Cremona's table of elliptic curves

51376 = 2⁴ · 13² · 19

Class	r	Atkin-Lehner	Eigenvalues
51376a (1 curve)	1	2+ 13+ 19+	2+  0  1 -4  0 13+ -5 19+
Curve Equation t Generators 51376a1 [0,0,0,-3056027,-2066616838] 1 [2082093779939:58078175985842:865523177]
51376b (1 curve)	1	2+ 13+ 19+	2+  0 -2  2 -6 13+  1 19+
Curve Equation t Generators 51376b1 [0,0,0,169,-6591] 1 [130:169:8]
51376c (1 curve)	1	2+ 13+ 19+	2+  2  1 -3 -3 13+  5 19+
Curve Equation t Generators 51376c1 [0,-1,0,-225,-7411] 1 [671132:2536521:21952]
51376d (1 curve)	0	2+ 13+ 19-	2+  0 -1  4  0 13+ -5 19-
Curve Equation t 51376d1 [0,0,0,-18083,-940654] 1
51376e (1 curve)	0	2+ 13+ 19-	2+ -1  0  3  2 13+ -5 19-
Curve Equation t 51376e1 [0,-1,0,-1408,29600] 1
51376f (1 curve)	2	2+ 13+ 19-	2+ -2  0 -2 -4 13+ -3 19-
Curve Equation t Generators 51376f1 [0,1,0,-1408,20931] 1 [-35:169:1]&[29:73:1]
51376g (1 curve)	2	2+ 13- 19+	2+ -1  1 -1 -2 13- -7 19+
Curve Equation t Generators 51376g1 [0,-1,0,-160,2144] 1 [-14:38:1]&[-4:52:1]
51376h (2 curves)	0	2+ 13- 19+	2+  2 -2 -2  0 13- -6 19+
Curve Equation t 51376h1 [0,-1,0,8056,629888] 2 51376h2 [0,-1,0,-79824,7589984] 2
51376i (1 curve)	0	2+ 13- 19+	2+  2  4 -4 -2 13- -7 19+
Curve Equation t 51376i1 [0,-1,0,-27096,-1709917] 1
51376j (1 curve)	1	2+ 13- 19-	2+ -1 -1  1  2 13- -7 19-
Curve Equation t Generators 51376j1 [0,-1,0,-27096,4602064] 1 [282:4394:1]
51376k (2 curves)	1	2+ 13- 19-	2+  2  2  2  0 13- -6 19-
Curve Equation t Generators 51376k1 [0,-1,0,48,272] 2 [192:820:27] 51376k2 [0,-1,0,-472,3600] 2 [0:60:1]
51376l (1 curve)	1	2+ 13- 19-	2+  2 -4  4  2 13- -7 19-
Curve Equation t Generators 51376l1 [0,-1,0,-160,-729] 1 [2916:18603:64]
51376m (1 curve)	2	2- 13+ 19+	2-  1  1 -3 -4 13+ -3 19+
Curve Equation t Generators 51376m1 [0,1,0,-2706760,-1799597708] 1 [1932:13642:1]&[2526:86528:1]
51376n (1 curve)	2	2- 13+ 19+	2-  1 -1 -1  0 13+ -3 19+
Curve Equation t Generators 51376n1 [0,1,0,33744,-1075372] 1 [31:38:1]&[316:6422:1]
51376o (2 curves)	0	2- 13+ 19+	2-  1  4  3  2 13+  3 19+
Curve Equation t 51376o1 [0,1,0,-56,-166828] 1 51376o2 [0,1,0,-189336,35039252] 1
51376p (1 curve)	2	2- 13+ 19+	2- -2  1 -3  5 13+ -3 19+
Curve Equation t Generators 51376p1 [0,1,0,-3605,82447] 1 [-9:338:1]&[31:38:1]
51376q (1 curve)	0	2- 13+ 19+	2- -2 -3  0  6 13+  7 19+
Curve Equation t 51376q1 [0,1,0,-132552,19696756] 1
51376r (1 curve)	2	2- 13+ 19+	2- -2 -4  2  0 13+ -3 19+
Curve Equation t Generators 51376r1 [0,1,0,19210,465739] 1 [511:11999:1]&[927:28561:1]
51376s (1 curve)	1	2- 13+ 19-	2-  0 -2 -2 -2 13+ -7 19-
Curve Equation t Generators 51376s1 [0,0,0,-61220081,-362938057261] 1 [1484210:638703221:8]
51376t (4 curves)	1	2- 13+ 19-	2-  0 -2  4  4 13+  2 19-
Curve Equation t Generators 51376t1 [0,0,0,10309,-136214] 2 [17355:249106:125] 51376t2 [0,0,0,-43771,-1120470] 4 [-135235:1238160:4913] 51376t3 [0,0,0,-395291,94844490] 4 [101:7480:1] 51376t4 [0,0,0,-557531,-160077814] 2 [-651601235123:247116784530:1477648619]
51376u (1 curve)	1	2- 13+ 19-	2-  0  3  3  3 13+ -7 19-
Curve Equation t Generators 51376u1 [0,0,0,2704,-79092] 1 [302:5318:1]
51376v (3 curves)	1	2- 13+ 19-	2- -1  0 -1 -6 13+  3 19-
Curve Equation t Generators 51376v1 [0,-1,0,-41968,-3296320] 1 [760:20080:1] 51376v2 [0,-1,0,25632,-12587264] 1 [528:12160:1] 51376v3 [0,-1,0,-231248,344373184] 1 [152712:6225920:343]
51376w (2 curves)	1	2- 13+ 19-	2-  2  0  2  0 13+ -3 19-
Curve Equation t Generators 51376w1 [0,-1,0,-3098,143675] 1 [25:285:1] 51376w2 [0,-1,0,-324198,71158151] 1 [112679:6495:343]
51376x (3 curves)	1	2- 13+ 19-	2-  2 -3 -1  3 13+ -3 19-
Curve Equation t Generators 51376x1 [0,-1,0,1803,701] 1 [290:34983:1000] 51376x2 [0,-1,0,-25237,1650141] 1 [1242:9633:8] 51376x3 [0,-1,0,-2080277,1155555101] 1 [2289686:189111:2744]
51376y (1 curve)	1	2- 13+ 19-	2- -2  3  0 -6 13+  7 19-
Curve Equation t Generators 51376y1 [0,1,0,-784,8724] 1 [20:38:1]
51376z (1 curve)	1	2- 13+ 19-	2- -3  3  3  0 13+  5 19-
Curve Equation t Generators 51376z1 [0,0,0,-165451,25911418] 1 [247:338:1]
51376ba (1 curve)	1	2- 13- 19+	2- -1  3  1  2 13-  1 19+
Curve Equation t Generators 51376ba1 [0,-1,0,-46216824,1123309048432] 1 [-77442:29972006:27]
51376bb (1 curve)	1	2- 13- 19+	2-  2  0  4  2 13-  1 19+
Curve Equation t Generators 51376bb1 [0,-1,0,22,-1] 1 [4:39:64]
51376bc (1 curve)	0	2- 13- 19-	2- -1 -3 -1 -2 13-  1 19-
Curve Equation t 51376bc1 [0,-1,0,-273472,511376384] 1
51376bd (1 curve)	0	2- 13- 19-	2-  2  0 -4 -2 13-  1 19-
Curve Equation t 51376bd1 [0,-1,0,3662,12531] 1

Data from Elliptic Curve Data by J. E. Cremona.
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