Cremona's table of elliptic curves

27830 = 2 · 5 · 11² · 23

Class	r	Atkin-Lehner	Eigenvalues
27830a (1 curve)	0	2+ 5+ 11- 23+	2+  0 5+  1 11-  0 -4  7
Curve Equation t 27830a1 [1,-1,0,-3350,-159340] 1
27830b (2 curves)	0	2+ 5+ 11- 23+	2+  1 5+  1 11-  4  3  1
Curve Equation t 27830b1 [1,0,1,76106,20199496] 1 27830b2 [1,0,1,-3970134,3048831432] 1
27830c (1 curve)	0	2+ 5+ 11- 23+	2+ -1 5+  5 11-  0  4  0
Curve Equation t 27830c1 [1,1,0,8347,215857] 1
27830d (2 curves)	0	2+ 5+ 11- 23+	2+ -2 5+  1 11- -2  0  1
Curve Equation t 27830d1 [1,0,1,-161054,-2358108744] 1 27830d2 [1,0,1,1449456,63662493992] 1
27830e (1 curve)	1	2+ 5+ 11- 23-	2+  0 5+ -3 11-  4  4  5
Curve Equation t Generators 27830e1 [1,-1,0,18430,-16468204] 1 [2658545:59189422:4913]
27830f (4 curves)	1	2+ 5+ 11- 23-	2+  0 5+  4 11- -6  6 -4
Curve Equation t Generators 27830f1 [1,-1,0,-3350,74916] 2 [-63:213:1] 27830f2 [1,-1,0,-5770,-45600] 4 [-10:110:1] 27830f3 [1,-1,0,22060,-373994] 2 [2773:144826:1] 27830f4 [1,-1,0,-72320,-7459270] 2 [-4263:3955:27]
27830g (1 curve)	1	2+ 5+ 11- 23-	2+  2 5+ -3 11-  4 -6 -4
Curve Equation t Generators 27830g1 [1,1,0,23154437,-7662377763] 1 [221697551556369152892795155274:-21833047291271550691490926328229:565498147029788124797291191]
27830h (2 curves)	1	2+ 5+ 11- 23-	2+ -2 5+  1 11- -2  0 -5
Curve Equation t Generators 27830h1 [1,0,1,-21299,1682382] 1 [-12:1397:1] 27830h2 [1,0,1,-1913739,1018835486] 1 [780:517:1]
27830i (2 curves)	1	2+ 5+ 11- 23-	2+ -2 5+ -1 11- -4  6  8
Curve Equation t Generators 27830i1 [1,0,1,1086,4112] 3 [-1:55:1] 27830i2 [1,0,1,-12829,-641544] 1 [275:3942:1]
27830j (1 curve)	1	2+ 5+ 11- 23-	2+ -3 5+ -3 11-  4  4 -4
Curve Equation t Generators 27830j1 [1,-1,0,-36790,2725300] 1 [116:34:1]
27830k (2 curves)	1	2+ 5- 11- 23+	2+  1 5-  1 11- -2  6 -2
Curve Equation t Generators 27830k1 [1,0,1,107,-992] 1 [59:430:1] 27830k2 [1,0,1,-993,31128] 1 [1659:11324:27]
27830l (1 curve)	1	2+ 5- 11- 23+	2+ -1 5-  1 11-  4 -5 -1
Curve Equation t Generators 27830l1 [1,1,0,-771377,-268306859] 1 [3207:172334:1]
27830m (1 curve)	2	2+ 5- 11- 23-	2+ -1 5- -1 11- -4  4 -4
Curve Equation t Generators 27830m1 [1,1,0,-19032,1050064] 1 [-77:1476:1]&[-12:1136:1]
27830n (1 curve)	0	2+ 5- 11- 23-	2+  3 5- -3 11-  4  7 -1
Curve Equation t 27830n1 [1,-1,0,-306334,67959788] 1
27830o (1 curve)	2	2+ 5- 11- 23-	2+ -3 5- -3 11-  2  2 -2
Curve Equation t Generators 27830o1 [1,-1,0,38516,11212240] 1 [-151:1467:1]&[696:19012:1]
27830p (1 curve)	1	2- 5+ 11- 23+	2- -1 5+ -5 11-  0 -4  0
Curve Equation t Generators 27830p1 [1,1,1,69,-131] 1 [11:40:1]
27830q (4 curves)	0	2- 5+ 11- 23-	2-  0 5+  0 11- -2 -2 -4
Curve Equation t 27830q1 [1,-1,1,-82303,-9038169] 2 27830q2 [1,-1,1,-121023,363047] 4 27830q3 [1,-1,1,483977,2541047] 2 27830q4 [1,-1,1,-1345543,599398231] 2
27830r (1 curve)	0	2- 5+ 11- 23-	2-  2 5+  3 11- -4  6  4
Curve Equation t 27830r1 [1,1,1,191359,5843839] 1
27830s (2 curves)	0	2- 5+ 11- 23-	2- -2 5+  1 11-  4 -6 -8
Curve Equation t 27830s1 [1,0,0,131464,-5341940] 1 27830s2 [1,0,0,-1552251,852342481] 1
27830t (1 curve)	0	2- 5+ 11- 23-	2- -3 5+  3 11- -4 -4  4
Curve Equation t 27830t1 [1,-1,1,-4451613,-3614019483] 1
27830u (2 curves)	0	2- 5- 11- 23+	2-  1 5- -1 11-  2 -6  2
Curve Equation t 27830u1 [1,0,0,13005,1333025] 3 27830u2 [1,0,0,-120095,-41551795] 1
27830v (1 curve)	0	2- 5- 11- 23+	2- -1 5-  3 11-  4 -3 -7
Curve Equation t 27830v1 [1,1,1,-910,-19095] 1
27830w (1 curve)	0	2- 5- 11- 23+	2-  2 5-  1 11-  6  8 -3
Curve Equation t 27830w1 [1,1,1,905,12607] 1
27830x (1 curve)	1	2- 5- 11- 23-	2-  0 5- -3 11-  4  4 -7
Curve Equation t Generators 27830x1 [1,-1,1,-65242,7589409] 1 [267:2891:1]
27830y (1 curve)	1	2- 5- 11- 23-	2- -1 5-  1 11-  4 -4  4
Curve Equation t Generators 27830y1 [1,1,1,-2302935,-1409149763] 1 [2107:54606:1]
27830z (1 curve)	1	2- 5- 11- 23-	2- -3 5-  3 11- -2 -2  2
Curve Equation t Generators 27830z1 [1,-1,1,318,-8511] 1 [37:-249:1]

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