902,349683] 2 [26:653:1]
67155d (4 curves)	1	3+ 5+ 11- 37-	-1 3+ 5+  0 11-  2 -6  0
Curve Equation t Generators 67155d1 [1,1,1,8649,-4624476] 2 [1688348802:-39811967350:3176523] 67155d2 [1,1,1,-369476,-83879476] 4 [58548:2576900:27] 67155d3 [1,1,1,-929101,229734374] 2 [182:8076:1] 67155d4 [1,1,1,-5859851,-5462250826] 2 [8674:767945:1]
67155e (1 curve)	1	3+ 5+ 11- 37-	-1 3+ 5+ -1 11-  3 -6 -7
Curve Equation t Generators 67155e1 [1,1,1,-61531,6322394] 1 [131:663:1]
67155f (1 curve)	1	3+ 5+ 11- 37-	-2 3+ 5+ -3 11- -6 -2  4
Curve Equation t Generators 67155f1 [0,-1,1,1654,-3004] 1 [59:544:1]
67155g (1 curve)	1	3- 5+ 11- 37+	0 3- 5+  2 11- -5  2 -6
Curve Equation t Generators 67155g1 [0,1,1,-161,37670] 1 [-438:5129:27]
67155h (1 curve)	1	3- 5+ 11- 37+	-1 3- 5+  2 11-  2 -5 -2
Curve Equation t Generators 67155h1 [1,0,0,-4661,-205974] 1 [153:1557:1]
67155i (1 curve)	1	3- 5+ 11- 37+	-2 3- 5+  4 11-  3 -6  0
Curve Equation t Generators 67155i1 [0,1,1,-24966,1530326] 1 [84:-182:1]
67155j (1 curve)	0	3- 5+ 11- 37-	0 3- 5+ -1 11-  2  4 -4
Curve Equation t 67155j1 [0,1,1,-13471,-607865] 1
67155k (1 curve)	0	3- 5+ 11- 37-	0 3- 5+  4 11-  7 -4 -2
Curve Equation t 67155k1 [0,1,1,-46141,113640940] 1
67155l (1 curve)	0	3- 5+ 11- 37-	0 3- 5+ -4 11- -7  4  2
Curve Equation t 67155l1 [0,1,1,-381,-85519] 1
67155m (1 curve)	0	3- 5+ 11- 37-	1 3- 5+ -2 11-  2 -8 -4
Curve Equation t 67155m1 [1,0,1,-69,-233] 1
67155n (1 curve)	0	3- 5+ 11- 37-	1 3- 5+  3 11- -7 -2 -7
Curve Equation t 67155n1 [1,0,1,-1499,-22453] 1
67155o (4 curves)	0	3- 5+ 11- 37-	1 3- 5+  4 11-  2  6 -4
Curve Equation t 67155o1 [1,0,1,-3754,-4710169] 2 67155o2 [1,0,1,-444799,-112854403] 4 67155o3 [1,0,1,-853174,126616697] 2 67155o4 [1,0,1,-7093144,-7271792299] 2
67155p (1 curve)	0	3- 5+ 11- 37-	-1 3- 5+  2 11- -2  8  4
Curve Equation t 67155p1 [1,0,0,-8291,301500] 1
67155q (1 curve)	0	3- 5+ 11- 37-	-1 3- 5+ -3 11-  7  2  7
Curve Equation t 67155q1 [1,0,0,-181321,29703290] 1
67155r (1 curve)	0	3- 5+ 11- 37-	-2 3- 5+  1 11-  2 -2 -4
Curve Equation t 67155r1 [0,1,1,1430664,-1852115380] 1
67155s (2 curves)	1	3- 5- 11- 37-	0 3- 5- -2 11-  1 -6 -2
Curve Equation t Generators 67155s1 [0,1,1,-291045,62549174] 1 [546:8167:1] 67155s2 [0,1,1,-23813445,44720266619] 1 [2823:544:1]
67155t (6 curves)	1	3- 5- 11- 37-	1 3- 5-  0 11-  2 -2 -4
Curve Equation t Generators 67155t1 [1,0,1,-77084263,-260448601987] 2 [45049:-9386845:1] 67155t2 [1,0,1,-85942068,-196870820819] 4 [11615:604032:1] 67155t3 [1,0,1,252631057,-1365218960569] 2 [489698370:-207910735717:2744] 67155t4 [1,0,1,-566240073,5040490744903] 4 [-200978:14874585:8] 67155t5 [1,0,1,171726222,17245272518131] 2 [-169010:16457001:8] 67155t6 [1,0,1,-8988974448,328028770369903] 4 [5739022:-4823255415:8]
67155u (1 curve)	1	3- 5- 11- 37-	1 3- 5-  1 11- -1 -2  5
Curve Equation t Generators 67155u1 [1,0,1,1867,-25819] 1 [15:67:1]
67155v (1 curve)	1	3- 5- 11- 37-	1 3- 5- -2 11-  2  1  6
Curve Equation t Generators 67155v1 [1,0,1,-2954823,-4545691097] 1 [3299:145365:1]
67155w (4 curves)	1	3- 5- 11- 37-	1 3- 5-  4 11-  2 -2  0
Curve Equation t Generators 67155w1 [1,0,1,-9078,-104909] 2 [650881:27993692:343] 67155w2 [1,0,1,-82283,9001793] 4 [7589:656865:1] 67155w3 [1,0,1,-22388,21843281] 2 [147:4588:1] 67155w4 [1,0,1,-1313458,579282053] 4 [13167516:1130554381:1728]
67155x (1 curve)	1	3- 5- 11- 37-	-1 3- 5- -1 11-  1  2 -5
Curve Equation t Generators 67155x1 [1,0,0,225965,34590722] 1 [2309:112283:1]
67155y (1 curve)	1	3- 5- 11- 37-	2 3- 5-  0 11- -5  8 -8
Curve Equation t Generators 67155y1 [0,1,1,-4880,-759841] 1 [938:4331:8]
67155z (1 curve)	1	3- 5- 11- 37-	-2 3- 5-  0 11-  5 -8  8
Curve Equation t Generators 67155z1 [0,1,1,-40,556] 1 [5:-23:1]

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

Part of Computational Number Theory
Back to Tables and computations