Cremona's table of elliptic curves

102225 = 3 · 5² · 29 · 47

Class	r	Atkin-Lehner	Eigenvalues
102225a (1 curve)	1	3+ 5+ 29+ 47+	0 3+ 5+ -4  5  0 -2  7
Curve Equation t Generators 102225a1 [0,-1,1,47,693] 1 [43:283:1]
102225b (4 curves)	0	3+ 5+ 29+ 47-	-1 3+ 5+  0 -4  2  2  0
Curve Equation t 102225b1 [1,1,1,-8213,-1884094] 2 102225b2 [1,1,1,-284338,-58213594] 4 102225b3 [1,1,1,-442963,13802156] 2 102225b4 [1,1,1,-4543713,-3729794844] 2
102225c (1 curve)	0	3+ 5+ 29+ 47-	2 3+ 5+ -3  5  2  2  3
Curve Equation t 102225c1 [0,-1,1,-428,3563] 1
102225d (2 curves)	0	3+ 5+ 29- 47+	1 3+ 5+  0 -2 -4 -2  0
Curve Equation t 102225d1 [1,1,0,-19125,-1026000] 2 102225d2 [1,1,0,-18500,-1095375] 2
102225e (2 curves)	0	3+ 5+ 29- 47+	1 3+ 5+ -2  2  4  2 -4
Curve Equation t 102225e1 [1,1,0,-36625,1399000] 2 102225e2 [1,1,0,122000,10440625] 2
102225f (1 curve)	0	3+ 5+ 29- 47+	2 3+ 5+  5 -1  6  6  5
Curve Equation t 102225f1 [0,-1,1,-1458,783443] 1
102225g (1 curve)	0	3+ 5+ 29- 47+	-2 3+ 5+  4 -4 -5 -4  2
Curve Equation t 102225g1 [0,-1,1,-971508,-1467573082] 1
102225h (2 curves)	2	3+ 5- 29+ 47+	1 3+ 5- -4 -6  4 -6 -2
Curve Equation t Generators 102225h1 [1,1,0,-479575,107029000] 2 [-4170:119585:8]&[-2338:120455:8] 102225h2 [1,1,0,901050,610957125] 2 [1662:226455:8]&[260:29245:1]
102225i (2 curves)	2	3+ 5- 29+ 47+	-1 3+ 5- -4 -2  4 -2 -6
Curve Equation t Generators 102225i1 [1,1,1,-5458,-121594] 2 [-41:208:1]&[-30:142:1] 102225i2 [1,1,1,12767,-741244] 2 [56:363:1]&[110:1362:1]
102225j (2 curves)	2	3+ 5- 29- 47-	1 3+ 5-  2 -4 -2  2 -6
Curve Equation t Generators 102225j1 [1,1,0,-180,675] 2 [-10:45:1]&[-10:245:8] 102225j2 [1,1,0,-905,-10200] 2 [-20:30:1]&[-138:273:8]
102225k (2 curves)	2	3+ 5- 29- 47-	-1 3+ 5- -4  0  2 -2 -6
Curve Equation t Generators 102225k1 [1,1,1,-31043,-2102944] 2 [-818:1391:8]&[-100:167:1] 102225k2 [1,1,1,-10018,-4878244] 2 [224:1932:1]&[3822:77951:8]
102225l (1 curve)	0	3- 5+ 29+ 47+	0 3- 5+  2  2 -3 -6 -6
Curve Equation t 102225l1 [0,1,1,-79133,-8673106] 1
102225m (1 curve)	1	3- 5+ 29+ 47-	0 3- 5+  4 -1 -4  2 -6
Curve Equation t Generators 102225m1 [0,1,1,-51033,-6420031] 1 [663:-15863:1]
102225n (1 curve)	1	3- 5+ 29+ 47-	1 3- 5+ -5  1  4  2 -4
Curve Equation t Generators 102225n1 [1,0,1,849,3073] 1 [17:141:1]
102225o (2 curves)	2	3- 5+ 29- 47-	-1 3- 5+  2 -4 -2 -2 -4
Curve Equation t Generators 102225o1 [1,0,0,-3063,-64008] 2 [117:-1146:1]&[93:630:1] 102225o2 [1,0,0,562,-205383] 2 [57:84:1]&[112:-1181:1]
102225p (1 curve)	1	3- 5- 29+ 47+	-2 3- 5-  3  5 -2 -2  3
Curve Equation t Generators 102225p1 [0,1,1,-10708,423994] 1 [83:337:1]
102225q (1 curve)	0	3- 5- 29+ 47-	0 3- 5-  4  5  0  2  7
Curve Equation t 102225q1 [0,1,1,1167,88994] 1
102225r (2 curves)	0	3- 5- 29+ 47-	1 3- 5-  4 -2 -4  2 -6
Curve Equation t 102225r1 [1,0,1,-136451,-14926327] 2 102225r2 [1,0,1,319174,-93293827] 2
102225s (2 curves)	0	3- 5- 29+ 47-	-1 3- 5-  4 -6 -4  6 -2
Curve Equation t 102225s1 [1,0,0,-19183,856232] 2 102225s2 [1,0,0,36042,4887657] 2
102225t (2 curves)	0	3- 5- 29- 47+	1 3- 5-  4  0 -2  2 -6
Curve Equation t 102225t1 [1,0,1,-776076,-261315827] 2 102225t2 [1,0,1,-250451,-609279577] 2
102225u (2 curves)	2	3- 5- 29- 47+	-1 3- 5- -2 -4  2 -2 -6
Curve Equation t Generators 102225u1 [1,0,0,-4513,93392] 2 [-73:224:1]&[-64:380:1] 102225u2 [1,0,0,-22638,-1229733] 2 [213:1797:1]&[-762:2415:8]
102225v (1 curve)	1	3- 5- 29- 47-	-2 3- 5- -5 -1 -6 -6  5
Curve Equation t Generators 102225v1 [0,1,1,-58,6244] 1 [-13:70:1]

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