Cremona's table of elliptic curves

12090 = 2 · 3 · 5 · 13 · 31

Class	r	Atkin-Lehner	Eigenvalues
12090a (2 curves)	1	2+ 3+ 5+ 13+ 31+	2+ 3+ 5+ -2  2 13+ -2  2
Curve Equation t Generators 12090a1 [1,1,0,-28,-68] 2 [-3:2:1] 12090a2 [1,1,0,-78,162] 2 [-3:21:1]
12090b (4 curves)	0	2+ 3+ 5+ 13+ 31-	2+ 3+ 5+  0  0 13+  2  0
Curve Equation t 12090b1 [1,1,0,-6008,174912] 2 12090b2 [1,1,0,-11128,-174272] 4 12090b3 [1,1,0,-145048,-21306848] 2 12090b4 [1,1,0,40872,-1287072] 2
12090c (4 curves)	0	2+ 3+ 5+ 13+ 31-	2+ 3+ 5+  0  0 13+  2  0
Curve Equation t 12090c1 [1,1,0,-106438,13321492] 2 12090c2 [1,1,0,-106758,13236948] 4 12090c3 [1,1,0,-199758,-13416852] 2 12090c4 [1,1,0,-18878,34486332] 2
12090d (2 curves)	0	2+ 3+ 5+ 13- 31+	2+ 3+ 5+  2  2 13-  6  6
Curve Equation t 12090d1 [1,1,0,-2053,34957] 2 12090d2 [1,1,0,-2253,27477] 2
12090e (1 curve)	1	2+ 3+ 5+ 13- 31-	2+ 3+ 5+ -3 -5 13- -6  1
Curve Equation t Generators 12090e1 [1,1,0,-38,78] 1 [1:6:1]
12090f (1 curve)	0	2+ 3+ 5- 13+ 31+	2+ 3+ 5- -3  0 13+  5  8
Curve Equation t 12090f1 [1,1,0,-218662,-39598796] 1
12090g (1 curve)	1	2+ 3+ 5- 13+ 31-	2+ 3+ 5-  2  1 13+  4 -5
Curve Equation t Generators 12090g1 [1,1,0,-527,-6231] 1 [30:63:1]
12090h (4 curves)	0	2+ 3- 5+ 13+ 31+	2+ 3- 5+  0 -4 13+  6  8
Curve Equation t 12090h1 [1,0,1,-1313094,708113176] 2 12090h2 [1,0,1,-22284614,40486892312] 4 12090h3 [1,0,1,-23564614,35574764312] 2 12090h4 [1,0,1,-356548934,2591324771096] 2
12090i (1 curve)	0	2+ 3- 5+ 13+ 31+	2+ 3- 5+  1 -3 13+ -8  1
Curve Equation t 12090i1 [1,0,1,-161104,-24962344] 1
12090j (4 curves)	0	2+ 3- 5+ 13+ 31+	2+ 3- 5+  4  4 13+  2  4
Curve Equation t 12090j1 [1,0,1,-989,-8584] 2 12090j2 [1,0,1,-14509,-673768] 4 12090j3 [1,0,1,-232129,-43066144] 2 12090j4 [1,0,1,-13209,-799088] 2
12090k (1 curve)	1	2+ 3- 5+ 13+ 31-	2+ 3- 5+ -1  0 13+  3  4
Curve Equation t Generators 12090k1 [1,0,1,-25314,-1979564] 1 [788:21228:1]
12090l (2 curves)	1	2+ 3- 5+ 13+ 31-	2+ 3- 5+  2 -6 13+  6 -6
Curve Equation t Generators 12090l1 [1,0,1,-79,2] 2 [0:1:1] 12090l2 [1,0,1,-879,9922] 2 [8:54:1]
12090m (1 curve)	1	2+ 3- 5+ 13- 31+	2+ 3- 5+  1  4 13- -1  0
Curve Equation t Generators 12090m1 [1,0,1,18551,-312628] 1 [106:1634:1]
12090n (1 curve)	1	2+ 3- 5+ 13- 31+	2+ 3- 5+ -2 -1 13- -4  1
Curve Equation t Generators 12090n1 [1,0,1,5806,-122524] 1 [141:-1943:1]
12090o (4 curves)	1	2+ 3- 5+ 13- 31+	2+ 3- 5+ -4  4 13- -2  0
Curve Equation t Generators 12090o1 [1,0,1,-2074,-36484] 2 [-26:17:1] 12090o2 [1,0,1,-2574,-17684] 4 [-34:192:1] 12090o3 [1,0,1,-22724,1304156] 2 [114:388:1] 12090o4 [1,0,1,9576,-134324] 2 [56:732:1]
12090p (4 curves)	0	2+ 3- 5+ 13- 31-	2+ 3- 5+  2 -6 13- -6  2
Curve Equation t 12090p1 [1,0,1,-38324,2884466] 6 12090p2 [1,0,1,-38524,2852786] 6 12090p3 [1,0,1,-45539,1720862] 2 12090p4 [1,0,1,-365539,-83911138] 2
12090q (1 curve)	1	2+ 3- 5- 13- 31-	2+ 3- 5- -2 -1 13-  0  3
Curve Equation t Generators 12090q1 [1,0,1,1658657,1816853558] 1 [-731:14990:1]
12090r (2 curves)	1	2+ 3- 5- 13- 31-	2+ 3- 5- -2  4 13-  0 -2
Curve Equation t Generators 12090r1 [1,0,1,567,2956] 2 [76:659:1] 12090r2 [1,0,1,-2633,24716] 2 [2:138:1]
12090s (2 curves)	0	2- 3+ 5+ 13+ 31+	2- 3+ 5+ -2  0 13+  0  6
Curve Equation t 12090s1 [1,1,1,98624,-2080927] 2 12090s2 [1,1,1,-401376,-17280927] 2
12090t (4 curves)	0	2- 3+ 5- 13+ 31-	2- 3+ 5-  0 -4 13+ -2  8
Curve Equation t 12090t1 [1,1,1,30,-33] 2 12090t2 [1,1,1,-150,-465] 4 12090t3 [1,1,1,-2100,-37905] 2 12090t4 [1,1,1,-1080,12927] 2
12090u (2 curves)	0	2- 3+ 5- 13+ 31-	2- 3+ 5-  2  2 13+ -6  2
Curve Equation t 12090u1 [1,1,1,-2310,-29985] 2 12090u2 [1,1,1,-33560,-2379985] 2
12090v (1 curve)	0	2- 3+ 5- 13+ 31-	2- 3+ 5-  3 -4 13+  1 -4
Curve Equation t 12090v1 [1,1,1,432475,37077917] 1
12090w (1 curve)	0	2- 3+ 5- 13+ 31-	2- 3+ 5- -3  5 13+  4 -7
Curve Equation t 12090w1 [1,1,1,-3129770,-2132643913] 1
12090x (4 curves)	0	2- 3+ 5- 13+ 31-	2- 3+ 5- -4 -4 13+ -6 -4
Curve Equation t 12090x1 [1,1,1,37565610,134010483795] 4 12090x2 [1,1,1,-277334870,1417040999507] 4 12090x3 [1,1,1,-1410635350,-19148282830765] 2 12090x4 [1,1,1,-4182442070,104102615844947] 2
12090y (2 curves)	0	2- 3+ 5- 13- 31+	2- 3+ 5-  0  4 13-  6  4
Curve Equation t 12090y1 [1,1,1,-745210,247178375] 2 12090y2 [1,1,1,-612090,338445447] 2
12090z (1 curve)	0	2- 3- 5+ 13- 31+	2- 3- 5+ -2  1 13-  8 -3
Curve Equation t 12090z1 [1,0,0,-136,-640] 1
12090ba (2 curves)	1	2- 3- 5+ 13- 31-	2- 3- 5+ -1  0 13-  3 -4
Curve Equation t Generators 12090ba1 [1,0,0,124,-744] 3 [6:12:1] 12090ba2 [1,0,0,-4166,-104250] 1 [1374:15813:8]
12090bb (2 curves)	1	2- 3- 5+ 13- 31-	2- 3- 5+ -1  3 13- -6 -7
Curve Equation t Generators 12090bb1 [1,0,0,-7241,-328935] 3 [106:259:1] 12090bb2 [1,0,0,-647081,-200402439] 1 [1284:32313:1]
12090bc (1 curve)	1	2- 3- 5+ 13- 31-	2- 3- 5+ -1 -5 13- -2  1
Curve Equation t Generators 12090bc1 [1,0,0,-678646421,6804713564001] 1 [15058:-11273:1]
12090bd (2 curves)	1	2- 3- 5+ 13- 31-	2- 3- 5+ -4 -2 13-  4  4
Curve Equation t Generators 12090bd1 [1,0,0,-351,-41895] 2 [54:285:1] 12090bd2 [1,0,0,-20351,-1109895] 2 [-86:121:1]
12090be (2 curves)	0	2- 3- 5- 13+ 31+	2- 3- 5-  2  2 13+ -2 -2
Curve Equation t 12090be1 [1,0,0,-17910,-241500] 2 12090be2 [1,0,0,-222710,-40423260] 2
12090bf (1 curve)	0	2- 3- 5- 13+ 31+	2- 3- 5- -2  3 13+  0 -3
Curve Equation t 12090bf1 [1,0,0,-2165,-38955] 1
12090bg (2 curves)	0	2- 3- 5- 13+ 31+	2- 3- 5- -4 -4 13+ -2  4
Curve Equation t 12090bg1 [1,0,0,-4590,36192] 2 12090bg2 [1,0,0,17380,286650] 2
12090bh (1 curve)	0	2- 3- 5- 13+ 31+	2- 3- 5-  5 -4 13+  7  4
Curve Equation t 12090bh1 [1,0,0,-1220339660,328764484912272] 1
12090bi (4 curves)	1	2- 3- 5- 13+ 31-	2- 3- 5- -4  0 13+ -2 -4
Curve Equation t Generators 12090bi1 [1,0,0,-360,-1728] 2 [-6:18:1] 12090bi2 [1,0,0,-2360,42672] 4 [-38:298:1] 12090bi3 [1,0,0,-37460,2787492] 2 [112:-50:1] 12090bi4 [1,0,0,740,147452] 2 [-28:338:1]
12090bj (1 curve)	1	2- 3- 5- 13- 31+	2- 3- 5-  1 -5 13- -4 -3
Curve Equation t Generators 12090bj1 [1,0,0,340,600] 1 [30:180:1]
12090bk (2 curves)	1	2- 3- 5- 13- 31+	2- 3- 5- -2 -2 13-  2 -6
Curve Equation t Generators 12090bk1 [1,0,0,-39695,-957063] 2 [454:-8867:1] 12090bk2 [1,0,0,-359695,82306937] 2 [-256:-12427:1]
12090bl (1 curve)	1	2- 3- 5- 13- 31+	2- 3- 5- -3 -1 13- -6  5
Curve Equation t Generators 12090bl1 [1,0,0,-3490,100292] 1 [-16:-382:1]
12090bm (4 curves)	0	2- 3- 5- 13- 31-	2- 3- 5- -4  0 13-  6  8
Curve Equation t 12090bm1 [1,0,0,-2145,38025] 6 12090bm2 [1,0,0,-1625,57057] 6 12090bm3 [1,0,0,-7845,-227715] 2 12090bm4 [1,0,0,14125,-1269093] 2

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