Cremona's table of elliptic curves

20826 = 2 · 3² · 13 · 89

Class	r	Atkin-Lehner	Eigenvalues
20826a (1 curve)	1	2+ 3+ 13+ 89+	2+ 3+  3  1  5 13+  2 -1
Curve Equation t Generators 20826a1 [1,-1,0,-6873,-247123] 1 [113806:1940665:343]
20826b (1 curve)	2	2+ 3+ 13+ 89-	2+ 3+ -2  1 -4 13+ -6  0
Curve Equation t Generators 20826b1 [1,-1,0,-48,-1066] 1 [13:13:1]&[55:373:1]
20826c (1 curve)	0	2+ 3+ 13+ 89-	2+ 3+  3  1  1 13+  4  5
Curve Equation t 20826c1 [1,-1,0,-40356273,-98701588323] 1
20826d (1 curve)	0	2+ 3+ 13+ 89-	2+ 3+  4 -3  6 13+  0  6
Curve Equation t 20826d1 [1,-1,0,-2850,-100972] 1
20826e (2 curves)	0	2+ 3+ 13- 89+	2+ 3+  3 -1 -3 13-  6  5
Curve Equation t 20826e1 [1,-1,0,-4188,105372] 3 20826e2 [1,-1,0,-2823,174077] 1
20826f (1 curve)	1	2+ 3+ 13- 89-	2+ 3+ -1  3 -3 13-  8 -5
Curve Equation t Generators 20826f1 [1,-1,0,509340,136576592] 1 [283864:11359636:343]
20826g (1 curve)	1	2+ 3+ 13- 89-	2+ 3+ -1 -3  3 13- -4  1
Curve Equation t Generators 20826g1 [1,-1,0,-1365,-51211] 1 [202:2707:1]
20826h (2 curves)	1	2+ 3+ 13- 89-	2+ 3+  2  0  0 13- -4 -2
Curve Equation t Generators 20826h1 [1,-1,0,-24396,-1715248] 2 [1958:20081:8] 20826h2 [1,-1,0,-408876,-100526608] 2 [326274:11115923:216]
20826i (4 curves)	0	2+ 3- 13+ 89+	2+ 3-  2  0 -4 13+  6  4
Curve Equation t 20826i1 [1,-1,0,459,2997] 2 20826i2 [1,-1,0,-2421,28917] 4 20826i3 [1,-1,0,-16461,-788211] 2 20826i4 [1,-1,0,-34461,2470365] 2
20826j (1 curve)	1	2+ 3- 13+ 89-	2+ 3-  0  1  4 13+  4 -4
Curve Equation t Generators 20826j1 [1,-1,0,-297,-140211] 1 [565:13127:1]
20826k (1 curve)	1	2+ 3- 13+ 89-	2+ 3-  1  4  2 13+ -3  3
Curve Equation t Generators 20826k1 [1,-1,0,-2132349,3249696581] 1 [8195130:858413539:729]
20826l (1 curve)	1	2+ 3- 13+ 89-	2+ 3- -3  1 -2 13+ -5  2
Curve Equation t Generators 20826l1 [1,-1,0,4014,36828] 1 [73:809:1]
20826m (1 curve)	1	2+ 3- 13+ 89-	2+ 3- -3  1  3 13+  0  7
Curve Equation t Generators 20826m1 [1,-1,0,-111276,-14259524] 1 [2006:87494:1]
20826n (1 curve)	1	2+ 3- 13+ 89-	2+ 3- -3  5 -1 13+ -4 -1
Curve Equation t Generators 20826n1 [1,-1,0,54,-32] 1 [2:8:1]
20826o (1 curve)	2	2+ 3- 13- 89-	2+ 3-  0 -3  0 13- -4 -8
Curve Equation t Generators 20826o1 [1,-1,0,63,85] 1 [-1:5:1]&[5:20:1]
20826p (3 curves)	0	2+ 3- 13- 89-	2+ 3-  3 -1 -3 13-  0 -7
Curve Equation t 20826p1 [1,-1,0,-1891593,-1001735667] 1 20826p2 [1,-1,0,2229687,-4490251443] 3 20826p3 [1,-1,0,-20311533,129729900753] 3
20826q (1 curve)	0	2- 3+ 13+ 89+	2- 3+  2  1  4 13+  6  0
Curve Equation t 20826q1 [1,-1,1,-434,29215] 1
20826r (1 curve)	0	2- 3+ 13+ 89+	2- 3+ -3  1 -1 13+ -4  5
Curve Equation t 20826r1 [1,-1,1,-363206459,2665306091179] 1
20826s (1 curve)	2	2- 3+ 13+ 89+	2- 3+ -4 -3 -6 13+  0  6
Curve Equation t Generators 20826s1 [1,-1,1,-317,3845] 1 [-21:40:1]&[15:-56:1]
20826t (1 curve)	1	2- 3+ 13+ 89-	2- 3+ -3  1 -5 13+ -2 -1
Curve Equation t Generators 20826t1 [1,-1,1,-764,9407] 1 [21:-59:1]
20826u (1 curve)	1	2- 3+ 13- 89+	2- 3+  1  3  3 13- -8 -5
Curve Equation t Generators 20826u1 [1,-1,1,56593,-5077257] 1 [947:29478:1]
20826v (1 curve)	1	2- 3+ 13- 89+	2- 3+  1 -3 -3 13-  4  1
Curve Equation t Generators 20826v1 [1,-1,1,-152,1947] 1 [11:-45:1]
20826w (2 curves)	1	2- 3+ 13- 89+	2- 3+ -2  0  0 13-  4 -2
Curve Equation t Generators 20826w1 [1,-1,1,-2711,64431] 2 [-13:318:1] 20826w2 [1,-1,1,-45431,3738351] 2 [113:138:1]
20826x (2 curves)	0	2- 3+ 13- 89-	2- 3+ -3 -1  3 13- -6  5
Curve Equation t 20826x1 [1,-1,1,-314,-6343] 3 20826x2 [1,-1,1,-37694,-2807351] 1
20826y (1 curve)	1	2- 3- 13+ 89+	2- 3-  0  1  0 13+ -4  0
Curve Equation t Generators 20826y1 [1,-1,1,-18140,-935827] 1 [248092166918:4620555079271:596947688]
20826z (1 curve)	1	2- 3- 13+ 89+	2- 3-  1  1 -1 13+  4 -5
Curve Equation t Generators 20826z1 [1,-1,1,-1427,21107] 1 [21:-2:1]
20826ba (1 curve)	1	2- 3- 13+ 89+	2- 3- -1 -3 -3 13+  0 -3
Curve Equation t Generators 20826ba1 [1,-1,1,-4568,-153637] 1 [213:2809:1]
20826bb (1 curve)	1	2- 3- 13+ 89+	2- 3- -1 -3  5 13+  0  7
Curve Equation t Generators 20826bb1 [1,-1,1,-1643,-30085] 1 [57:214:1]
20826bc (1 curve)	1	2- 3- 13+ 89+	2- 3-  3  1 -3 13+ -4 -3
Curve Equation t Generators 20826bc1 [1,-1,1,49,263] 1 [-3:10:1]
20826bd (1 curve)	1	2- 3- 13+ 89+	2- 3- -3 -3 -1 13+  0 -1
Curve Equation t Generators 20826bd1 [1,-1,1,796,-20473] 1 [45:301:1]
20826be (1 curve)	0	2- 3- 13- 89+	2- 3-  1  3  0 13-  7  4
Curve Equation t 20826be1 [1,-1,1,58,7647] 1
20826bf (1 curve)	0	2- 3- 13- 89+	2- 3-  1  3  3 13-  4  1
Curve Equation t 20826bf1 [1,-1,1,-527,-7437] 1
20826bg (1 curve)	2	2- 3- 13- 89+	2- 3- -2 -3 -6 13- -2 -2
Curve Equation t Generators 20826bg1 [1,-1,1,-2966,65157] 1 [-51:311:1]&[-25:363:1]
20826bh (1 curve)	1	2- 3- 13- 89-	2- 3- -3  0  2 13- -7  5
Curve Equation t Generators 20826bh1 [1,-1,1,-659,6679] 1 [11:20:1]

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