Cremona's table of elliptic curves

6417 = 3² · 23 · 31

Class	r	Atkin-Lehner	Eigenvalues
6417a (1 curve)	1	3+ 23+ 31+	-1 3+  1 -3  5 -2  8 -4
Curve Equation t Generators 6417a1 [1,-1,1,-137,622] 1 [10:8:1]
6417b (2 curves)	0	3+ 23+ 31-	0 3+ -3  2  0 -4  6  2
Curve Equation t 6417b1 [0,0,1,66,15] 3 6417b2 [0,0,1,-864,-10618] 1
6417c (1 curve)	0	3+ 23+ 31-	-1 3+  3  3  1  2  0 -4
Curve Equation t 6417c1 [1,-1,1,-641,-6082] 1
6417d (1 curve)	2	3+ 23- 31+	1 3+ -1 -3 -5 -2 -8 -4
Curve Equation t Generators 6417d1 [1,-1,0,-15,-18] 1 [-2:2:1]&[6:6:1]
6417e (2 curves)	1	3+ 23- 31-	0 3+  3  2  0 -4 -6  2
Curve Equation t Generators 6417e1 [0,0,1,-96,393] 3 [233:3553:1] 6417e2 [0,0,1,594,-412] 1 [114:833:8]
6417f (1 curve)	1	3+ 23- 31-	1 3+ -3  3 -1  2  0 -4
Curve Equation t Generators 6417f1 [1,-1,0,-5766,169973] 1 [44:-21:1]
6417g (1 curve)	1	3- 23+ 31-	-1 3-  0 -3  4  2 -3 -4
Curve Equation t Generators 6417g1 [1,-1,1,-5,-34] 1 [4:-2:1]
6417h (6 curves)	1	3- 23- 31+	1 3-  2  0  4 -2 -2 -4
Curve Equation t Generators 6417h1 [1,-1,0,-97461,-11686680] 2 [-10210038295651897257724904160:5097268944258202580485862315:56726915059100800525565952] 6417h2 [1,-1,0,-97506,-11675313] 4 [-45314469226992:-9535865244709:248620879872] 6417h3 [1,-1,0,-130311,-3113208] 4 [-4319976:38783003:13824] 6417h4 [1,-1,0,-65421,-19510470] 2 [7910827113361317931447440:-167659690232275473606724525:13311163302861395202048] 6417h5 [1,-1,0,-1297926,566449389] 4 [-9330:182271:8] 6417h6 [1,-1,0,512424,-25094745] 2 [326550346514136030:-26062569974914968435:52591067510696]
6417i (2 curves)	1	3- 23- 31+	-1 3-  0  0  0  6  2 -4
Curve Equation t Generators 6417i1 [1,-1,1,-275,1914] 2 [8:9:1] 6417i2 [1,-1,1,-4460,115746] 2 [-13:420:1]
6417j (1 curve)	1	3- 23- 31+	-1 3- -3  3  3 -6  2 -4
Curve Equation t Generators 6417j1 [1,-1,1,-24854,-1233966] 1 [248:2670:1]
6417k (1 curve)	1	3- 23- 31+	2 3- -3  4  2  0 -4 -4
Curve Equation t Generators 6417k1 [0,0,1,-23349,1373355] 1 [706:77:8]
6417l (1 curve)	1	3- 23- 31+	-2 3- -1  0 -2  4  4  8
Curve Equation t Generators 6417l1 [0,0,1,-3,180] 1 [-1:13:1]
6417m (2 curves)	0	3- 23- 31-	-1 3-  2  2  0 -2  4  6
Curve Equation t 6417m1 [1,-1,1,256,-790] 2 6417m2 [1,-1,1,-1139,-5812] 2

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