Cremona's table of elliptic curves

2112 = 2⁶ · 3 · 11

Class	r	Atkin-Lehner	Eigenvalues
2112a (2 curves)	1	2+ 3+ 11+	2+ 3+  0  2 11+  0 -2 -8
Curve Equation t Generators 2112a1 [0,-1,0,-33,33] 2 [-1:8:1] 2112a2 [0,-1,0,127,129] 2 [1:16:1]
2112b (2 curves)	1	2+ 3+ 11+	2+ 3+  0  2 11+ -4 -2  0
Curve Equation t Generators 2112b1 [0,-1,0,-393,-2871] 2 [25:48:1] 2112b2 [0,-1,0,-353,-3519] 2 [45:264:1]
2112c (2 curves)	1	2+ 3+ 11+	2+ 3+ -2 -2 11+  2  4  6
Curve Equation t Generators 2112c1 [0,-1,0,11,-11] 2 [4:9:1] 2112c2 [0,-1,0,-49,-47] 2 [-3:8:1]
2112d (4 curves)	1	2+ 3+ 11+	2+ 3+  4 -2 11+ -4 -2  0
Curve Equation t Generators 2112d1 [0,-1,0,-2881,44353] 2 [-33:320:1] 2112d2 [0,-1,0,7359,279873] 2 [17:640:1] 2112d3 [0,-1,0,-644161,-198779327] 2 [409514276955:-16170174629888:210644875] 2112d4 [0,-1,0,-643521,-199194687] 2 [419111:9925280:343]
2112e (4 curves)	0	2+ 3+ 11-	2+ 3+  0  2 11-  4 -6  4
Curve Equation t 2112e1 [0,-1,0,-353,2529] 2 2112e2 [0,-1,0,287,10081] 2 2112e3 [0,-1,0,-5153,-140127] 2 2112e4 [0,-1,0,-2593,-281951] 2
2112f (4 curves)	0	2+ 3+ 11-	2+ 3+  2  0 11-  6  2  4
Curve Equation t 2112f1 [0,-1,0,-132,630] 2 2112f2 [0,-1,0,-137,585] 4 2112f3 [0,-1,0,-577,-4607] 2 2112f4 [0,-1,0,223,2817] 4
2112g (4 curves)	0	2+ 3+ 11-	2+ 3+  2  4 11- -6  6  8
Curve Equation t 2112g1 [0,-1,0,3,45] 2 2112g2 [0,-1,0,-177,945] 4 2112g3 [0,-1,0,-417,-1887] 2 2112g4 [0,-1,0,-2817,58497] 2
2112h (4 curves)	0	2+ 3+ 11-	2+ 3+ -2  4 11-  2  2 -4
Curve Equation t 2112h1 [0,-1,0,-5204,116478] 2 2112h2 [0,-1,0,-78409,8476489] 4 2112h3 [0,-1,0,-1254529,541258849] 4 2112h4 [0,-1,0,-73569,9563553] 2
2112i (2 curves)	0	2+ 3+ 11-	2+ 3+  4 -2 11- -4  2 -4
Curve Equation t 2112i1 [0,-1,0,-41,-87] 2 2112i2 [0,-1,0,-1,-287] 2
2112j (2 curves)	0	2+ 3+ 11-	2+ 3+ -4 -2 11-  0 -6 -4
Curve Equation t 2112j1 [0,-1,0,-32065,-2199359] 2 2112j2 [0,-1,0,-31905,-2222559] 2
2112k (4 curves)	0	2+ 3- 11+	2+ 3-  2  0 11+  6  2 -4
Curve Equation t 2112k1 [0,1,0,-132,-630] 2 2112k2 [0,1,0,-137,-585] 4 2112k3 [0,1,0,-577,4607] 4 2112k4 [0,1,0,223,-2817] 2
2112l (4 curves)	0	2+ 3- 11+	2+ 3-  2  4 11+  2 -2  0
Curve Equation t 2112l1 [0,1,0,-417,-3393] 2 2112l2 [0,1,0,-737,2175] 4 2112l3 [0,1,0,-9377,346047] 2 2112l4 [0,1,0,2783,19775] 2
2112m (4 curves)	0	2+ 3- 11+	2+ 3- -2  0 11+ -2  6  0
Curve Equation t 2112m1 [0,1,0,-49,-145] 2 2112m2 [0,1,0,-129,351] 4 2112m3 [0,1,0,-1889,30975] 4 2112m4 [0,1,0,351,2751] 2
2112n (4 curves)	0	2+ 3- 11+	2+ 3- -2 -4 11+  2  2  4
Curve Equation t 2112n1 [0,1,0,-5204,-116478] 2 2112n2 [0,1,0,-78409,-8476489] 4 2112n3 [0,1,0,-1254529,-541258849] 2 2112n4 [0,1,0,-73569,-9563553] 4
2112o (2 curves)	0	2+ 3- 11+	2+ 3-  4  2 11+ -4  2  4
Curve Equation t 2112o1 [0,1,0,-41,87] 2 2112o2 [0,1,0,-1,287] 2
2112p (2 curves)	1	2+ 3- 11-	2+ 3-  0 -2 11- -4 -2  0
Curve Equation t Generators 2112p1 [0,1,0,-393,2871] 2 [9:12:1] 2112p2 [0,1,0,-353,3519] 2 [-5:72:1]
2112q (2 curves)	1	2+ 3- 11-	2+ 3- -2  2 11- -6 -4  2
Curve Equation t Generators 2112q1 [0,1,0,-309,2331] 2 [6:27:1] 2112q2 [0,1,0,-5169,141327] 2 [63:-264:1]
2112r (4 curves)	1	2+ 3- 11-	2+ 3- -2 -4 11-  6  2 -4
Curve Equation t Generators 2112r1 [0,1,0,-129,-33] 2 [-7:24:1] 2112r2 [0,1,0,-1409,-20769] 4 [555:13056:1] 2112r3 [0,1,0,-22529,-1309089] 2 [4506:102765:8] 2112r4 [0,1,0,-769,-39073] 4 [43:96:1]
2112s (2 curves)	0	2- 3+ 11+	2- 3+  2 -2 11+  2  0  2
Curve Equation t 2112s1 [0,-1,0,-32,78] 2 2112s2 [0,-1,0,23,265] 2
2112t (2 curves)	0	2- 3+ 11+	2- 3+ -2 -2 11+ -6 -4 -2
Curve Equation t 2112t1 [0,-1,0,-309,-2331] 2 2112t2 [0,-1,0,-5169,-141327] 2
2112u (4 curves)	0	2- 3+ 11+	2- 3+ -2  4 11+  6  2  4
Curve Equation t 2112u1 [0,-1,0,-129,33] 2 2112u2 [0,-1,0,-1409,20769] 4 2112u3 [0,-1,0,-22529,1309089] 4 2112u4 [0,-1,0,-769,39073] 2
2112v (4 curves)	1	2- 3+ 11-	2- 3+  2 -4 11-  2 -2  0
Curve Equation t Generators 2112v1 [0,-1,0,-417,3393] 2 [-19:64:1] 2112v2 [0,-1,0,-737,-2175] 4 [-21:60:1] 2112v3 [0,-1,0,-9377,-346047] 2 [141:1056:1] 2112v4 [0,-1,0,2783,-19775] 2 [489:5140:27]
2112w (4 curves)	1	2- 3+ 11-	2- 3+ -2  0 11- -2  6  0
Curve Equation t Generators 2112w1 [0,-1,0,-49,145] 2 [-3:16:1] 2112w2 [0,-1,0,-129,-351] 4 [-5:12:1] 2112w3 [0,-1,0,-1889,-30975] 2 [56:189:1] 2112w4 [0,-1,0,351,-2751] 4 [43:300:1]
2112x (4 curves)	1	2- 3- 11+	2- 3-  0 -2 11+  4 -6 -4
Curve Equation t Generators 2112x1 [0,1,0,-353,-2529] 2 [-11:12:1] 2112x2 [0,1,0,287,-10081] 2 [23:96:1] 2112x3 [0,1,0,-5153,140127] 2 [21:204:1] 2112x4 [0,1,0,-2593,281951] 2 [-25:576:1]
2112y (4 curves)	1	2- 3- 11+	2- 3-  2 -4 11+ -6  6 -8
Curve Equation t Generators 2112y1 [0,1,0,3,-45] 2 [6:15:1] 2112y2 [0,1,0,-177,-945] 4 [18:45:1] 2112y3 [0,1,0,-2817,-58497] 2 [194:2595:1] 2112y4 [0,1,0,-417,1887] 2 [-1:48:1]
2112z (2 curves)	1	2- 3- 11+	2- 3- -4  2 11+  0 -6  4
Curve Equation t Generators 2112z1 [0,1,0,-32065,2199359] 2 [119:-288:1] 2112z2 [0,1,0,-31905,2222559] 2 [-9:1584:1]
2112ba (2 curves)	0	2- 3- 11-	2- 3-  0 -2 11-  0 -2  8
Curve Equation t 2112ba1 [0,1,0,-33,-33] 2 2112ba2 [0,1,0,127,-129] 2
2112bb (2 curves)	0	2- 3- 11-	2- 3-  2  2 11-  2  0 -2
Curve Equation t 2112bb1 [0,1,0,-32,-78] 2 2112bb2 [0,1,0,23,-265] 2
2112bc (2 curves)	0	2- 3- 11-	2- 3- -2  2 11-  2  4 -6
Curve Equation t 2112bc1 [0,1,0,11,11] 2 2112bc2 [0,1,0,-49,47] 2
2112bd (4 curves)	0	2- 3- 11-	2- 3-  4  2 11- -4 -2  0
Curve Equation t 2112bd1 [0,1,0,-2881,-44353] 2 2112bd2 [0,1,0,7359,-279873] 2 2112bd3 [0,1,0,-644161,198779327] 2 2112bd4 [0,1,0,-643521,199194687] 2

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