Cremona's table of elliptic curves

96832 = 2⁶ · 17 · 89

Class	r	Atkin-Lehner	Eigenvalues
96832a (2 curves)	0	2+ 17+ 89-	2+  0  4  0  6  0 17+  6
Curve Equation t 96832a1 [0,0,0,-2188,38640] 2 96832a2 [0,0,0,-4748,-68880] 2
96832b (1 curve)	2	2+ 17+ 89-	2+ -1 -1 -4 -4  5 17+  4
Curve Equation t Generators 96832b1 [0,-1,0,-2881,60737] 1 [-61:76:1]&[17:128:1]
96832c (2 curves)	0	2+ 17+ 89-	2+ -2  0  4  2  2 17+  0
Curve Equation t 96832c1 [0,1,0,-179553,-29344385] 2 96832c2 [0,1,0,-179713,-29289633] 2
96832d (1 curve)	0	2+ 17+ 89-	2+  3  1  0  0  3 17+  0
Curve Equation t 96832d1 [0,0,0,5588,65072] 1
96832e (2 curves)	2	2+ 17- 89+	2+  1 -1 -2 -2  1 17-  0
Curve Equation t Generators 96832e1 [0,1,0,22079,-919649] 1 [3225:50048:27]&[525:12476:1] 96832e2 [0,1,0,-3818561,-2873381089] 1 [4010:215201:1]&[5627:392224:1]
96832f (1 curve)	2	2+ 17- 89+	2+  1 -3 -2  2 -1 17-  4
Curve Equation t Generators 96832f1 [0,1,0,63,671] 1 [-5:16:1]&[10:49:1]
96832g (2 curves)	2	2+ 17- 89+	2+ -2  2 -2  4 -2 17-  0
Curve Equation t Generators 96832g1 [0,1,0,-7617,250783] 2 [-83:564:1]&[27:256:1] 96832g2 [0,1,0,-121537,16267935] 2 [205:100:1]&[251:1280:1]
96832h (2 curves)	2	2+ 17- 89+	2+ -2 -2  2 -4 -2 17- -4
Curve Equation t Generators 96832h1 [0,1,0,-8449,-259233] 2 [-51:204:1]&[-37:64:1] 96832h2 [0,1,0,-36929,2469151] 2 [141:292:1]&[171:1088:1]
96832i (2 curves)	2	2+ 17- 89+	2+ -2 -2 -2  0  2 17-  0
Curve Equation t Generators 96832i1 [0,1,0,-209,-689] 2 [-11:20:1]&[-5:16:1] 96832i2 [0,1,0,-1569,22975] 2 [27:32:1]&[29:52:1]
96832j (1 curve)	0	2+ 17- 89+	2+  3 -3 -2  6  1 17-  8
Curve Equation t 96832j1 [0,0,0,-844,-11056] 1
96832k (1 curve)	2	2+ 17- 89+	2+ -3 -3  2 -6  1 17- -8
Curve Equation t Generators 96832k1 [0,0,0,-844,11056] 1 [-27:119:1]&[-10:136:1]
96832l (2 curves)	0	2- 17+ 89+	2-  0  0  2 -2 -2 17+  4
Curve Equation t 96832l1 [0,0,0,-260,-1152] 2 96832l2 [0,0,0,-3820,-90864] 2
96832m (2 curves)	2	2- 17+ 89+	2-  0  0 -2  2 -2 17+ -4
Curve Equation t Generators 96832m1 [0,0,0,-260,1152] 2 [14:16:1]&[18:48:1] 96832m2 [0,0,0,-3820,90864] 2 [38:24:1]&[198:2664:1]
96832n (2 curves)	0	2- 17+ 89+	2-  0  4  2  2  2 17+  4
Curve Equation t 96832n1 [0,0,0,-6788,-214400] 2 96832n2 [0,0,0,-10348,34800] 2
96832o (2 curves)	0	2- 17+ 89+	2-  0  4 -2 -2  2 17+ -4
Curve Equation t 96832o1 [0,0,0,-6788,214400] 2 96832o2 [0,0,0,-10348,-34800] 2
96832p (2 curves)	1	2- 17+ 89-	2-  0  0  0  2 -4 17+  6
Curve Equation t Generators 96832p1 [0,0,0,-2020,34944] 2 [58:336:1] 96832p2 [0,0,0,-2060,33488] 2 [16:68:1]
96832q (2 curves)	1	2- 17+ 89-	2-  0  0  0 -2 -4 17+ -6
Curve Equation t Generators 96832q1 [0,0,0,-2020,-34944] 2 [850:7797:8] 96832q2 [0,0,0,-2060,-33488] 2 [69:391:1]
96832r (2 curves)	1	2- 17+ 89-	2-  0  4  0 -6  0 17+ -6
Curve Equation t Generators 96832r1 [0,0,0,-2188,-38640] 2 [440890:9203187:1000] 96832r2 [0,0,0,-4748,68880] 2 [1760:73780:1]
96832s (1 curve)	1	2- 17+ 89-	2-  1 -1  4  4  5 17+ -4
Curve Equation t Generators 96832s1 [0,1,0,-2881,-60737] 1 [726086361:8265647008:4826809]
96832t (2 curves)	1	2- 17+ 89-	2-  2  0 -4 -2  2 17+  0
Curve Equation t Generators 96832t1 [0,-1,0,-179553,29344385] 2 [53214:8099:216] 96832t2 [0,-1,0,-179713,29289633] 2 [312:1869:1]
96832u (1 curve)	1	2- 17+ 89-	2- -3  1  0  0  3 17+  0
Curve Equation t Generators 96832u1 [0,0,0,5588,-65072] 1 [124:1592:1]
96832v (2 curves)	1	2- 17- 89+	2-  0  2  2 -4 -4 17- -2
Curve Equation t Generators 96832v1 [0,0,0,-164,640] 2 [12:20:1] 96832v2 [0,0,0,-844,-8880] 2 [80:660:1]
96832w (2 curves)	1	2- 17- 89+	2-  0  2 -2  4 -4 17-  2
Curve Equation t Generators 96832w1 [0,0,0,-164,-640] 2 [22:80:1] 96832w2 [0,0,0,-844,8880] 2 [210:555:8]
96832x (2 curves)	1	2- 17- 89+	2- -1 -1  2  2  1 17-  0
Curve Equation t Generators 96832x1 [0,-1,0,22079,919649] 1 [247:4624:1] 96832x2 [0,-1,0,-3818561,2873381089] 1 [830367:458128:729]
96832y (1 curve)	1	2- 17- 89+	2- -1 -3  2 -2 -1 17- -4
Curve Equation t Generators 96832y1 [0,-1,0,63,-671] 1 [7:8:1]
96832z (2 curves)	1	2- 17- 89+	2-  2  2  2 -4 -2 17-  0
Curve Equation t Generators 96832z1 [0,-1,0,-7617,-250783] 2 [78800893:2655364608:68921] 96832z2 [0,-1,0,-121537,-16267935] 2 [128621355882435:4163683130325640:110384769573]
96832ba (2 curves)	1	2- 17- 89+	2-  2 -2  2  0  2 17-  0
Curve Equation t Generators 96832ba1 [0,-1,0,-209,689] 2 [85:768:1] 96832ba2 [0,-1,0,-1569,-22975] 2 [2397:19648:27]
96832bb (2 curves)	1	2- 17- 89+	2-  2 -2 -2  4 -2 17-  4
Curve Equation t Generators 96832bb1 [0,-1,0,-8449,259233] 2 [357:6528:1] 96832bb2 [0,-1,0,-36929,-2469151] 2 [-790:3621:8]
96832bc (2 curves)	0	2- 17- 89-	2-  2 -2  0  4  0 17-  2
Curve Equation t 96832bc1 [0,-1,0,-889,-5511] 2 96832bc2 [0,-1,0,-12449,-530335] 2
96832bd (2 curves)	0	2- 17- 89-	2-  2 -2  4  4  4 17-  2
Curve Equation t 96832bd1 [0,-1,0,-940729,351505209] 2 96832bd2 [0,-1,0,-952289,342435233] 2
96832be (2 curves)	2	2- 17- 89-	2- -2 -2  0 -4  0 17- -2
Curve Equation t Generators 96832be1 [0,1,0,-889,5511] 2 [-29:88:1]&[35:136:1] 96832be2 [0,1,0,-12449,530335] 2 [-113:712:1]&[-33:952:1]
96832bf (2 curves)	2	2- 17- 89-	2- -2 -2 -4 -4  4 17- -2
Curve Equation t Generators 96832bf1 [0,1,0,-940729,-351505209] 2 [1615:-48416:1]&[1139:7480:1] 96832bf2 [0,1,0,-952289,-342435233] 2 [-561:3944:1]&[-481:2136:1]

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