Cremona's table of elliptic curves

20010 = 2 · 3 · 5 · 23 · 29

Class	r	Atkin-Lehner	Eigenvalues
20010a (1 curve)	1	2+ 3+ 5+ 23+ 29+	2+ 3+ 5+  4 -6 -1  6 -7
Curve Equation t Generators 20010a1 [1,1,0,-27193,1716133] 1 [93:2:1]
20010b (2 curves)	0	2+ 3+ 5+ 23+ 29-	2+ 3+ 5+ -2 -2 -6  4  4
Curve Equation t 20010b1 [1,1,0,2675192,5892490048] 2 20010b2 [1,1,0,-37137928,79873229632] 2
20010c (2 curves)	0	2+ 3+ 5- 23+ 29+	2+ 3+ 5-  2  6  0  6  0
Curve Equation t 20010c1 [1,1,0,-39982,-3093836] 2 20010c2 [1,1,0,-40462,-3016364] 2
20010d (1 curve)	1	2+ 3+ 5- 23- 29+	2+ 3+ 5-  2  0  1 -2 -1
Curve Equation t Generators 20010d1 [1,1,0,-2,6] 1 [1:2:1]
20010e (2 curves)	1	2+ 3+ 5- 23- 29+	2+ 3+ 5-  2  0 -2 -2  6
Curve Equation t Generators 20010e1 [1,1,0,-222,-9216] 2 [53:336:1] 20010e2 [1,1,0,-8052,-280134] 2 [-55:39:1]
20010f (1 curve)	1	2+ 3+ 5- 23- 29+	2+ 3+ 5-  2  0  5 -2 -1
Curve Equation t Generators 20010f1 [1,1,0,-10960814152,441680111822656] 1 [4305631468939639500482797599:-2496975887331646826266101052:71246016001349273035349]
20010g (2 curves)	1	2+ 3+ 5- 23- 29+	2+ 3+ 5- -4  0 -4  4 -4
Curve Equation t Generators 20010g1 [1,1,0,38,-236] 2 [5:8:1] 20010g2 [1,1,0,-442,-3404] 2 [-15:19:1]
20010h (2 curves)	1	2+ 3- 5+ 23+ 29-	2+ 3- 5+  2  0  5  6 -7
Curve Equation t Generators 20010h1 [1,0,1,-784,8702] 3 [300:5026:1] 20010h2 [1,0,1,4001,23666] 1 [296790:5083297:1000]
20010i (2 curves)	1	2+ 3- 5+ 23+ 29-	2+ 3- 5+ -2  6  4 -2 -4
Curve Equation t Generators 20010i1 [1,0,1,-40599,3142522] 2 [-97:2532:1] 20010i2 [1,0,1,-50319,1521226] 2 [-106:2433:1]
20010j (2 curves)	1	2+ 3- 5+ 23+ 29-	2+ 3- 5+  4  0 -4  0 -4
Curve Equation t Generators 20010j1 [1,0,1,51,52] 2 [5:18:1] 20010j2 [1,0,1,-219,376] 2 [-4:36:1]
20010k (2 curves)	1	2+ 3- 5+ 23- 29+	2+ 3- 5+  0  2 -6  0 -4
Curve Equation t Generators 20010k1 [1,0,1,-27724,1712522] 2 [-44:1709:1] 20010k2 [1,0,1,12276,6256522] 2 [-7:2487:1]
20010l (4 curves)	1	2+ 3- 5+ 23- 29+	2+ 3- 5+ -4 -4 -2 -2  4
Curve Equation t Generators 20010l1 [1,0,1,-909,-2168] 2 [-4:39:1] 20010l2 [1,0,1,-8909,321032] 4 [6:514:1] 20010l3 [1,0,1,-142309,20651192] 2 [220:-52:1] 20010l4 [1,0,1,-3509,707672] 2 [30:778:1]
20010m (2 curves)	1	2+ 3- 5+ 23- 29+	2+ 3- 5+ -4 -6  2  0 -6
Curve Equation t Generators 20010m1 [1,0,1,-49,-6028] 2 [31:134:1] 20010m2 [1,0,1,-5269,-145924] 2 [-44:56:1]
20010n (4 curves)	0	2+ 3- 5- 23+ 29-	2+ 3- 5-  0 -4  6  2 -4
Curve Equation t 20010n1 [1,0,1,195429522,-1084101952352] 2 20010n2 [1,0,1,-1146747758,-10353715118944] 4 20010n3 [1,0,1,-16733584238,-833051883471712] 2 20010n4 [1,0,1,-7034747758,219094579281056] 4
20010o (1 curve)	1	2+ 3- 5- 23- 29-	2+ 3- 5-  0 -2  1  2  3
Curve Equation t Generators 20010o1 [1,0,1,16502,-3127684] 1 [109590:-54947:1000]
20010p (1 curve)	1	2- 3+ 5+ 23+ 29-	2- 3+ 5+  4 -2  3 -2 -5
Curve Equation t Generators 20010p1 [1,1,1,569,76133] 1 [-23:238:1]
20010q (4 curves)	0	2- 3+ 5+ 23- 29-	2- 3+ 5+  4  4  6 -2  4
Curve Equation t 20010q1 [1,1,1,-1820401,-945020401] 2 20010q2 [1,1,1,-2332401,-371375601] 4 20010q3 [1,1,1,-21799601,38882286479] 2 20010q4 [1,1,1,8942799,-2901530481] 2
20010r (4 curves)	0	2- 3+ 5- 23- 29+	2- 3+ 5-  0  0 -6 -6 -4
Curve Equation t 20010r1 [1,1,1,11025,79038645] 4 20010r2 [1,1,1,-2697455,1672708277] 4 20010r3 [1,1,1,-5792335,-2884193035] 2 20010r4 [1,1,1,-42938255,108278635637] 2
20010s (2 curves)	0	2- 3+ 5- 23- 29+	2- 3+ 5-  2  2  2  4  8
Curve Equation t 20010s1 [1,1,1,4655,-52693] 2 20010s2 [1,1,1,-20575,-466465] 2
20010t (2 curves)	0	2- 3+ 5- 23- 29+	2- 3+ 5- -2  6  2  0  0
Curve Equation t 20010t1 [1,1,1,-26900,-1711915] 2 20010t2 [1,1,1,-430580,-108929323] 2
20010u (2 curves)	0	2- 3+ 5- 23- 29+	2- 3+ 5-  4 -6  2  0  0
Curve Equation t 20010u1 [1,1,1,-3370,73895] 2 20010u2 [1,1,1,-3270,78615] 2
20010v (2 curves)	1	2- 3- 5+ 23+ 29+	2- 3- 5+  2  0 -1 -6 -1
Curve Equation t Generators 20010v1 [1,0,0,46974,-31906620] 3 [1524:59070:1] 20010v2 [1,0,0,-6339066,-6145516404] 1 [371130:4159734:125]
20010w (4 curves)	0	2- 3- 5+ 23- 29+	2- 3- 5+  2  0  2  6  2
Curve Equation t 20010w1 [1,0,0,4249,127881] 6 20010w2 [1,0,0,-27071,1261665] 6 20010w3 [1,0,0,-41291,-5317875] 2 20010w4 [1,0,0,-772961,-261548709] 2
20010x (1 curve)	1	2- 3- 5- 23- 29+	2- 3- 5-  0  2 -3 -6 -7
Curve Equation t Generators 20010x1 [1,0,0,-1035,-12903] 1 [44:143:1]
20010y (2 curves)	1	2- 3- 5- 23- 29+	2- 3- 5-  0 -4  0  0 -4
Curve Equation t Generators 20010y1 [1,0,0,-39735,3501225] 2 [150:-1035:1] 20010y2 [1,0,0,-661815,207170217] 2 [324:5013:1]
20010z (2 curves)	1	2- 3- 5- 23- 29+	2- 3- 5-  2 -2 -4 -2 -4
Curve Equation t Generators 20010z1 [1,0,0,-4204585,1213177817] 2 [122:26435:1] 20010z2 [1,0,0,-54593065,155129828825] 2 [1322:291347:1]
20010ba (1 curve)	1	2- 3- 5- 23- 29+	2- 3- 5- -4 -2 -1 -2  5
Curve Equation t Generators 20010ba1 [1,0,0,-2595,65025] 1 [90:-795:1]
20010bb (2 curves)	1	2- 3- 5- 23- 29+	2- 3- 5- -4 -2  2  0 -2
Curve Equation t Generators 20010bb1 [1,0,0,-15935,-1935975] 2 [190:1285:1] 20010bb2 [1,0,0,-350015,-79642983] 2 [-338:445:1]
20010bc (4 curves)	0	2- 3- 5- 23- 29-	2- 3- 5-  4  0  2  2 -4
Curve Equation t 20010bc1 [1,0,0,-1790,27972] 4 20010bc2 [1,0,0,-4670,-85500] 4 20010bc3 [1,0,0,-68150,-6852468] 2 20010bc4 [1,0,0,12730,-569220] 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