Cremona's table of elliptic curves

3630 = 2 · 3 · 5 · 11²

Class	r	Atkin-Lehner	Eigenvalues
3630a (1 curve)	0	2+ 3+ 5+ 11-	2+ 3+ 5+ -1 11-  7  1 -7
Curve Equation t 3630a1 [1,1,0,-783,-8763] 1
3630b (1 curve)	0	2+ 3+ 5+ 11-	2+ 3+ 5+ -3 11- -1  7  5
Curve Equation t 3630b1 [1,1,0,-4963,-55667] 1
3630c (4 curves)	0	2+ 3+ 5+ 11-	2+ 3+ 5+ -4 11- -2 -2 -4
Curve Equation t 3630c1 [1,1,0,-4872188,-3912956208] 2 3630c2 [1,1,0,-14784508,17059530448] 4 3630c3 [1,1,0,-221781628,1271089482832] 2 3630c4 [1,1,0,33615492,105466970448] 2
3630d (6 curves)	1	2+ 3+ 5- 11-	2+ 3+ 5-  0 11- -6 -2  4
Curve Equation t Generators 3630d1 [1,1,0,30853,-185379] 2 [307825:9247848:343] 3630d2 [1,1,0,-124027,-1641251] 4 [438:5101:1] 3630d3 [1,1,0,-1430827,-657916211] 2 [3705:210083:1] 3630d4 [1,1,0,-1295307,564555501] 4 [17:23284:1] 3630d5 [1,1,0,-20701287,36244390329] 4 [1953:56196:1] 3630d6 [1,1,0,-629807,1144738401] 2 [237:31644:1]
3630e (1 curve)	1	2+ 3+ 5- 11-	2+ 3+ 5- -1 11-  1 -5  1
Curve Equation t Generators 3630e1 [1,1,0,-3632,-78294] 1 [-35:104:1]
3630f (1 curve)	1	2+ 3+ 5- 11-	2+ 3+ 5- -3 11- -3  1  1
Curve Equation t Generators 3630f1 [1,1,0,-387,-2889] 1 [-13:19:1]
3630g (2 curves)	0	2+ 3- 5+ 11+	2+ 3- 5+  2 11+  4  6 -2
Curve Equation t 3630g1 [1,0,1,-1402514,-623939164] 2 3630g2 [1,0,1,301166,-2042763868] 2
3630h (2 curves)	1	2+ 3- 5+ 11-	2+ 3- 5+  1 11- -5  3 -5
Curve Equation t Generators 3630h1 [1,0,1,-5129,-141748] 1 [-42:22:1] 3630h2 [1,0,1,-14369,482876] 1 [-130:462:1]
3630i (2 curves)	1	2+ 3- 5+ 11-	2+ 3- 5+ -1 11- -1 -3 -1
Curve Equation t Generators 3630i1 [1,0,1,-124,482] 3 [-12:22:1] 3630i2 [1,0,1,-1939,-32914] 1 [-210:161:8]
3630j (2 curves)	1	2+ 3- 5- 11+	2+ 3- 5- -2 11+  0 -2 -2
Curve Equation t Generators 3630j1 [1,0,1,-1378,19556] 2 [10:77:1] 3630j2 [1,0,1,-1158,26068] 2 [59:-435:1]
3630k (6 curves)	0	2+ 3- 5- 11-	2+ 3- 5-  0 11-  2 -2  4
Curve Equation t 3630k1 [1,0,1,602,-22024] 2 3630k2 [1,0,1,-9078,-308552] 4 3630k3 [1,0,1,-142178,-20646232] 2 3630k4 [1,0,1,-30858,1730056] 4 3630k5 [1,0,1,-470088,124011688] 2 3630k6 [1,0,1,59892,10006456] 2
3630l (1 curve)	0	2+ 3- 5- 11-	2+ 3- 5-  3 11-  5  7  7
Curve Equation t 3630l1 [1,0,1,-17166878,-24498325744] 1
3630m (2 curves)	0	2+ 3- 5- 11-	2+ 3- 5-  5 11-  5 -3 -1
Curve Equation t 3630m1 [1,0,1,-103458,-2798732] 3 3630m2 [1,0,1,-6392433,-6221337212] 1
3630n (4 curves)	1	2- 3+ 5+ 11-	2- 3+ 5+  0 11- -2  2 -8
Curve Equation t Generators 3630n1 [1,1,1,-168616,26579609] 4 [-467:2169:1] 3630n2 [1,1,1,-171036,25774233] 4 [5187:3593:27] 3630n3 [1,1,1,-503786,-105462367] 2 [-961764:3425359:1728] 3630n4 [1,1,1,122994,105515169] 2 [14331354:3684430465:216]
3630o (1 curve)	1	2- 3+ 5+ 11-	2- 3+ 5+  1 11- -7 -1  7
Curve Equation t Generators 3630o1 [1,1,1,-94806,11189619] 1 [171:35:1]
3630p (1 curve)	1	2- 3+ 5+ 11-	2- 3+ 5+  3 11-  1 -7 -5
Curve Equation t Generators 3630p1 [1,1,1,-41,23] 1 [-1:8:1]
3630q (1 curve)	0	2- 3+ 5- 11-	2- 3+ 5-  1 11- -1  5 -1
Curve Equation t 3630q1 [1,1,1,-30,45] 1
3630r (1 curve)	0	2- 3+ 5- 11-	2- 3+ 5-  3 11-  3 -1 -1
Curve Equation t 3630r1 [1,1,1,-46890,3610905] 1
3630s (4 curves)	0	2- 3+ 5- 11-	2- 3+ 5-  4 11-  2  2  8
Curve Equation t 3630s1 [1,1,1,-2725,45035] 4 3630s2 [1,1,1,-12405,-493173] 4 3630s3 [1,1,1,-193905,-32945373] 2 3630s4 [1,1,1,14215,-2292685] 2
3630t (2 curves)	1	2- 3- 5+ 11+	2- 3- 5+ -2 11+ -4 -6  2
Curve Equation t Generators 3630t1 [1,0,0,-11591,467721] 2 [406:-8123:1] 3630t2 [1,0,0,2489,1534985] 2 [398:-8299:1]
3630u (2 curves)	0	2- 3- 5+ 11-	2- 3- 5+  1 11-  1  3  1
Curve Equation t 3630u1 [1,0,0,-14946,-656820] 1 3630u2 [1,0,0,-234561,43573641] 1
3630v (2 curves)	0	2- 3- 5+ 11-	2- 3- 5+ -1 11-  5 -3  5
Curve Equation t 3630v1 [1,0,0,-620551,188045705] 3 3630v2 [1,0,0,-1738591,-644446879] 1
3630w (8 curves)	0	2- 3- 5+ 11-	2- 3- 5+  4 11- -2 -6  4
Curve Equation t 3630w1 [1,0,0,179,-2815] 2 3630w2 [1,0,0,-2241,-37179] 4 3630w3 [1,0,0,-1636,83216] 2 3630w4 [1,0,0,-34911,-2513565] 2 3630w5 [1,0,0,-8291,249591] 2 3630w6 [1,0,0,-40356,3111120] 4 3630w7 [1,0,0,-54876,668856] 2 3630w8 [1,0,0,-645356,199494120] 2
3630x (2 curves)	0	2- 3- 5- 11+	2- 3- 5-  2 11+  0  2  2
Curve Equation t 3630x1 [1,0,0,-166680,-26196048] 2 3630x2 [1,0,0,-140060,-34836900] 2
3630y (1 curve)	1	2- 3- 5- 11-	2- 3- 5- -3 11- -5 -7 -7
Curve Equation t Generators 3630y1 [1,0,0,-141875,18393057] 1 [-386:4153:1]
3630z (2 curves)	1	2- 3- 5- 11-	2- 3- 5- -5 11- -5  3  1
Curve Equation t Generators 3630z1 [1,0,0,-855,2025] 1 [0:45:1] 3630z2 [1,0,0,-52830,4669380] 1 [132:-54:1]

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