Cremona's table of elliptic curves

123704 = 2³ · 7 · 47²

Class	r	Atkin-Lehner	Eigenvalues
123704a (2 curves)	0	2+ 7+ 47-	2+  2 -2 7+  6  6 -2  0
Curve Equation t 123704a1 [0,-1,0,-248144,47572124] 2 123704a2 [0,-1,0,-336504,10779020] 2
123704b (2 curves)	1	2+ 7- 47-	2+  2  4 7-  0  0 -2  2
Curve Equation t Generators 123704b1 [0,-1,0,-736,423228] 2 [374383871069801257500:-5703275223782929752767:8211842859375000000] 123704b2 [0,-1,0,-89096,10142828] 2 [23248534551:-1317693351250:525557943]
123704c (2 curves)	1	2- 7+ 47-	2-  0  0 7+ -2 -4  6 -2
Curve Equation t Generators 123704c1 [0,0,0,-254035,-72883746] 2 [20608237862:23308616940:33698267] 123704c2 [0,0,0,-4583675,-3776457802] 2 [6612104245677590:-8284195585867267236:4212283375]
123704d (4 curves)	1	2- 7+ 47-	2-  0 -2 7+  4 -2 -6 -8
Curve Equation t Generators 123704d1 [0,0,0,2209,-207646] 2 [145:1778:1] 123704d2 [0,0,0,-41971,-3114690] 4 [80661:48768:343] 123704d3 [0,0,0,-130331,14327574] 2 [-1410:123704:27] 123704d4 [0,0,0,-660491,-206607770] 2 [259967302:-226324088880:343]
123704e (1 curve)	1	2- 7+ 47-	2- -1 -1 7+ -3 -6 -4  6
Curve Equation t Generators 123704e1 [0,-1,0,-736,-2899108] 1 [7482:114868:27]
123704f (1 curve)	1	2- 7+ 47-	2-  2  4 7+ -3  0 -4  0
Curve Equation t Generators 123704f1 [0,-1,0,-736,-7527] 1 [194078517:288906765:5929741]
123704g (1 curve)	1	2- 7+ 47-	2-  2 -4 7+  3  0 -4  0
Curve Equation t Generators 123704g1 [0,-1,0,-1626560,807496841] 1 [23689760:97795047:32768]
123704h (1 curve)	0	2- 7- 47-	2-  1 -1 7- -1  2 -8 -2
Curve Equation t 123704h1 [0,1,0,-2121376,-1198416944] 1
123704i (1 curve)	0	2- 7- 47-	2-  2  2 7-  1  6 -2 -4
Curve Equation t 123704i1 [0,-1,0,34608,169193] 1
123704j (1 curve)	2	2- 7- 47-	2-  2 -2 7- -1 -6 -2  4
Curve Equation t Generators 123704j1 [0,-1,0,16,-7] 1 [1:3:1]&[28:147:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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