Cremona's table of elliptic curves

34160 = 2⁴ · 5 · 7 · 61

Class	r	Atkin-Lehner	Eigenvalues
34160a (2 curves)	1	2+ 5+ 7+ 61+	2+  0 5+ 7+ -2 -2 -6 -4
Curve Equation t Generators 34160a1 [0,0,0,-83,-222] 2 [-7:4:1] 34160a2 [0,0,0,197,-1398] 2 [7:18:1]
34160b (1 curve)	1	2+ 5+ 7+ 61+	2+  2 5+ 7+  4 -4 -3  6
Curve Equation t Generators 34160b1 [0,-1,0,1199,-22515] 1 [13758:119915:216]
34160c (2 curves)	1	2+ 5+ 7+ 61+	2+ -2 5+ 7+  0  6 -6 -4
Curve Equation t Generators 34160c1 [0,1,0,-64456,-6315900] 2 [6024:467166:1] 34160c2 [0,1,0,-78176,-3445676] 2 [-250:732:1]
34160d (1 curve)	2	2+ 5+ 7- 61+	2+  0 5+ 7-  2 -3 -3 -7
Curve Equation t Generators 34160d1 [0,0,0,-5003,136218] 1 [47:-70:1]&[41:4:1]
34160e (1 curve)	1	2+ 5+ 7- 61-	2+  1 5+ 7-  5  4 -3  1
Curve Equation t Generators 34160e1 [0,1,0,-3536,69764] 1 [-16:350:1]
34160f (1 curve)	1	2+ 5+ 7- 61-	2+  2 5+ 7-  0  0 -5  6
Curve Equation t Generators 34160f1 [0,-1,0,-161,-739] 1 [3246:665:216]
34160g (1 curve)	0	2+ 5- 7+ 61+	2+  1 5- 7+  3  0  3  5
Curve Equation t 34160g1 [0,1,0,-133400,-18797500] 1
34160h (4 curves)	0	2+ 5- 7- 61-	2+  0 5- 7-  0  6 -2  4
Curve Equation t 34160h1 [0,0,0,-167,-506] 2 34160h2 [0,0,0,-1147,14586] 4 34160h3 [0,0,0,253,47906] 2 34160h4 [0,0,0,-18227,947154] 2
34160i (4 curves)	0	2+ 5- 7- 61-	2+  0 5- 7-  4 -2 -2  4
Curve Equation t 34160i1 [0,0,0,-1322,14719] 2 34160i2 [0,0,0,-19927,1082646] 4 34160i3 [0,0,0,-18707,1220994] 4 34160i4 [0,0,0,-318827,69291626] 2
34160j (2 curves)	0	2+ 5- 7- 61-	2+  2 5- 7- -4  2  2  8
Curve Equation t 34160j1 [0,-1,0,-120,512] 2 34160j2 [0,-1,0,-400,-2400] 2
34160k (1 curve)	2	2+ 5- 7- 61-	2+ -2 5- 7- -4  1 -7 -5
Curve Equation t Generators 34160k1 [0,1,0,24320,734100] 1 [190:3500:1]&[-10:700:1]
34160l (2 curves)	0	2- 5+ 7+ 61+	2-  2 5+ 7+  0 -2  2 -4
Curve Equation t 34160l1 [0,-1,0,-1296,13760] 2 34160l2 [0,-1,0,-19216,1031616] 2
34160m (1 curve)	0	2- 5+ 7+ 61+	2-  3 5+ 7+  3 -6 -7  5
Curve Equation t 34160m1 [0,0,0,-1123,-11422] 1
34160n (1 curve)	1	2- 5+ 7+ 61-	2-  1 5+ 7+  5  0 -7  7
Curve Equation t Generators 34160n1 [0,1,0,-10836,-436936] 1 [3873:26740:27]
34160o (1 curve)	1	2- 5+ 7+ 61-	2-  1 5+ 7+ -5  2  3  3
Curve Equation t Generators 34160o1 [0,1,0,-6776,78740] 1 [-614:3125:8]
34160p (3 curves)	1	2- 5+ 7+ 61-	2-  2 5+ 7+  0 -4  3 -2
Curve Equation t Generators 34160p1 [0,-1,0,-78261,-8400835] 1 [448955011455336:-12963921846470765:483366984192] 34160p2 [0,-1,0,-76501,-8798499] 1 [10684824:274126375:13824] 34160p3 [0,-1,0,470059,7407005] 1 [4627517089749892152:-172766559329154296875:7349361697857024]
34160q (1 curve)	1	2- 5+ 7+ 61-	2- -3 5+ 7+  3  1 -3 -8
Curve Equation t Generators 34160q1 [0,0,0,632,3292] 1 [14:-122:1]
34160r (1 curve)	1	2- 5+ 7- 61+	2-  0 5+ 7-  2 -3  5 -3
Curve Equation t Generators 34160r1 [0,0,0,4146277,45346798922] 1 [34802:3053771:8]
34160s (1 curve)	1	2- 5+ 7- 61+	2-  1 5+ 7-  3 -4 -1  3
Curve Equation t Generators 34160s1 [0,1,0,-36,-40] 1 [7:10:1]
34160t (1 curve)	1	2- 5+ 7- 61+	2- -1 5+ 7-  5  1  1  4
Curve Equation t Generators 34160t1 [0,-1,0,-6501,-203315] 1 [564:13237:1]
34160u (1 curve)	0	2- 5+ 7- 61-	2- -1 5+ 7-  5  1 -7 -8
Curve Equation t 34160u1 [0,-1,0,-17969061,-30003828659] 1
34160v (1 curve)	0	2- 5+ 7- 61-	2- -1 5+ 7-  5  6  3 -3
Curve Equation t 34160v1 [0,-1,0,-11296,331520] 1
34160w (2 curves)	0	2- 5+ 7- 61-	2-  2 5+ 7- -4 -6  0  0
Curve Equation t 34160w1 [0,-1,0,-61,0] 2 34160w2 [0,-1,0,244,-244] 2
34160x (2 curves)	0	2- 5+ 7- 61-	2- -2 5+ 7- -4 -6  8  8
Curve Equation t 34160x1 [0,1,0,-51021,4418830] 2 34160x2 [0,1,0,-50716,4474584] 2
34160y (1 curve)	1	2- 5- 7+ 61+	2- -1 5- 7+ -3  4  7 -7
Curve Equation t Generators 34160y1 [0,-1,0,-10900,-319300] 1 [-83:82:1]
34160z (1 curve)	1	2- 5- 7+ 61+	2-  2 5- 7+  0  1 -5 -1
Curve Equation t Generators 34160z1 [0,-1,0,-40,-528] 1 [12:24:1]
34160ba (2 curves)	0	2- 5- 7+ 61-	2- -1 5- 7+  3 -4 -3  7
Curve Equation t 34160ba1 [0,-1,0,-35456960,-81251652608] 1 34160ba2 [0,-1,0,-56056960,23543067392] 1
34160bb (4 curves)	0	2- 5- 7+ 61-	2-  2 5- 7+  0  2  6 -8
Curve Equation t 34160bb1 [0,-1,0,-6200,38000] 2 34160bb2 [0,-1,0,-61080,-5757328] 2 34160bb3 [0,-1,0,-378600,89790320] 2 34160bb4 [0,-1,0,-383080,87561072] 2
34160bc (2 curves)	0	2- 5- 7+ 61-	2-  2 5- 7+  0  5 -3  7
Curve Equation t 34160bc1 [0,-1,0,9200,24000] 1 34160bc2 [0,-1,0,-131600,19490240] 1
34160bd (4 curves)	1	2- 5- 7- 61-	2-  0 5- 7-  0 -2  2 -4
Curve Equation t Generators 34160bd1 [0,0,0,-6347,-169094] 2 [-1230:4312:27] 34160bd2 [0,0,0,-26827,1522554] 4 [55:462:1] 34160bd3 [0,0,0,35893,7581306] 4 [951:30030:1] 34160bd4 [0,0,0,-417227,103729274] 4 [27885:751366:27]
34160be (1 curve)	1	2- 5- 7- 61-	2-  1 5- 7-  1  0  1 -7
Curve Equation t Generators 34160be1 [0,1,0,-840,-9100] 1 [-20:10:1]
34160bf (1 curve)	1	2- 5- 7- 61-	2- -1 5- 7-  1 -2  7  1
Curve Equation t Generators 34160bf1 [0,-1,0,-400,3200] 1 [10:10:1]
34160bg (2 curves)	1	2- 5- 7- 61-	2-  2 5- 7- -2 -2 -2  4
Curve Equation t Generators 34160bg1 [0,-1,0,-63280,-6105600] 2 [360:4200:1] 34160bg2 [0,-1,0,-59360,-6899008] 2 [3034:166530:1]
34160bh (2 curves)	1	2- 5- 7- 61-	2- -2 5- 7-  2 -2 -6  4
Curve Equation t Generators 34160bh1 [0,1,0,-2280,39028] 2 [-34:280:1] 34160bh2 [0,1,0,1640,162900] 2 [-20:350:1]
34160bi (1 curve)	1	2- 5- 7- 61-	2- -2 5- 7- -4  0  3 -2
Curve Equation t Generators 34160bi1 [0,1,0,-85,1983] 1 [11:50:1]

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