Cremona's table of elliptic curves

68952 = 2³ · 3 · 13² · 17

Class	r	Atkin-Lehner	Eigenvalues
68952a (1 curve)	1	2+ 3+ 13+ 17+	2+ 3+ -1  2 -3 13+ 17+  4
Curve Equation t Generators 68952a1 [0,-1,0,9,12] 1 [-1:1:1]
68952b (2 curves)	1	2+ 3+ 13+ 17+	2+ 3+  2 -4 -6 13+ 17+ -8
Curve Equation t Generators 68952b1 [0,-1,0,-71712,-7185348] 2 [2466:121680:1] 68952b2 [0,-1,0,16168,-23741940] 2 [3002:47345:8]
68952c (1 curve)	1	2+ 3+ 13+ 17+	2+ 3+ -3  0  1 13+ 17+ -1
Curve Equation t Generators 68952c1 [0,-1,0,86303,-3826811] 1 [45:382:1]
68952d (2 curves)	0	2+ 3+ 13+ 17-	2+ 3+  0 -2  6 13+ 17-  0
Curve Equation t 68952d1 [0,-1,0,-11548,-388844] 2 68952d2 [0,-1,0,-55488,4690620] 2
68952e (1 curve)	0	2+ 3+ 13+ 17-	2+ 3+  1 -2  3 13+ 17- -4
Curve Equation t 68952e1 [0,-1,0,-9520,4101148] 1
68952f (1 curve)	0	2+ 3+ 13+ 17-	2+ 3+  1 -2 -4 13+ 17-  3
Curve Equation t 68952f1 [0,-1,0,-328865,-73575867] 1
68952g (1 curve)	0	2+ 3+ 13+ 17-	2+ 3+ -1 -2  1 13+ 17-  4
Curve Equation t 68952g1 [0,-1,0,-114976,-229378436] 1
68952h (4 curves)	0	2+ 3+ 13+ 17-	2+ 3+  2  4  4 13+ 17-  4
Curve Equation t 68952h1 [0,-1,0,-6647,553500] 2 68952h2 [0,-1,0,-149452,22259860] 4 68952h3 [0,-1,0,-193392,8146332] 2 68952h4 [0,-1,0,-2390392,1423295548] 4
68952i (4 curves)	0	2+ 3+ 13+ 17-	2+ 3+ -2  4  0 13+ 17- -4
Curve Equation t 68952i1 [0,-1,0,-75599,6974148] 4 68952i2 [0,-1,0,-319804,-62575436] 4 68952i3 [0,-1,0,427176,-312066756] 2 68952i4 [0,-1,0,-4974064,-4268164772] 2
68952j (1 curve)	0	2+ 3+ 13+ 17-	2+ 3+  3  2  4 13+ 17-  5
Curve Equation t 68952j1 [0,-1,0,-2929,2670901] 1
68952k (2 curves)	0	2+ 3+ 13+ 17-	2+ 3+  4 -2  2 13+ 17-  0
Curve Equation t 68952k1 [0,-1,0,-9351,261468] 2 68952k2 [0,-1,0,-138636,19912788] 2
68952l (1 curve)	0	2+ 3- 13+ 17+	2+ 3-  1 -2 -4 13+ 17+ -1
Curve Equation t 68952l1 [0,1,0,-28142105,-57540378453] 1
68952m (1 curve)	1	2+ 3- 13+ 17-	2+ 3-  1 -2 -1 13+ 17- -4
Curve Equation t Generators 68952m1 [0,1,0,-4255,-111058] 1 [137:-1377:1]
68952n (2 curves)	1	2+ 3- 13+ 17-	2+ 3-  2  2  0 13+ 17-  0
Curve Equation t Generators 68952n1 [0,1,0,-97907,7470282] 2 [1057:32955:1] 68952n2 [0,1,0,289948,52306320] 2 [160:10140:1]
68952o (4 curves)	1	2+ 3- 13+ 17-	2+ 3- -2  4 -4 13+ 17- -4
Curve Equation t Generators 68952o1 [0,1,0,-8844,316512] 2 [264:4056:1] 68952o2 [0,1,0,-12224,48816] 4 [-45:714:1] 68952o3 [0,1,0,48616,438192] 2 [47742:1013831:216] 68952o4 [0,1,0,-127144,-17419024] 2 [-5271:350:27]
68952p (2 curves)	1	2+ 3- 13- 17+	2+ 3-  4  2 -6 13- 17+ -2
Curve Equation t Generators 68952p1 [0,1,0,-1291,-18238] 2 [53:255:1] 68952p2 [0,1,0,-1876,-688] 2 [368:7020:1]
68952q (2 curves)	0	2- 3+ 13+ 17+	2- 3+  0 -2 -4 13+ 17+  4
Curve Equation t 68952q1 [0,-1,0,-2414728,1440071164] 2 68952q2 [0,-1,0,-1272288,2805058476] 2
68952r (1 curve)	0	2- 3+ 13+ 17+	2- 3+  1 -2  3 13+ 17+ -4
Curve Equation t 68952r1 [0,-1,0,1465,32304] 1
68952s (2 curves)	1	2- 3+ 13+ 17-	2- 3+  0 -2  2 13+ 17-  4
Curve Equation t Generators 68952s1 [0,-1,0,-22420948,-40855414172] 2 [38164:7395102:1] 68952s2 [0,-1,0,-22464888,-40687194276] 2 [7526:465256:1]
68952t (1 curve)	1	2- 3+ 13+ 17-	2- 3+  1  2 -1 13+ 17- -4
Curve Equation t Generators 68952t1 [0,-1,0,-680,-104196] 1 [108230:3181144:125]
68952u (1 curve)	1	2- 3+ 13+ 17-	2- 3+ -1  2 -3 13+ 17-  4
Curve Equation t Generators 68952u1 [0,-1,0,-56,1884] 1 [22:104:1]
68952v (1 curve)	1	2- 3+ 13+ 17-	2- 3+ -1  2  4 13+ 17- -3
Curve Equation t Generators 68952v1 [0,-1,0,-55578241,-161868492683] 1 [2620969009471811370038574617814829351510216311383015510236677:1267520924957171196503272543394475198905576435420081090724530798:11195086292389136576475002114642453299896808555699671127]
68952w (2 curves)	1	2- 3+ 13+ 17-	2- 3+ -2  2 -4 13+ 17-  8
Curve Equation t Generators 68952w1 [0,-1,0,2141,8644] 2 [9:169:1] 68952w2 [0,-1,0,-8844,78948] 2 [-4:338:1]
68952x (1 curve)	1	2- 3+ 13+ 17-	2- 3+ -3 -2 -4 13+ 17- -5
Curve Equation t Generators 68952x1 [0,-1,0,-17,1221] 1 [-5:34:1]
68952y (2 curves)	1	2- 3- 13+ 17+	2- 3-  0 -2  0 13+ 17+ -4
Curve Equation t Generators 68952y1 [0,1,0,-8168,-283776] 2 [890:3549:8] 68952y2 [0,1,0,-1408,-732640] 2 [3427:200634:1]
68952z (1 curve)	1	2- 3- 13+ 17+	2- 3- -1  2  4 13+ 17+  1
Curve Equation t Generators 68952z1 [0,1,0,-166521,-26241669] 1 [1113:34182:1]
68952ba (2 curves)	0	2- 3- 13+ 17-	2- 3-  0 -2  2 13+ 17-  4
Curve Equation t 68952ba1 [0,1,0,-6778308,-6680450880] 2 68952ba2 [0,1,0,-14204168,10571307072] 2
68952bb (2 curves)	0	2- 3- 13+ 17-	2- 3-  0 -2  2 13+ 17-  4
Curve Equation t 68952bb1 [0,1,0,-132383,-18333990] 2 68952bb2 [0,1,0,-261668,23192352] 2
68952bc (2 curves)	0	2- 3- 13+ 17-	2- 3-  0  4  2 13+ 17- -8
Curve Equation t 68952bc1 [0,1,0,-74923,28443182] 2 68952bc2 [0,1,0,-1931388,1030191696] 2
68952bd (1 curve)	0	2- 3- 13+ 17-	2- 3- -1  2  1 13+ 17-  4
Curve Equation t 68952bd1 [0,1,0,-719151,-241117902] 1
68952be (1 curve)	0	2- 3- 13+ 17-	2- 3-  3  4 -1 13+ 17-  7
Curve Equation t 68952be1 [0,1,0,-2929,123683] 1
68952bf (2 curves)	0	2- 3- 13- 17+	2- 3- -4 -2  6 13- 17+  2
Curve Equation t 68952bf1 [0,1,0,-218235,-39196026] 2 68952bf2 [0,1,0,-317100,-243216] 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
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