Cremona's table of elliptic curves

13328 = 2⁴ · 7² · 17

Class	r	Atkin-Lehner	Eigenvalues
13328a (1 curve)	1	2+ 7+ 17+	2+  3  2 7+ -5 -7 17+ -2
Curve Equation t Generators 13328a1 [0,0,0,-4459,-283318] 1 [13377:294686:27]
13328b (1 curve)	2	2+ 7+ 17-	2+  0 -1 7+ -2 -4 17- -5
Curve Equation t Generators 13328b1 [0,0,0,-5243,146314] 1 [-63:476:1]&[39:34:1]
13328c (1 curve)	0	2+ 7- 17+	2+  0  1 7- -2  4 17+  5
Curve Equation t 13328c1 [0,0,0,-256907,-50185702] 1
13328d (2 curves)	0	2+ 7- 17+	2+ -2  2 7-  6 -2 17+  0
Curve Equation t 13328d1 [0,1,0,-212,412] 2 13328d2 [0,1,0,768,3940] 2
13328e (2 curves)	1	2+ 7- 17-	2+  2  0 7- -2  6 17-  4
Curve Equation t Generators 13328e1 [0,-1,0,-408,-2176] 2 [56:384:1] 13328e2 [0,-1,0,-2368,43296] 2 [-30:294:1]
13328f (1 curve)	1	2+ 7- 17-	2+ -3 -2 7- -5  7 17-  2
Curve Equation t Generators 13328f1 [0,0,0,-91,826] 1 [11:-34:1]
13328g (1 curve)	0	2- 7+ 17+	2-  1  0 7+  5 -5 17+  6
Curve Equation t 13328g1 [0,1,0,572,5704] 1
13328h (1 curve)	0	2- 7+ 17+	2-  1 -2 7+  1  5 17+ -6
Curve Equation t 13328h1 [0,1,0,-3544,100372] 1
13328i (1 curve)	0	2- 7+ 17+	2- -1 -4 7+  3 -5 17+ -6
Curve Equation t 13328i1 [0,-1,0,-213460,-53246164] 1
13328j (2 curves)	0	2- 7+ 17+	2-  2  3 7+  0  2 17+  7
Curve Equation t 13328j1 [0,-1,0,-3544,-90768] 1 13328j2 [0,-1,0,23896,348272] 1
13328k (1 curve)	0	2- 7+ 17+	2-  3  4 7+ -1  3 17+  2
Curve Equation t 13328k1 [0,0,0,-343,2450] 1
13328l (1 curve)	0	2- 7+ 17+	2- -3 -2 7+  5 -3 17+  2
Curve Equation t 13328l1 [0,0,0,-24451,-5304446] 1
13328m (1 curve)	1	2- 7+ 17-	2-  0 -1 7+  6  4 17- -1
Curve Equation t Generators 13328m1 [0,0,0,6517,2751546] 1 [-542:11311:8]
13328n (1 curve)	1	2- 7- 17+	2-  0  1 7-  6 -4 17+  1
Curve Equation t Generators 13328n1 [0,0,0,133,-8022] 1 [74:638:1]
13328o (4 curves)	1	2- 7- 17+	2-  0  2 7-  0  2 17+ -4
Curve Equation t Generators 13328o1 [0,0,0,-539,2058] 2 [29:104:1] 13328o2 [0,0,0,-4459,-113190] 4 [127:1170:1] 13328o3 [0,0,0,-71099,-7296982] 2 [49195:633438:125] 13328o4 [0,0,0,-539,-305270] 2 [89055:878410:729]
13328p (4 curves)	1	2- 7- 17+	2-  0 -2 7-  0  2 17+  4
Curve Equation t Generators 13328p1 [0,0,0,-14651,671594] 2 [109:608:1] 13328p2 [0,0,0,-30331,-1018710] 4 [207:1254:1] 13328p3 [0,0,0,-414491,-102667446] 2 [17829:2379048:1] 13328p4 [0,0,0,102949,-7549430] 2 [128909:2428770:1331]
13328q (2 curves)	0	2- 7- 17-	2-  0  2 7-  2  0 17- -2
Curve Equation t 13328q1 [0,0,0,1421,10290] 2 13328q2 [0,0,0,-6419,87122] 2
13328r (1 curve)	0	2- 7- 17-	2-  1  4 7-  3  5 17-  6
Curve Equation t 13328r1 [0,1,0,-4356,153992] 1
13328s (1 curve)	0	2- 7- 17-	2- -1  0 7-  5  5 17- -6
Curve Equation t 13328s1 [0,-1,0,12,-20] 1
13328t (1 curve)	0	2- 7- 17-	2- -1  2 7-  1 -5 17-  6
Curve Equation t 13328t1 [0,-1,0,-72,-272] 1
13328u (2 curves)	0	2- 7- 17-	2-  2  0 7-  2  2 17-  0
Curve Equation t 13328u1 [0,-1,0,-14128,-638784] 2 13328u2 [0,-1,0,-21968,157760] 2
13328v (2 curves)	0	2- 7- 17-	2-  2 -4 7-  4  4 17- -6
Curve Equation t 13328v1 [0,-1,0,24680,-297744] 2 13328v2 [0,-1,0,-100760,-2304784] 2
13328w (4 curves)	2	2- 7- 17-	2- -2  0 7- -6 -2 17- -4
Curve Equation t Generators 13328w1 [0,1,0,-2368,26676] 2 [-36:258:1]&[-5:196:1] 13328w2 [0,1,0,-33728,2372404] 2 [-12:1666:1]&[58:784:1] 13328w3 [0,1,0,-80768,-8860748] 2 [-164:34:1]&[346:2176:1] 13328w4 [0,1,0,-88608,-7045004] 2 [-145:1666:1]&[-110:1176:1]
13328x (2 curves)	2	2- 7- 17-	2- -2 -3 7-  0 -2 17- -7
Curve Equation t Generators 13328x1 [0,1,0,-72,244] 1 [-10:8:1]&[3:8:1] 13328x2 [0,1,0,488,-876] 1 [38:-272:1]&[60:498:1]
13328y (2 curves)	0	2- 7- 17-	2- -2  4 7-  6  2 17-  0
Curve Equation t 13328y1 [0,1,0,-47056,445332] 2 13328y2 [0,1,0,-548816,155990932] 2
13328z (1 curve)	0	2- 7- 17-	2-  3  2 7-  5  3 17- -2
Curve Equation t 13328z1 [0,0,0,-1198099,1819424978] 1
13328ba (1 curve)	0	2- 7- 17-	2- -3 -4 7- -1 -3 17- -2
Curve Equation t 13328ba1 [0,0,0,-16807,-840350] 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