Cremona's table of elliptic curves

51350 = 2 · 5² · 13 · 79

Class	r	Atkin-Lehner	Eigenvalues
51350a (1 curve)	1	2+ 5+ 13+ 79+	2+ -1 5+ -4  2 13+ -2  8
Curve Equation t Generators 51350a1 [1,1,0,-4110,-237260] 1 [24405:305264:125]
51350b (2 curves)	0	2+ 5+ 13+ 79-	2+  2 5+  1  3 13+  3 -4
Curve Equation t 51350b1 [1,1,0,-2925,82205] 1 51350b2 [1,1,0,23075,-1042035] 1
51350c (1 curve)	0	2+ 5+ 13+ 79-	2+  2 5+ -2  1 13+  3  3
Curve Equation t 51350c1 [1,1,0,-650,16250] 1
51350d (2 curves)	2	2+ 5+ 13- 79+	2+  0 5+ -2  0 13-  0 -4
Curve Equation t Generators 51350d1 [1,-1,0,-901292,329617616] 2 [-251:23363:1]&[529:-1077:1] 51350d2 [1,-1,0,-14421292,21082817616] 2 [-33650:700807:8]&[1699:37663:1]
51350e (1 curve)	2	2+ 5+ 13- 79+	2+  0 5+ -5  0 13-  0 -4
Curve Equation t Generators 51350e1 [1,-1,0,-2,16] 1 [-2:4:1]&[0:4:1]
51350f (2 curves)	1	2+ 5+ 13- 79-	2+  0 5+  0 -2 13-  0  6
Curve Equation t Generators 51350f1 [1,-1,0,-145667,-21339259] 2 [674:13313:1] 51350f2 [1,-1,0,-185167,-8817759] 2 [664:12343:1]
51350g (1 curve)	1	2+ 5+ 13- 79-	2+  0 5+ -1 -5 13- -6  0
Curve Equation t Generators 51350g1 [1,-1,0,1058,-1378284] 1 [870:513:8]
51350h (2 curves)	1	2+ 5+ 13- 79-	2+  0 5+ -2  0 13-  6  0
Curve Equation t Generators 51350h1 [1,-1,0,-392,-3984] 2 [44:228:1] 51350h2 [1,-1,0,-6892,-218484] 2 [109:508:1]
51350i (1 curve)	1	2+ 5+ 13- 79-	2+  0 5+  3 -5 13-  6  0
Curve Equation t Generators 51350i1 [1,-1,0,-29003392,60127574016] 1 [388655:-190486:125]
51350j (1 curve)	1	2+ 5+ 13- 79-	2+ -1 5+ -2 -5 13- -7 -5
Curve Equation t Generators 51350j1 [1,1,0,495,1855] 1 [61:-544:1]
51350k (2 curves)	1	2+ 5+ 13- 79-	2+  2 5+ -2  4 13-  2  4
Curve Equation t Generators 51350k1 [1,1,0,11850,2172500] 2 [-30205:246665:343] 51350k2 [1,1,0,-196150,31084500] 2 [31453905:1802780860:9261]
51350l (1 curve)	1	2+ 5- 13+ 79-	2+  0 5- -2  3 13+ -3 -3
Curve Equation t Generators 51350l1 [1,-1,0,-2117,-37459] 1 [919:27353:1]
51350m (2 curves)	1	2+ 5- 13+ 79-	2+  0 5-  4 -6 13+  0 -6
Curve Equation t Generators 51350m1 [1,-1,0,-11861957,-7863421099] 2 [-25141515:621668144:9261] 51350m2 [1,-1,0,-91746757,332845250901] 2 [33517722775215:-7020706801739632:736314327]
51350n (2 curves)	0	2+ 5- 13- 79-	2+  0 5-  4  0 13- -6  0
Curve Equation t 51350n1 [1,-1,0,-6617,-201959] 2 51350n2 [1,-1,0,-105367,-13138209] 2
51350o (2 curves)	2	2+ 5- 13- 79-	2+ -2 5- -1  0 13-  0  2
Curve Equation t Generators 51350o1 [1,0,1,-244951,46683798] 3 [277:-464:1]&[278:49311:8] 51350o2 [1,0,1,298174,211102548] 1 [-427:2657:1]&[-24:14292:1]
51350p (1 curve)	0	2- 5+ 13+ 79+	2-  1 5+ -3  4 13+  1  6
Curve Equation t 51350p1 [1,0,0,-803838,-277463458] 1
51350q (1 curve)	1	2- 5+ 13+ 79-	2-  0 5+ -1 -3 13+ -2  0
Curve Equation t Generators 51350q1 [1,-1,1,645,-12853] 1 [15:-2:1]
51350r (1 curve)	1	2- 5+ 13+ 79-	2-  1 5+  1  0 13+  1 -2
Curve Equation t Generators 51350r1 [1,0,0,-68413,-14807183] 1 [918:25927:1]
51350s (2 curves)	1	2- 5+ 13+ 79-	2-  2 5+  1  0 13+  0  2
Curve Equation t Generators 51350s1 [1,1,1,-9798,369551] 1 [558:1139:8] 51350s2 [1,1,1,11927,1693591] 1 [-562:6019:8]
51350t (2 curves)	1	2- 5+ 13+ 79-	2-  2 5+ -2  4 13+ -6  4
Curve Equation t Generators 51350t1 [1,1,1,-2438,-121469] 2 [245:3627:1] 51350t2 [1,1,1,-54438,-4905469] 2 [8175:64649:27]
51350u (1 curve)	1	2- 5+ 13+ 79-	2- -2 5+ -2  3 13+  1  1
Curve Equation t Generators 51350u1 [1,0,0,-83188,9358992] 1 [-88:4044:1]
51350v (1 curve)	1	2- 5- 13+ 79+	2-  0 5-  5  0 13+  0 -4
Curve Equation t Generators 51350v1 [1,-1,1,-55,1947] 1 [30:319:8]
51350w (2 curves)	0	2- 5- 13+ 79-	2-  0 5- -4  0 13+  6  0
Curve Equation t 51350w1 [1,-1,1,-265,-1563] 2 51350w2 [1,-1,1,-4215,-104263] 2
51350x (1 curve)	0	2- 5- 13+ 79-	2-  1 5-  2 -5 13+  7 -5
Curve Equation t 51350x1 [1,0,0,12362,207142] 1
51350y (1 curve)	0	2- 5- 13- 79+	2-  1 5-  4  2 13-  2  8
Curve Equation t 51350y1 [1,0,0,-102763,-29451983] 1
51350z (1 curve)	1	2- 5- 13- 79-	2-  0 5-  2  3 13-  3 -3
Curve Equation t Generators 51350z1 [1,-1,1,-85,-283] 1 [29:130:1]
51350ba (2 curves)	1	2- 5- 13- 79-	2-  0 5- -4 -6 13-  0 -6
Curve Equation t Generators 51350ba1 [1,-1,1,-296548930,-983224186303] 2 [-3855:322351:1] 51350ba2 [1,-1,1,-2293668930,41603362693697] 2 [843915:-18472523:27]
51350bb (2 curves)	1	2- 5- 13- 79-	2- -2 5- -1  3 13- -3 -4
Curve Equation t Generators 51350bb1 [1,0,0,-73138,10421892] 3 [202:1874:1] 51350bb2 [1,0,0,576862,-131408108] 1 [14502:-500290:27]

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