Cremona's table of elliptic curves

6279 = 3 · 7 · 13 · 23

Class	r	Atkin-Lehner	Eigenvalues
6279a (1 curve)	2	3+ 7+ 13+ 23-	-2 3+  0 7+ -3 13+ -5 -6
Curve Equation t Generators 6279a1 [0,-1,1,-8,-4] 1 [-2:0:1]&[-1:1:1]
6279b (1 curve)	1	3+ 7- 13+ 23-	-2 3+  0 7- -5 13+  1 -2
Curve Equation t Generators 6279b1 [0,-1,1,-205338,-5153938] 1 [4980:349933:1]
6279c (1 curve)	1	3+ 7- 13- 23+	0 3+  2 7-  3 13- -4 -1
Curve Equation t Generators 6279c1 [0,-1,1,13,-127] 1 [13:45:1]
6279d (1 curve)	1	3+ 7- 13- 23+	0 3+ -2 7- -3 13- -1 -2
Curve Equation t Generators 6279d1 [0,-1,1,-189,911] 1 [27:121:1]
6279e (4 curves)	1	3+ 7- 13- 23+	1 3+ -2 7-  0 13-  2 -4
Curve Equation t Generators 6279e1 [1,1,0,-8241,284544] 2 [116:894:1] 6279e2 [1,1,0,-8246,284175] 4 [-58:785:1] 6279e3 [1,1,0,-11431,40204] 2 [3358:64975:8] 6279e4 [1,1,0,-5141,504630] 4 [162:1908:1]
6279f (1 curve)	1	3+ 7- 13- 23+	-2 3+  4 7-  3 13- -4 -7
Curve Equation t Generators 6279f1 [0,-1,1,102654,46190864] 1 [-133:5492:1]
6279g (1 curve)	2	3+ 7- 13- 23-	-2 3+ -4 7- -5 13- -1 -6
Curve Equation t Generators 6279g1 [0,-1,1,-9380,303122] 1 [2089993105:-40812293203:5177717]&[-18:682:1]
6279h (2 curves)	1	3- 7+ 13+ 23-	1 3-  2 7+  2 13+  0 -4
Curve Equation t Generators 6279h1 [1,0,1,10,-61] 2 [78:209:8] 6279h2 [1,0,1,-185,-919] 2 [3354:-805:216]
6279i (6 curves)	1	3- 7+ 13- 23+	-1 3- -2 7+ -4 13-  2  4
Curve Equation t Generators 6279i1 [1,0,0,1781,134840] 4 [-37:155:1] 6279i2 [1,0,0,-31024,1965359] 8 [74:239:1] 6279i3 [1,0,0,-99469,-9738736] 4 [512:8324:1] 6279i4 [1,0,0,-487459,130953890] 8 [6413:507440:1] 6279i5 [1,0,0,-1504054,-710064817] 2 [18502:714439:8] 6279i6 [1,0,0,209996,-58200955] 2 [26420:623195:64]
6279j (1 curve)	1	3- 7+ 13- 23+	-2 3-  0 7+  3 13-  0 -1
Curve Equation t Generators 6279j1 [0,1,1,-2308,42082] 1 [29:-20:1]
6279k (1 curve)	1	3- 7- 13- 23-	2 3-  0 7- -5 13- -5 -6
Curve Equation t Generators 6279k1 [0,1,1,-55868,-392287] 1 [-262:9473:8]

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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