Cremona's table of elliptic curves

12075 = 3 · 5² · 7 · 23

Class	r	Atkin-Lehner	Eigenvalues
12075a (2 curves)	1	3+ 5+ 7+ 23+	0 3+ 5+ 7+ -3 -2  0 -4
Curve Equation t Generators 12075a1 [0,-1,1,-3113,488273] 1 [-59:680:1] 12075a2 [0,-1,1,27937,-12947062] 1 [127336036:3036414290:226981]
12075b (2 curves)	1	3+ 5+ 7+ 23+	1 3+ 5+ 7+ -2  4  2  0
Curve Equation t Generators 12075b1 [1,1,0,-5750,-146625] 2 [-330:1365:8] 12075b2 [1,1,0,9875,-787250] 2 [970:29890:1]
12075c (4 curves)	1	3+ 5+ 7+ 23+	1 3+ 5+ 7+  4 -2  2  0
Curve Equation t Generators 12075c1 [1,1,0,-5775,42000] 2 [-16760:235805:512] 12075c2 [1,1,0,-71900,7381875] 4 [794:20855:1] 12075c3 [1,1,0,-1150025,474210000] 2 [63316:1087845:64] 12075c4 [1,1,0,-51775,11628250] 2 [6302:168515:8]
12075d (4 curves)	1	3+ 5+ 7+ 23+	-1 3+ 5+ 7+ -4 -2 -6 -4
Curve Equation t Generators 12075d1 [1,1,1,-588,156] 2 [0:12:1] 12075d2 [1,1,1,-6713,208406] 4 [20:277:1] 12075d3 [1,1,1,-107338,13490906] 2 [191:-42:1] 12075d4 [1,1,1,-4088,376406] 2 [41:508:1]
12075e (1 curve)	1	3+ 5+ 7+ 23+	2 3+ 5+ 7+  5  4  0 -4
Curve Equation t Generators 12075e1 [0,-1,1,3542,35943] 1 [1245540054:-14090498865:16387064]
12075f (1 curve)	1	3+ 5+ 7+ 23+	-2 3+ 5+ 7+  1 -2 -4 -3
Curve Equation t Generators 12075f1 [0,-1,1,42,68] 1 [2:12:1]
12075g (2 curves)	0	3+ 5+ 7+ 23-	0 3+ 5+ 7+  3  4  6 -1
Curve Equation t 12075g1 [0,-1,1,-533,14843] 1 12075g2 [0,-1,1,4717,-360532] 1
12075h (1 curve)	0	3+ 5+ 7- 23+	0 3+ 5+ 7-  1  0 -2 -3
Curve Equation t 12075h1 [0,-1,1,729217,-539549032] 1
12075i (4 curves)	1	3+ 5+ 7- 23-	1 3+ 5+ 7-  0 -2  6 -4
Curve Equation t Generators 12075i1 [1,1,0,-7000,221875] 2 [30:185:1] 12075i2 [1,1,0,-10125,0] 4 [8100:724950:1] 12075i3 [1,1,0,-110750,-14188125] 2 [-1166490:1215145:5832] 12075i4 [1,1,0,40500,50625] 4 [0:225:1]
12075j (2 curves)	1	3+ 5+ 7- 23-	-1 3+ 5+ 7- -2  0  2 -4
Curve Equation t Generators 12075j1 [1,1,1,-35938,-2629594] 2 [-110:142:1] 12075j2 [1,1,1,-20313,-4910844] 2 [270:2927:1]
12075k (1 curve)	1	3+ 5+ 7- 23-	-2 3+ 5+ 7-  0  4 -6 -1
Curve Equation t Generators 12075k1 [0,-1,1,-208,-3432] 1 [23:58:1]
12075l (1 curve)	1	3+ 5+ 7- 23-	-2 3+ 5+ 7- -1 -4  0 -4
Curve Equation t Generators 12075l1 [0,-1,1,-28,78] 1 [3:3:1]
12075m (1 curve)	1	3+ 5+ 7- 23-	-2 3+ 5+ 7- -5  2  0 -5
Curve Equation t Generators 12075m1 [0,-1,1,-2408,-52282] 1 [67:287:1]
12075n (1 curve)	1	3+ 5- 7+ 23-	0 3+ 5- 7+  4  6 -4 -3
Curve Equation t Generators 12075n1 [0,-1,1,167,-41682] 1 [92:862:1]
12075o (2 curves)	1	3+ 5- 7- 23+	1 3+ 5- 7- -2 -2 -4  2
Curve Equation t Generators 12075o1 [1,1,0,-1155,-15600] 2 [176:2208:1] 12075o2 [1,1,0,-1130,-16275] 2 [44:125:1]
12075p (2 curves)	0	3+ 5- 7- 23-	1 3+ 5- 7-  0 -4  8  6
Curve Equation t 12075p1 [1,1,0,-755450,-235496625] 2 12075p2 [1,1,0,745175,-1053337250] 2
12075q (1 curve)	0	3- 5+ 7+ 23+	0 3- 5+ 7+ -3  0  2  7
Curve Equation t 12075q1 [0,1,1,-2466283,1839585094] 1
12075r (1 curve)	1	3- 5+ 7- 23+	0 3- 5+ 7-  4 -6  4 -3
Curve Equation t Generators 12075r1 [0,1,1,7,-331] 1 [7:10:1]
12075s (4 curves)	0	3- 5+ 7- 23-	1 3- 5+ 7-  4  6  2  0
Curve Equation t 12075s1 [1,0,1,-2026,-31177] 2 12075s2 [1,0,1,-8151,250573] 4 12075s3 [1,0,1,-126276,17260573] 2 12075s4 [1,0,1,11974,1297073] 2
12075t (2 curves)	1	3- 5- 7+ 23+	-1 3- 5- 7+  0  4 -8  6
Curve Equation t Generators 12075t1 [1,0,0,-30218,-1883973] 2 [-83:274:1] 12075t2 [1,0,0,29807,-8426698] 2 [167:1019:1]
12075u (1 curve)	1	3- 5- 7+ 23+	2 3- 5- 7+  0 -4  6 -1
Curve Equation t Generators 12075u1 [0,1,1,-8,-31] 1 [19374:184303:216]
12075v (1 curve)	1	3- 5- 7+ 23+	2 3- 5- 7+ -1  4  0 -4
Curve Equation t Generators 12075v1 [0,1,1,-708,8369] 1 [-86:971:8]
12075w (2 curves)	0	3- 5- 7+ 23-	-1 3- 5- 7+ -2  2  4  2
Curve Equation t 12075w1 [1,0,0,-28888,-1892233] 2 12075w2 [1,0,0,-28263,-1977858] 2
12075x (2 curves)	1	3- 5- 7- 23-	0 3- 5- 7- -3  2  0 -4
Curve Equation t Generators 12075x1 [0,1,1,-77833,60878494] 3 [-406:5071:1] 12075x2 [0,1,1,698417,-1616985881] 1 [11002:352943:8]
12075y (1 curve)	1	3- 5- 7- 23-	-2 3- 5- 7-  5 -4  0 -4
Curve Equation t Generators 12075y1 [0,1,1,142,344] 1 [13:-68:1]

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