Cremona's table of elliptic curves

9945 = 3² · 5 · 13 · 17

Class	r	Atkin-Lehner	Eigenvalues
9945a (2 curves)	0	3+ 5+ 13+ 17-	-1 3+ 5+  4  2 13+ 17-  4
Curve Equation t 9945a1 [1,-1,1,322,-2564] 2 9945a2 [1,-1,1,-1973,-23678] 2
9945b (1 curve)	1	3+ 5+ 13- 17-	0 3+ 5+  4 -2 13- 17- -4
Curve Equation t Generators 9945b1 [0,0,1,-7218,381889] 1 [31:433:1]
9945c (2 curves)	0	3+ 5- 13+ 17+	1 3+ 5-  4 -2 13+ 17+  4
Curve Equation t 9945c1 [1,-1,0,36,83] 2 9945c2 [1,-1,0,-219,950] 2
9945d (1 curve)	1	3+ 5- 13- 17+	0 3+ 5-  4  2 13- 17+ -4
Curve Equation t Generators 9945d1 [0,0,1,-64962,-10311010] 1 [348:3037:1]
9945e (2 curves)	1	3- 5+ 13+ 17-	1 3- 5+ -2  0 13+ 17-  2
Curve Equation t Generators 9945e1 [1,-1,0,-180,891] 2 [10:-1:1] 9945e2 [1,-1,0,225,4050] 2 [10:80:1]
9945f (1 curve)	1	3- 5+ 13- 17+	0 3- 5+  2 -2 13- 17+  2
Curve Equation t Generators 9945f1 [0,0,1,-48,148] 1 [4:4:1]
9945g (1 curve)	1	3- 5- 13+ 17+	0 3- 5-  2 -2 13+ 17+  2
Curve Equation t Generators 9945g1 [0,0,1,-5862,-278753] 1 [127:1012:1]
9945h (2 curves)	1	3- 5- 13+ 17+	1 3- 5- -2  4 13+ 17+ -2
Curve Equation t Generators 9945h1 [1,-1,0,-129489,17967248] 2 [212:-6:1] 9945h2 [1,-1,0,-129444,17980325] 2 [116:2067:1]
9945i (4 curves)	0	3- 5- 13- 17+	1 3- 5-  4  0 13- 17+  4
Curve Equation t 9945i1 [1,-1,0,-1224,-9045] 2 9945i2 [1,-1,0,-8829,314928] 4 9945i3 [1,-1,0,-140454,20295603] 2 9945i4 [1,-1,0,1116,977265] 2
9945j (4 curves)	0	3- 5- 13- 17+	-1 3- 5-  4  4 13- 17+  0
Curve Equation t 9945j1 [1,-1,1,2042473,-1775877474] 4 9945j2 [1,-1,1,-15535652,-19016502474] 4 9945j3 [1,-1,1,-234995027,-1386423976224] 2 9945j4 [1,-1,1,-77326277,244780033776] 2
9945k (4 curves)	1	3- 5- 13- 17-	1 3- 5- -4  4 13- 17- -4
Curve Equation t Generators 9945k1 [1,-1,0,-234,-1265] 2 [54:349:1] 9945k2 [1,-1,0,-639,4648] 4 [24:40:1] 9945k3 [1,-1,0,-9414,353893] 4 [462:-85:8] 9945k4 [1,-1,0,1656,28975] 2 [14:227:1]

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

Part of Computational Number Theory
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