Cremona's table of elliptic curves

88088 = 2³ · 7 · 11² · 13

Class	r	Atkin-Lehner	Eigenvalues
88088a (2 curves)	0	2+ 7+ 11+ 13-	2+  0  0 7+ 11+ 13- -2  4
Curve Equation t 88088a1 [0,0,0,-55,-726] 2 88088a2 [0,0,0,-1595,-24442] 2
88088b (1 curve)	0	2+ 7+ 11- 13+	2+  0  1 7+ 11- 13+ -4 -5
Curve Equation t 88088b1 [0,0,0,-907742,1359753593] 1
88088c (1 curve)	0	2+ 7+ 11- 13+	2+  2 -3 7+ 11- 13+  0  3
Curve Equation t 88088c1 [0,-1,0,-887,-28444] 1
88088d (1 curve)	0	2+ 7+ 11- 13+	2+  3  1 7+ 11- 13+ -4  4
Curve Equation t 88088d1 [0,0,0,3914108,5577140228] 1
88088e (2 curves)	1	2+ 7+ 11- 13-	2+  0 -2 7+ 11- 13- -4  0
Curve Equation t Generators 88088e1 [0,0,0,3509,151734] 2 [319:5808:1] 88088e2 [0,0,0,-30371,1716990] 2 [2706:43923:8]
88088f (1 curve)	1	2+ 7+ 11- 13-	2+  1  0 7+ 11- 13- -3  6
Curve Equation t Generators 88088f1 [0,1,0,-1008,-11728] 1 [-17:28:1]
88088g (1 curve)	1	2+ 7+ 11- 13-	2+ -2 -1 7+ 11- 13-  6 -1
Curve Equation t Generators 88088g1 [0,1,0,-161,-68477] 1 [51:242:1]
88088h (1 curve)	1	2+ 7+ 11- 13-	2+  3  4 7+ 11- 13- -7  0
Curve Equation t Generators 88088h1 [0,0,0,-1727638,-831828415] 1 [-3190709120959021800:22776293840627607607:3901405626140625]
88088i (2 curves)	1	2+ 7- 11+ 13-	2+  0  0 7- 11+ 13-  2  4
Curve Equation t Generators 88088i1 [0,0,0,-6481970,5767397361] 2 [-1108:107653:1] 88088i2 [0,0,0,8139065,28058627322] 2 [223:172872:1]
88088j (1 curve)	1	2+ 7- 11- 13+	2+  0 -1 7- 11- 13+  0  7
Curve Equation t Generators 88088j1 [0,0,0,-8228,314116] 1 [66:242:1]
88088k (1 curve)	1	2+ 7- 11- 13+	2+  0 -3 7- 11- 13+  0  1
Curve Equation t Generators 88088k1 [0,0,0,14641,966306] 1 [38:1256:1]
88088l (1 curve)	1	2+ 7- 11- 13+	2+  1  2 7- 11- 13+ -3 -4
Curve Equation t Generators 88088l1 [0,1,0,-887,6422] 1 [29:77:1]
88088m (1 curve)	1	2+ 7- 11- 13+	2+  1 -4 7- 11- 13+  3 -4
Curve Equation t Generators 88088m1 [0,1,0,-191220,19061744] 1 [40:3388:1]
88088n (1 curve)	1	2+ 7- 11- 13+	2+ -2  1 7- 11- 13+  2  5
Curve Equation t Generators 88088n1 [0,1,0,21135,-4589] 1 [95:1694:1]
88088o (1 curve)	1	2+ 7- 11- 13+	2+ -2  2 7- 11- 13+  0 -1
Curve Equation t Generators 88088o1 [0,1,0,-573217,166857315] 1 [403:1210:1]
88088p (1 curve)	1	2+ 7- 11- 13+	2+ -3  0 7- 11- 13+  3 -2
Curve Equation t Generators 88088p1 [0,0,0,-11275,-455114] 1 [-65:56:1]
88088q (1 curve)	2	2+ 7- 11- 13-	2+ -1  0 7- 11- 13- -3  0
Curve Equation t Generators 88088q1 [0,-1,0,-2163,39448] 1 [-53:49:1]&[24:28:1]
88088r (1 curve)	2	2+ 7- 11- 13-	2+ -1 -3 7- 11- 13-  0  0
Curve Equation t Generators 88088r1 [0,-1,0,2743,-305171] 1 [57:182:1]&[213:3146:1]
88088s (2 curves)	0	2- 7+ 11+ 13+	2-  0  0 7+ 11+ 13+ -2 -4
Curve Equation t 88088s1 [0,0,0,-53570,-4333131] 2 88088s2 [0,0,0,67265,-21080862] 2
88088t (1 curve)	1	2- 7+ 11- 13+	2- -1  0 7+ 11- 13+  3  0
Curve Equation t Generators 88088t1 [0,-1,0,-261763,-51458284] 1 [-295:49:1]
88088u (1 curve)	2	2- 7+ 11- 13-	2-  0 -3 7+ 11- 13-  0 -1
Curve Equation t Generators 88088u1 [0,0,0,121,-726] 1 [5:2:1]&[11:44:1]
88088v (1 curve)	0	2- 7+ 11- 13-	2-  1  2 7+ 11- 13-  3  4
Curve Equation t 88088v1 [0,1,0,-107367,-8977102] 1
88088w (1 curve)	2	2- 7+ 11- 13-	2-  1 -4 7+ 11- 13- -3  4
Curve Equation t Generators 88088w1 [0,1,0,-1580,-14896] 1 [-34:26:1]&[-25:98:1]
88088x (1 curve)	0	2- 7+ 11- 13-	2- -1  0 7+ 11- 13- -4 -2
Curve Equation t 88088x1 [0,-1,0,-1008,30604] 1
88088y (1 curve)	0	2- 7+ 11- 13-	2-  2  3 7+ 11- 13-  2 -5
Curve Equation t 88088y1 [0,-1,0,129551,-11833083] 1
88088z (1 curve)	0	2- 7+ 11- 13-	2- -2 -1 7+ 11- 13-  6  7
Curve Equation t 88088z1 [0,1,0,-4430207041,113495462096883] 1
88088ba (1 curve)	0	2- 7+ 11- 13-	2- -2  2 7+ 11- 13-  0  1
Curve Equation t 88088ba1 [0,1,0,-4737,-127085] 1
88088bb (1 curve)	2	2- 7+ 11- 13-	2- -3  0 7+ 11- 13- -3  2
Curve Equation t Generators 88088bb1 [0,0,0,-1364275,605756734] 1 [-1210:22022:1]&[363:-12584:1]
88088bc (2 curves)	1	2- 7- 11+ 13+	2-  0  0 7- 11+ 13+  2 -4
Curve Equation t Generators 88088bc1 [0,0,0,-6655,966306] 2 [5:966:1] 88088bc2 [0,0,0,-192995,32532302] 2 [8121:35144:27]
88088bd (1 curve)	0	2- 7- 11- 13+	2-  1  0 7- 11- 13+  3 -6
Curve Equation t 88088bd1 [0,1,0,-122008,15121984] 1
88088be (1 curve)	0	2- 7- 11- 13+	2-  3  4 7- 11- 13+  7  0
Curve Equation t 88088be1 [0,0,0,-14278,624965] 1
88088bf (1 curve)	1	2- 7- 11- 13-	2-  0  1 7- 11- 13-  4  5
Curve Equation t Generators 88088bf1 [0,0,0,-7502,-1021603] 1 [1342:49049:1]
88088bg (1 curve)	1	2- 7- 11- 13-	2-  2 -3 7- 11- 13-  0 -3
Curve Equation t Generators 88088bg1 [0,-1,0,-7,24] 1 [-3:3:1]

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