Cremona's table of elliptic curves

36360 = 2³ · 3² · 5 · 101

Class	r	Atkin-Lehner	Eigenvalues
36360a (1 curve)	0	2+ 3+ 5- 101+	2+ 3+ 5- -1 -1  4 -3  1
Curve Equation t 36360a1 [0,0,0,-162,-999] 1
36360b (2 curves)	0	2+ 3- 5+ 101+	2+ 3- 5+  2  0  2 -2 -4
Curve Equation t 36360b1 [0,0,0,-318,-2167] 2 36360b2 [0,0,0,-543,1298] 2
36360c (1 curve)	0	2+ 3- 5+ 101+	2+ 3- 5+  3  1  0  3 -7
Curve Equation t 36360c1 [0,0,0,-46535583,-122381580782] 1
36360d (1 curve)	0	2+ 3- 5+ 101+	2+ 3- 5+  5 -3 -4  7  5
Curve Equation t 36360d1 [0,0,0,-80283,9348518] 1
36360e (1 curve)	1	2+ 3- 5+ 101-	2+ 3- 5+ -1 -4 -3 -3 -4
Curve Equation t Generators 36360e1 [0,0,0,717,33518] 1 [-14:144:1]
36360f (1 curve)	1	2+ 3- 5+ 101-	2+ 3- 5+  3  1  0  3 -1
Curve Equation t Generators 36360f1 [0,0,0,-13998,663433] 1 [-112:909:1]
36360g (1 curve)	0	2+ 3- 5- 101-	2+ 3- 5- -1 -5  4  5 -3
Curve Equation t 36360g1 [0,0,0,1473,1906] 1
36360h (2 curves)	0	2+ 3- 5- 101-	2+ 3- 5- -4  2  6 -6  8
Curve Equation t 36360h1 [0,0,0,-29127,873146] 2 36360h2 [0,0,0,102093,6568094] 2
36360i (2 curves)	0	2+ 3- 5- 101-	2+ 3- 5- -4 -2 -2  2  0
Curve Equation t 36360i1 [0,0,0,-23671767,-44329632374] 2 36360i2 [0,0,0,-23670147,-44336003186] 2
36360j (1 curve)	1	2- 3+ 5+ 101-	2- 3+ 5+ -1  1  4  3  1
Curve Equation t Generators 36360j1 [0,0,0,-18,37] 1 [2:-3:1]
36360k (4 curves)	1	2- 3- 5+ 101+	2- 3- 5+  0  0  2  2  4
Curve Equation t Generators 36360k1 [0,0,0,-37983,-2849182] 2 [1237:42930:1] 36360k2 [0,0,0,-39603,-2592898] 4 [154655:5365296:125] 36360k3 [0,0,0,69477,-14351722] 2 [7728636590:275200949538:6331625] 36360k4 [0,0,0,-174603,25568102] 2 [8619822910:290268037737:6859000]
36360l (4 curves)	1	2- 3- 5+ 101+	2- 3- 5+  0  0  6 -2  4
Curve Equation t Generators 36360l1 [0,0,0,-24618,-1486667] 2 [-304590:13247:3375] 36360l2 [0,0,0,-25743,-1343342] 4 [689:17550:1] 36360l3 [0,0,0,47157,-7569002] 2 [83695:2250612:125] 36360l4 [0,0,0,-116643,14055118] 2 [19209:460720:27]
36360m (4 curves)	1	2- 3- 5+ 101+	2- 3- 5+  0 -4  6 -2 -4
Curve Equation t Generators 36360m1 [0,0,0,-31818,1906373] 2 [-82:1991:1] 36360m2 [0,0,0,-490863,132366962] 4 [-323:16038:1] 36360m3 [0,0,0,-472683,142624118] 2 [2219:100100:1] 36360m4 [0,0,0,-7853763,8471587502] 2 [2707:83952:1]
36360n (1 curve)	1	2- 3- 5+ 101+	2- 3- 5+  1 -1  0  7 -5
Curve Equation t Generators 36360n1 [0,0,0,42,173] 1 [-2:9:1]
36360o (2 curves)	1	2- 3- 5+ 101+	2- 3- 5+  2  4 -6  6 -4
Curve Equation t Generators 36360o1 [0,0,0,-678,-3427] 2 [-22:29:1] 36360o2 [0,0,0,-5223,142922] 2 [-79:250:1]
36360p (1 curve)	1	2- 3- 5+ 101+	2- 3- 5+ -3  5  0 -5  5
Curve Equation t Generators 36360p1 [0,0,0,-3,-1618] 1 [19:72:1]
36360q (4 curves)	1	2- 3- 5+ 101+	2- 3- 5+  4  0 -2 -2 -4
Curve Equation t Generators 36360q1 [0,0,0,-2178,21573] 2 [-2:161:1] 36360q2 [0,0,0,-30303,2029698] 4 [1:1414:1] 36360q3 [0,0,0,-25803,2653398] 2 [243:3276:1] 36360q4 [0,0,0,-484803,129925998] 2 [451:1736:1]
36360r (1 curve)	0	2- 3- 5+ 101-	2- 3- 5+ -1 -3 -4 -5 -1
Curve Equation t 36360r1 [0,0,0,-52518,-4633067] 1
36360s (2 curves)	0	2- 3- 5+ 101-	2- 3- 5+ -4 -2  4  0  4
Curve Equation t 36360s1 [0,0,0,-2163,-29378] 2 36360s2 [0,0,0,-11883,474118] 2
36360t (2 curves)	0	2- 3- 5- 101+	2- 3- 5-  0 -6 -4  4 -4
Curve Equation t 36360t1 [0,0,0,-7347,-84994] 2 36360t2 [0,0,0,-94827,-11229946] 2
36360u (1 curve)	0	2- 3- 5- 101+	2- 3- 5- -1 -2  6 -3 -1
Curve Equation t 36360u1 [0,0,0,-22107,-1267306] 1
36360v (1 curve)	2	2- 3- 5- 101+	2- 3- 5- -3 -3 -4 -7  1
Curve Equation t Generators 36360v1 [0,0,0,-1767,28874] 1 [13:90:1]&[25:18:1]
36360w (2 curves)	1	2- 3- 5- 101-	2- 3- 5- -4  6 -2 -6  0
Curve Equation t Generators 36360w1 [0,0,0,-1407,19874] 2 [-35:162:1] 36360w2 [0,0,0,213,62966] 2 [-29:180:1]

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