Cremona's table of elliptic curves

61347 = 3 · 11² · 13²

Class	r	Atkin-Lehner	Eigenvalues
61347a (1 curve)	0	3+ 11- 13+	0 3+  2 -1 11- 13+ -2  4
Curve Equation t 61347a1 [0,-1,1,13633,80849] 1
61347b (1 curve)	0	3+ 11- 13+	0 3+  2  3 11- 13+ -2 -4
Curve Equation t 61347b1 [0,-1,1,-33318237,-74018632777] 1
61347c (1 curve)	0	3+ 11- 13+	0 3+ -2  1 11- 13+ -2 -4
Curve Equation t 61347c1 [0,-1,1,2303921,186841566] 1
61347d (1 curve)	0	3+ 11- 13+	0 3+ -2  3 11- 13+ -2  7
Curve Equation t 61347d1 [0,-1,1,-1239,-30691] 1
61347e (1 curve)	2	3+ 11- 13+	0 3+ -2 -3 11- 13+  2 -7
Curve Equation t Generators 61347e1 [0,-1,1,-149959,41449176] 1 [-420:5492:1]&[-1046:61343:8]
61347f (1 curve)	0	3+ 11- 13+	0 3+ -2 -3 11- 13+ -2  4
Curve Equation t 61347f1 [0,-1,1,-197149,-33630114] 1
61347g (1 curve)	0	3+ 11- 13+	0 3+ -2  5 11- 13+  2  1
Curve Equation t 61347g1 [0,-1,1,-66609209,-209220120484] 1
61347h (1 curve)	0	3+ 11- 13+	0 3+ -2 -5 11- 13+ -2 -1
Curve Equation t 61347h1 [0,-1,1,-8059714329,278504219221139] 1
61347i (2 curves)	0	3+ 11- 13+	1 3+  1  2 11- 13+  7 -6
Curve Equation t 61347i1 [1,1,0,-1212,-16947] 1 61347i2 [1,1,0,-9077,1847058] 1
61347j (4 curves)	0	3+ 11- 13+	1 3+  2  4 11- 13+  2  0
Curve Equation t 61347j1 [1,1,0,-133344,18528723] 2 61347j2 [1,1,0,-235589,-13923840] 4 61347j3 [1,1,0,889106,-107273525] 2 61347j4 [1,1,0,-2996204,-1995493287] 2
61347k (4 curves)	0	3+ 11- 13+	1 3+ -2 -4 11- 13+ -2  0
Curve Equation t 61347k1 [1,1,0,9799,799440] 2 61347k2 [1,1,0,-92446,9285775] 4 61347k3 [1,1,0,-399181,-88071914] 2 61347k4 [1,1,0,-1421631,651813804] 2
61347l (2 curves)	0	3+ 11- 13+	-1 3+  0  0 11- 13+  4 -8
Curve Equation t 61347l1 [1,1,1,40472,-3939616] 2 61347l2 [1,1,1,-266263,-39888958] 2
61347m (2 curves)	0	3+ 11- 13+	-1 3+ -1 -2 11- 13+  7  6
Curve Equation t 61347m1 [1,1,1,-204916,-36208138] 1 61347m2 [1,1,1,-1534101,4065656772] 1
61347n (1 curve)	0	3+ 11- 13+	2 3+  0  0 11- 13+  2 -5
Curve Equation t 61347n1 [0,-1,1,-63357818,-195744331729] 1
61347o (1 curve)	0	3+ 11- 13+	2 3+  0  0 11- 13+ -2 -5
Curve Equation t 61347o1 [0,-1,1,-3098,67979] 1
61347p (1 curve)	0	3+ 11- 13+	2 3+  0 -3 11- 13+ -8  1
Curve Equation t 61347p1 [0,-1,1,-20619408,57540131417] 1
61347q (1 curve)	0	3+ 11- 13+	2 3+ -4 -1 11- 13+  4  3
Curve Equation t 61347q1 [0,-1,1,74980,-1514173] 1
61347r (1 curve)	0	3+ 11- 13+	-2 3+  0  0 11- 13+  2  5
Curve Equation t 61347r1 [0,-1,1,-374898,-88980838] 1
61347s (1 curve)	0	3+ 11- 13+	-2 3+  0  0 11- 13+ -2  5
Curve Equation t 61347s1 [0,-1,1,-523618,147256020] 1
61347t (1 curve)	0	3+ 11- 13+	-2 3+  0  3 11- 13+  8 -1
Curve Equation t 61347t1 [0,-1,1,-170408,-43168786] 1
61347u (1 curve)	2	3+ 11- 13+	-2 3+ -4  1 11- 13+ -4 -3
Curve Equation t Generators 61347u1 [0,-1,1,620,912] 1 [-6:165:8]&[9:-85:1]
61347v (2 curves)	1	3- 11- 13+	0 3-  0  1 11- 13+  6  1
Curve Equation t Generators 61347v1 [0,1,1,-1499593,714008455] 1 [745:3295:1] 61347v2 [0,1,1,5248577,3643389052] 1 [2777732:404892560:4913]
61347w (2 curves)	1	3- 11- 13+	0 3-  0 -1 11- 13+ -6 -1
Curve Equation t Generators 61347w1 [0,1,1,-12393,-540952] 1 [654:16477:1] 61347w2 [0,1,1,43377,-2721559] 1 [3718890:98389729:5832]
61347x (1 curve)	1	3- 11- 13+	1 3-  2 -3 11- 13+  0 -5
Curve Equation t Generators 61347x1 [1,0,1,360,-15611] 1 [1498772605:141505213244:166375]
61347y (1 curve)	1	3- 11- 13+	1 3- -2 -3 11- 13+  0 -5
Curve Equation t Generators 61347y1 [1,0,1,503,25859] 1 [1053:33655:1]
61347z (6 curves)	1	3- 11- 13+	-1 3-  2  0 11- 13+  6 -4
Curve Equation t Generators 61347z1 [1,0,0,-491202,-190117773] 4 [7473:639294:1] 61347z2 [1,0,0,-8773047,-10000791360] 4 [801819060:63842489130:103823] 61347z3 [1,0,0,-9693252,-7774815465] 4 [14756876363855456022:1169569119551096024679:1905978280909256] 61347z4 [1,0,0,-140362362,-640076749443] 2 [8103343795156077660:-156735809492891075529:585535971896000] 61347z5 [1,0,0,27421683,-52973383308] 2 [3844703830964114327784490479527642230718:-381502281098655709904769359453948632300489:558780827666762165303682921436205608] 61347z6 [1,0,0,-61531467,179889890478] 2 [3124127367206:-122541986971684:973242271]
61347ba (1 curve)	1	3- 11- 13+	-1 3-  2  3 11- 13+  0  5
Curve Equation t Generators 61347ba1 [1,0,0,3,12] 1 [11:32:1]
61347bb (1 curve)	1	3- 11- 13+	-1 3- -2  3 11- 13+  0  5
Curve Equation t Generators 61347bb1 [1,0,0,60921,-34357740] 1 [110755:3288034:125]
61347bc (1 curve)	1	3- 11- 13+	2 3-  2  3 11- 13+  0 -1
Curve Equation t Generators 61347bc1 [0,1,1,-200152,34406389] 1 [1306:19769:8]
61347bd (1 curve)	1	3- 11- 13+	-2 3-  2 -3 11- 13+  0  1
Curve Equation t Generators 61347bd1 [0,1,1,-24218432,-45891777772] 1 [16072:1927867:1]

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

Part of Computational Number Theory
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