Cremona's table of elliptic curves

24650 = 2 · 5² · 17 · 29

Class	r	Atkin-Lehner	Eigenvalues
24650a (4 curves)	1	2+ 5+ 17+ 29+	2+  0 5+  0  4  6 17+ -4
Curve Equation t Generators 24650a1 [1,-1,0,-1817,23341] 2 [-30:239:1] 24650a2 [1,-1,0,-9817,-352659] 4 [-55:164:1] 24650a3 [1,-1,0,7183,-1457659] 2 [8715:154028:27] 24650a4 [1,-1,0,-154817,-23407659] 2 [-497835:253527:2197]
24650b (1 curve)	1	2+ 5+ 17+ 29+	2+  0 5+  1  0  1 17+ -7
Curve Equation t Generators 24650b1 [1,-1,0,-17,2141] 1 [34:183:1]
24650c (1 curve)	1	2+ 5+ 17+ 29+	2+  2 5+  2 -2  2 17+ -6
Curve Equation t Generators 24650c1 [1,1,0,2590,267380] 1 [182:4565:8]
24650d (4 curves)	1	2+ 5+ 17+ 29+	2+  2 5+  4  0 -2 17+  2
Curve Equation t Generators 24650d1 [1,1,0,-336900,-72478000] 2 [124861062648:-24815201990396:3176523] 24650d2 [1,1,0,175100,-272670000] 2 [1797451320:8082238340:3176523] 24650d3 [1,1,0,-26992900,-53989950000] 2 [4236566322703925309178691241112:-835877769010484758573051906073924:107395556899602036683759337] 24650d4 [1,1,0,-26990900,-53998348000] 2 [752701254034584540:25035972486410388980:115195625049393]
24650e (2 curves)	0	2+ 5+ 17+ 29-	2+  2 5+  4  0  2 17+  2
Curve Equation t 24650e1 [1,1,0,-1250,-17500] 2 24650e2 [1,1,0,-750,-31000] 2
24650f (2 curves)	0	2+ 5+ 17- 29+	2+  0 5+  2 -2  2 17-  6
Curve Equation t 24650f1 [1,-1,0,-37567,1873341] 2 24650f2 [1,-1,0,106933,12710841] 2
24650g (1 curve)	0	2+ 5+ 17- 29+	2+  1 5+  0  5  5 17-  4
Curve Equation t 24650g1 [1,0,1,-281,-1832] 1
24650h (1 curve)	0	2+ 5+ 17- 29+	2+ -2 5+  0  0  0 17- -6
Curve Equation t 24650h1 [1,0,1,-42269076,113375473298] 1
24650i (1 curve)	0	2+ 5+ 17- 29+	2+ -2 5+  0  0  7 17-  1
Curve Equation t 24650i1 [1,0,1,-706,-7272] 1
24650j (1 curve)	1	2+ 5+ 17- 29-	2+ -1 5+  2 -1  3 17-  4
Curve Equation t Generators 24650j1 [1,1,0,200,2000] 1 [-4:36:1]
24650k (1 curve)	1	2+ 5+ 17- 29-	2+  2 5+ -1 -4  3 17-  1
Curve Equation t Generators 24650k1 [1,1,0,86675,-10459875] 1 [36030:1327585:27]
24650l (1 curve)	0	2+ 5- 17+ 29+	2+ -1 5-  4 -3 -1 17+  8
Curve Equation t 24650l1 [1,1,0,-12200,341500] 1
24650m (1 curve)	1	2+ 5- 17+ 29-	2+ -3 5-  3  4  1 17+  4
Curve Equation t Generators 24650m1 [1,-1,0,-14467,-735659] 1 [454:9053:1]
24650n (1 curve)	1	2+ 5- 17- 29+	2+  0 5- -3 -2 -3 17- -4
Curve Equation t Generators 24650n1 [1,-1,0,58,116] 1 [4:-22:1]
24650o (2 curves)	1	2+ 5- 17- 29+	2+ -2 5- -1  6  2 17- -7
Curve Equation t Generators 24650o1 [1,0,1,-1076,47298] 3 [53:347:1] 24650o2 [1,0,1,9549,-1185202] 1 [2181:8048:27]
24650p (1 curve)	1	2+ 5- 17- 29+	2+ -3 5- -4  3  1 17-  6
Curve Equation t Generators 24650p1 [1,-1,0,-367,541] 1 [-6:-47:1]
24650q (2 curves)	0	2+ 5- 17- 29-	2+  0 5-  0  4  2 17-  2
Curve Equation t 24650q1 [1,-1,0,-1492,-18084] 2 24650q2 [1,-1,0,-22742,-1314334] 2
24650r (1 curve)	0	2+ 5- 17- 29-	2+  0 5-  0  4  7 17-  7
Curve Equation t 24650r1 [1,-1,0,614758,-12923084] 1
24650s (1 curve)	2	2+ 5- 17- 29-	2+  0 5-  2 -4 -6 17-  0
Curve Equation t Generators 24650s1 [1,-1,0,10633,-163459] 1 [19:203:1]&[53:713:1]
24650t (1 curve)	0	2+ 5- 17- 29-	2+  1 5-  4 -5  3 17-  4
Curve Equation t 24650t1 [1,0,1,-28076,-1703702] 1
24650u (2 curves)	0	2- 5+ 17+ 29+	2-  0 5+ -2  2 -6 17+ -6
Curve Equation t 24650u1 [1,-1,1,-53880,-4143253] 2 24650u2 [1,-1,1,90620,-22639253] 2
24650v (2 curves)	0	2- 5+ 17+ 29+	2-  0 5+ -2 -6  2 17+ -6
Curve Equation t 24650v1 [1,-1,1,-737498505,7709038533497] 2 24650v2 [1,-1,1,-737354005,7712210308497] 2
24650w (1 curve)	0	2- 5+ 17+ 29+	2-  0 5+  3 -2  3 17+ -4
Curve Equation t 24650w1 [1,-1,1,1445,15947] 1
24650x (1 curve)	0	2- 5+ 17+ 29+	2-  0 5+  3  4 -3 17+ -1
Curve Equation t 24650x1 [1,-1,1,-543505,-154693503] 1
24650y (2 curves)	0	2- 5+ 17+ 29+	2-  2 5+  1  6 -2 17+ -7
Curve Equation t 24650y1 [1,1,1,-43,361] 1 24650y2 [1,1,1,382,-9329] 1
24650z (2 curves)	0	2- 5+ 17+ 29+	2-  2 5+ -5  0 -5 17+ -1
Curve Equation t 24650z1 [1,1,1,237,-4219] 1 24650z2 [1,1,1,-14638,-688469] 1
24650ba (1 curve)	0	2- 5+ 17+ 29+	2-  3 5+  4  3 -1 17+  6
Curve Equation t 24650ba1 [1,-1,1,-15,7] 1
24650bb (1 curve)	1	2- 5+ 17+ 29-	2-  0 5+  0  4 -7 17+  7
Curve Equation t Generators 24650bb1 [1,-1,1,24590,-108303] 1 [225:3983:1]
24650bc (1 curve)	1	2- 5+ 17+ 29-	2-  0 5+ -2 -4  6 17+  0
Curve Equation t Generators 24650bc1 [1,-1,1,425,-1393] 1 [5:26:1]
24650bd (1 curve)	1	2- 5+ 17+ 29-	2-  1 5+  2  1 -5 17+ -4
Curve Equation t Generators 24650bd1 [1,0,0,-260188,-51105008] 1 [1176:35044:1]
24650be (1 curve)	1	2- 5+ 17+ 29-	2- -1 5+ -4 -5 -3 17+  4
Curve Equation t Generators 24650be1 [1,1,1,-1123,-14079] 1 [-19:-20:1]
24650bf (2 curves)	1	2- 5+ 17+ 29-	2- -2 5+  2 -2 -2 17+ -4
Curve Equation t Generators 24650bf1 [1,0,0,-6913,215817] 2 [26:-245:1] 24650bf2 [1,0,0,1087,687817] 2 [-48:749:1]
24650bg (1 curve)	1	2- 5+ 17- 29+	2-  1 5+ -4 -3  1 17-  8
Curve Equation t Generators 24650bg1 [1,0,0,-488,2732] 1 [-4:70:1]
24650bh (1 curve)	0	2- 5+ 17- 29-	2-  0 5+ -3  4  5 17-  7
Curve Equation t 24650bh1 [1,-1,1,-60505,-8048503] 1
24650bi (1 curve)	0	2- 5+ 17- 29-	2-  3 5+ -3  4 -1 17-  4
Curve Equation t 24650bi1 [1,-1,1,-361680,-92319053] 1
24650bj (1 curve)	1	2- 5- 17+ 29+	2- -1 5-  0  5 -5 17+  4
Curve Equation t Generators 24650bj1 [1,1,1,-7013,-228969] 1 [-64999:34238:1331]
24650bk (1 curve)	1	2- 5- 17+ 29+	2-  2 5-  0  0  0 17+ -6
Curve Equation t Generators 24650bk1 [1,1,1,-1690763,906327481] 1 [1619:48342:1]
24650bl (1 curve)	1	2- 5- 17+ 29+	2-  2 5-  0  0 -7 17+  1
Curve Equation t Generators 24650bl1 [1,1,1,-17638,-908969] 1 [1192915:7286663:6859]
24650bm (2 curves)	0	2- 5- 17+ 29-	2-  0 5-  0  4 -2 17+  2
Curve Equation t 24650bm1 [1,-1,1,-60,-133] 2 24650bm2 [1,-1,1,-910,-10333] 2
24650bn (1 curve)	2	2- 5- 17- 29+	2- -2 5- -2 -2 -2 17- -6
Curve Equation t Generators 24650bn1 [1,0,0,64737,33293017] 1 [-98:5149:1]&[-1634:28017:8]

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