Cremona's table of elliptic curves

99990 = 2 · 3² · 5 · 11 · 101

Class	r	Atkin-Lehner	Eigenvalues
99990a (2 curves)	1	2+ 3+ 5+ 11+ 101+	2+ 3+ 5+  0 11+  4  6 -4
Curve Equation t Generators 99990a1 [1,-1,0,-11550,-467500] 2 [175:1600:1] 99990a2 [1,-1,0,-23670,693596] 2 [805:22021:1]
99990b (1 curve)	1	2+ 3+ 5+ 11- 101-	2+ 3+ 5+ -3 11- -5  3  2
Curve Equation t Generators 99990b1 [1,-1,0,-285,23741] 1 [7:-152:1]
99990c (2 curves)	1	2+ 3+ 5+ 11- 101-	2+ 3+ 5+ -4 11-  6 -8 -6
Curve Equation t Generators 99990c1 [1,-1,0,-59685,-2212075] 2 [7401:34168:27] 99990c2 [1,-1,0,216795,-17086699] 2 [745:23239:1]
99990d (2 curves)	1	2+ 3+ 5- 11- 101+	2+ 3+ 5- -1 11- -7  3  2
Curve Equation t Generators 99990d1 [1,-1,0,246741,23819013] 3 [-93:294:1] 99990d2 [1,-1,0,-2702634,-2100169612] 1 [124948:440941:64]
99990e (2 curves)	1	2+ 3+ 5- 11- 101+	2+ 3+ 5- -4 11-  2  4  6
Curve Equation t Generators 99990e1 [1,-1,0,-339,-2315] 2 [39:187:1] 99990e2 [1,-1,0,-219,-4067] 2 [29:101:1]
99990f (4 curves)	0	2+ 3- 5+ 11+ 101+	2+ 3- 5+  0 11+  2 -6  4
Curve Equation t 99990f1 [1,-1,0,-13185,-549315] 2 99990f2 [1,-1,0,-39105,2296701] 4 99990f3 [1,-1,0,91575,14293125] 2 99990f4 [1,-1,0,-584505,172134261] 2
99990g (2 curves)	0	2+ 3- 5+ 11+ 101+	2+ 3- 5+ -2 11+ -1  2  0
Curve Equation t 99990g1 [1,-1,0,-70785,-7643075] 1 99990g2 [1,-1,0,184815,477001165] 1
99990h (1 curve)	0	2+ 3- 5+ 11- 101-	2+ 3- 5+  1 11-  0  7 -3
Curve Equation t 99990h1 [1,-1,0,113895,3171501] 1
99990i (1 curve)	0	2+ 3- 5+ 11- 101-	2+ 3- 5+  1 11- -4 -3 -1
Curve Equation t 99990i1 [1,-1,0,-233925,53513045] 1
99990j (1 curve)	1	2+ 3- 5- 11+ 101+	2+ 3- 5- -3 11+  4 -3  5
Curve Equation t Generators 99990j1 [1,-1,0,1056,3608] 1 [-1:51:1]
99990k (1 curve)	0	2+ 3- 5- 11- 101+	2+ 3- 5-  5 11-  5  7  0
Curve Equation t 99990k1 [1,-1,0,-8199,506173] 1
99990l (1 curve)	1	2+ 3- 5- 11- 101-	2+ 3- 5- -3 11- -4  5 -3
Curve Equation t Generators 99990l1 [1,-1,0,-95634,-11366060] 1 [1271:43172:1]
99990m (2 curves)	1	2- 3+ 5+ 11+ 101-	2- 3+ 5+ -1 11+ -7 -3  2
Curve Equation t Generators 99990m1 [1,-1,1,-300293,77884157] 3 [255:-4352:1] 99990m2 [1,-1,1,2220667,-645334019] 1 [6517:535796:1]
99990n (2 curves)	1	2- 3+ 5+ 11+ 101-	2- 3+ 5+ -4 11+  2 -4  6
Curve Equation t Generators 99990n1 [1,-1,1,-3053,65557] 2 [-23:362:1] 99990n2 [1,-1,1,-1973,111781] 2 [13:-304:1]
99990o (1 curve)	1	2- 3+ 5- 11+ 101+	2- 3+ 5- -3 11+ -5 -3  2
Curve Equation t Generators 99990o1 [1,-1,1,-32,-869] 1 [31:149:1]
99990p (2 curves)	1	2- 3+ 5- 11+ 101+	2- 3+ 5- -4 11+  6  8 -6
Curve Equation t Generators 99990p1 [1,-1,1,-6632,84139] 2 [-83:281:1] 99990p2 [1,-1,1,24088,624811] 2 [101:-2071:1]
99990q (2 curves)	1	2- 3+ 5- 11- 101-	2- 3+ 5-  0 11-  4 -6 -4
Curve Equation t Generators 99990q1 [1,-1,1,-103952,12726451] 2 [-199:5149:1] 99990q2 [1,-1,1,-213032,-18514061] 2 [-253:4501:1]
99990r (4 curves)	1	2- 3- 5+ 11+ 101+	2- 3- 5+  0 11+ -2 -2  0
Curve Equation t Generators 99990r1 [1,-1,1,-3173,-67939] 2 [67:96:1] 99990r2 [1,-1,1,-3893,-34243] 4 [-27:238:1] 99990r3 [1,-1,1,14287,-274219] 2 [175:2662:1] 99990r4 [1,-1,1,-33593,2353637] 2 [171:1174:1]
99990s (1 curve)	1	2- 3- 5+ 11+ 101+	2- 3- 5+  2 11+ -1  2 -4
Curve Equation t Generators 99990s1 [1,-1,1,97,-1529] 1 [11:22:1]
99990t (1 curve)	1	2- 3- 5+ 11+ 101+	2- 3- 5+  3 11+  4 -3 -1
Curve Equation t Generators 99990t1 [1,-1,1,-105473,13240081] 1 [311:3076:1]
99990u (1 curve)	0	2- 3- 5+ 11- 101+	2- 3- 5+  1 11- -2 -7 -5
Curve Equation t 99990u1 [1,-1,1,-203,-6919] 1
99990v (2 curves)	1	2- 3- 5+ 11- 101-	2- 3- 5+  0 11-  4  0  0
Curve Equation t Generators 99990v1 [1,-1,1,-273308,-54476773] 2 [51532313040:3856759729681:8998912] 99990v2 [1,-1,1,-76478,-131476669] 2 [182934:27568733:8]
99990w (1 curve)	0	2- 3- 5- 11+ 101+	2- 3- 5- -1 11+ -4  1  1
Curve Equation t 99990w1 [1,-1,1,-82922,9475971] 1
99990x (2 curves)	1	2- 3- 5- 11- 101+	2- 3- 5-  0 11-  4 -4  4
Curve Equation t Generators 99990x1 [1,-1,1,-1381712,-624766669] 2 [-681:439:1] 99990x2 [1,-1,1,-1312592,-690126541] 2 [2349:-97007:1]
99990y (2 curves)	1	2- 3- 5- 11- 101+	2- 3- 5- -1 11- -4 -3  5
Curve Equation t Generators 99990y1 [1,-1,1,28183,-5237359] 1 [261:4324:1] 99990y2 [1,-1,1,-258152,155911979] 3 [-513:12631:1]
99990z (1 curve)	1	2- 3- 5- 11- 101+	2- 3- 5-  3 11-  1 -1 -8
Curve Equation t Generators 99990z1 [1,-1,1,-8207852,9052985351] 1 [3051:109849:1]
99990ba (1 curve)	1	2- 3- 5- 11- 101+	2- 3- 5-  4 11- -5  2 -2
Curve Equation t Generators 99990ba1 [1,-1,1,4288,44111] 1 [1:219:1]
99990bb (1 curve)	1	2- 3- 5- 11- 101+	2- 3- 5- -4 11-  5 -2  6
Curve Equation t Generators 99990bb1 [1,-1,1,-23072,12183171] 1 [-189:3219:1]
99990bc (2 curves)	0	2- 3- 5- 11- 101-	2- 3- 5-  4 11- -4 -4 -8
Curve Equation t 99990bc1 [1,-1,1,148,479] 2 99990bc2 [1,-1,1,-752,4799] 2

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