Cremona's table of elliptic curves

88330 = 2 · 5 · 11² · 73

Class	r	Atkin-Lehner	Eigenvalues
88330a (1 curve)	0	2+ 5+ 11+ 73-	2+  1 5+  3 11+  2  5  5
Curve Equation t 88330a1 [1,0,1,-5734,265912] 1
88330b (1 curve)	0	2+ 5+ 11- 73+	2+  0 5+ -1 11-  6 -3 -7
Curve Equation t 88330b1 [1,-1,0,-214819490,1211808529300] 1
88330c (1 curve)	0	2+ 5+ 11- 73+	2+  0 5+  2 11-  0 -3  5
Curve Equation t 88330c1 [1,-1,0,3910,13206] 1
88330d (4 curves)	0	2+ 5+ 11- 73+	2+  0 5+ -4 11- -2  6 -8
Curve Equation t 88330d1 [1,-1,0,7540,60880] 2 88330d2 [1,-1,0,-31180,517776] 4 88330d3 [1,-1,0,-297380,-61932744] 2 88330d4 [1,-1,0,-384500,91745000] 2
88330e (1 curve)	0	2+ 5+ 11- 73+	2+ -1 5+  1 11-  2  2  6
Curve Equation t 88330e1 [1,1,0,-3148,-67888] 1
88330f (1 curve)	2	2+ 5+ 11- 73+	2+ -3 5+ -5 11- -2 -4 -8
Curve Equation t Generators 88330f1 [1,-1,0,5,1381] 1 [-10:21:1]&[-3:38:1]
88330g (1 curve)	1	2+ 5+ 11- 73-	2+  0 5+  5 11-  2 -1  7
Curve Equation t Generators 88330g1 [1,-1,0,-4098320,3194451200] 1 [10825248:-5332496:9261]
88330h (2 curves)	1	2+ 5+ 11- 73-	2+ -2 5+ -4 11- -2  2  2
Curve Equation t Generators 88330h1 [1,0,1,-360099,96408926] 2 [186:5896:1] 88330h2 [1,0,1,-6013219,5674907742] 2 [296:62469:1]
88330i (1 curve)	1	2+ 5+ 11- 73-	2+ -2 5+ -4 11-  4 -7 -1
Curve Equation t Generators 88330i1 [1,0,1,2296,8952] 1 [10:176:1]
88330j (1 curve)	1	2+ 5+ 11- 73-	2+ -2 5+ -4 11- -4  6  3
Curve Equation t Generators 88330j1 [1,0,1,-14,-288] 1 [8:7:1]
88330k (1 curve)	1	2+ 5+ 11- 73-	2+ -3 5+ -1 11-  2 -1  7
Curve Equation t Generators 88330k1 [1,-1,0,-134635,22656541] 1 [355:4239:1]
88330l (1 curve)	1	2+ 5- 11+ 73-	2+ -1 5- -1 11+ -2 -3 -1
Curve Equation t Generators 88330l1 [1,1,0,7982368,-10313707136] 1 [1623:82376:1]
88330m (2 curves)	1	2+ 5- 11- 73+	2+  1 5-  1 11-  4  3 -5
Curve Equation t Generators 88330m1 [1,0,1,-301898,677143828] 1 [3904:240955:1] 88330m2 [1,0,1,-68515648,218287657828] 1 [4425066:115464745:729]
88330n (2 curves)	1	2+ 5- 11- 73+	2+  1 5- -5 11-  4  6  4
Curve Equation t Generators 88330n1 [1,0,1,-1818,-24444] 1 [-30:72:1] 88330n2 [1,0,1,-44168,3566836] 1 [-1536:66316:27]
88330o (1 curve)	1	2+ 5- 11- 73+	2+ -2 5-  0 11- -4  2  3
Curve Equation t Generators 88330o1 [1,0,1,-549343,156679026] 1 [1806:52269:8]
88330p (1 curve)	0	2+ 5- 11- 73-	2+ -1 5-  3 11-  6  6 -2
Curve Equation t 88330p1 [1,1,0,-49007,2316901] 1
88330q (2 curves)	0	2+ 5- 11- 73-	2+ -2 5-  2 11- -4 -3 -4
Curve Equation t 88330q1 [1,0,1,-3633,126806] 3 88330q2 [1,0,1,29642,-1962864] 1
88330r (1 curve)	2	2- 5+ 11+ 73+	2-  1 5+ -3 11+ -2 -5 -5
Curve Equation t Generators 88330r1 [1,0,0,-693756,-354622960] 1 [1144:18116:1]&[3640:211140:1]
88330s (2 curves)	1	2- 5+ 11- 73+	2-  0 5+  2 11- -2 -2  0
Curve Equation t Generators 88330s1 [1,-1,1,-104688,12584531] 2 [125:1137:1] 88330s2 [1,-1,1,50192,46534227] 2 [1093:36953:1]
88330t (1 curve)	1	2- 5+ 11- 73+	2-  0 5+  2 11- -2  3 -5
Curve Equation t Generators 88330t1 [1,-1,1,4124867,-3080004859] 1 [37931:7378732:1]
88330u (1 curve)	1	2- 5+ 11- 73+	2-  0 5+ -5 11- -2  1 -7
Curve Equation t Generators 88330u1 [1,-1,1,-495896743,-4250326856993] 1 [-156427531:78891650:12167]
88330v (1 curve)	1	2- 5+ 11- 73+	2-  1 5+ -3 11- -6 -3 -7
Curve Equation t Generators 88330v1 [1,0,0,-215201,-40441015] 1 [1154:-35909:1]
88330w (2 curves)	1	2- 5+ 11- 73+	2- -2 5+  4 11-  4  3 -5
Curve Equation t Generators 88330w1 [1,0,0,11674,887140] 1 [-56:270:1] 88330w2 [1,0,0,-474141,125935921] 1 [450:1711:1]
88330x (1 curve)	1	2- 5+ 11- 73+	2- -2 5+  4 11-  4 -6 -3
Curve Equation t Generators 88330x1 [1,0,0,-1636,381360] 1 [10:600:1]
88330y (1 curve)	1	2- 5+ 11- 73+	2-  3 5+ -1 11-  4 -2  0
Curve Equation t Generators 88330y1 [1,-1,1,-295263,-61679219] 1 [-2315946330485275534768696989734732994299223396103429125252:1296593366293953677985418552408212090906251933856567394709:7385972007184880997019657409766888563426653782723305664]
88330z (1 curve)	0	2- 5+ 11- 73-	2-  0 5+  1 11- -6  3  7
Curve Equation t 88330z1 [1,-1,1,-1775368,-909965493] 1
88330ba (1 curve)	0	2- 5+ 11- 73-	2-  0 5+ -2 11-  0  3 -5
Curve Equation t 88330ba1 [1,-1,1,32,-19] 1
88330bb (1 curve)	0	2- 5+ 11- 73-	2-  3 5+ -1 11- -4 -7  7
Curve Equation t 88330bb1 [1,-1,1,-324303,-71007593] 1
88330bc (1 curve)	0	2- 5+ 11- 73-	2-  3 5+ -5 11-  0 -3 -5
Curve Equation t 88330bc1 [1,-1,1,2719452,-10298285753] 1
88330bd (1 curve)	0	2- 5+ 11- 73-	2- -3 5+  5 11-  2  4  8
Curve Equation t 88330bd1 [1,-1,1,582,-1839879] 1
88330be (1 curve)	1	2- 5- 11+ 73+	2- -1 5-  1 11+  2  3  1
Curve Equation t Generators 88330be1 [1,1,1,65970,7778827] 1 [77:-3689:1]
88330bf (2 curves)	0	2- 5- 11- 73+	2-  0 5- -2 11-  2  6  0
Curve Equation t 88330bf1 [1,-1,1,-114852,-14952649] 2 88330bf2 [1,-1,1,-112432,-15614761] 2
88330bg (2 curves)	0	2- 5- 11- 73+	2- -2 5- -2 11-  4  3  4
Curve Equation t 88330bg1 [1,0,0,-30,-98] 1 88330bg2 [1,0,0,245,1497] 1
88330bh (1 curve)	0	2- 5- 11- 73+	2- -3 5-  1 11-  2 -6 -6
Curve Equation t 88330bh1 [1,-1,1,-507,4161] 1
88330bi (1 curve)	1	2- 5- 11- 73-	2-  0 5- -2 11- -6 -3  7
Curve Equation t Generators 88330bi1 [1,-1,1,-7162,-794439] 1 [201:-2521:1]
88330bj (1 curve)	1	2- 5- 11- 73-	2- -1 5-  3 11-  0  3  1
Curve Equation t Generators 88330bj1 [1,1,1,-220525,48032667] 1 [17:6646:1]
88330bk (1 curve)	1	2- 5- 11- 73-	2- -1 5- -3 11-  0 -6  4
Curve Equation t Generators 88330bk1 [1,1,1,-229600,-39998463] 1 [-235:1141:1]
88330bl (1 curve)	1	2- 5- 11- 73-	2-  2 5-  0 11-  0 -3 -5
Curve Equation t Generators 88330bl1 [1,1,1,-305,3895] 1 [149:1740:1]
88330bm (1 curve)	1	2- 5- 11- 73-	2- -2 5-  0 11-  4 -2 -3
Curve Equation t Generators 88330bm1 [1,0,0,-4540,-118128] 1 [112:828:1]

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

Part of Computational Number Theory
Back to Tables and computations