Cremona's table of elliptic curves

12615 = 3 · 5 · 29²

Class	r	Atkin-Lehner	Eigenvalues
12615a (2 curves)	1	3+ 5+ 29+	0 3+ 5+  2 -3  2  0 -2
Curve Equation t Generators 12615a1 [0,-1,1,-9531,368786] 1 [-106:420:1] 12615a2 [0,-1,1,40929,1547027] 1 [-3245:85299:125]
12615b (4 curves)	0	3+ 5- 29+	1 3+ 5- -4  0  6 -2 -8
Curve Equation t 12615b1 [1,1,0,-25247,-1047024] 2 12615b2 [1,1,0,-365852,-85312701] 4 12615b3 [1,1,0,-5853377,-5453209656] 2 12615b4 [1,1,0,-328007,-103606974] 2
12615c (4 curves)	0	3+ 5- 29+	-1 3+ 5-  4  4  6 -6  4
Curve Equation t 12615c1 [1,1,1,-23145,1344990] 4 12615c2 [1,1,1,-27350,816842] 4 12615c3 [1,1,1,-216575,-38314888] 2 12615c4 [1,1,1,94595,6231200] 2
12615d (1 curve)	0	3+ 5- 29+	2 3+ 5-  1  4 -6  0  1
Curve Equation t 12615d1 [0,-1,1,10,-7] 1
12615e (1 curve)	0	3- 5+ 29+	0 3- 5+ -2 -1  6 -4  2
Curve Equation t 12615e1 [0,1,1,66159,-26720260] 1
12615f (8 curves)	1	3- 5- 29+	1 3- 5-  0  4 -2 -2 -4
Curve Equation t Generators 12615f1 [1,0,1,-18,4543] 2 [46599229:-1151710216:79507] 12615f2 [1,0,1,-4223,103781] 4 [2345:112347:1] 12615f3 [1,0,1,-8428,-138427] 4 [-81:160:1] 12615f4 [1,0,1,-67298,6714041] 2 [25025066:-1218675081:10648] 12615f5 [1,0,1,-113553,-14729777] 4 [-42726:30355:216] 12615f6 [1,0,1,29417,-1031569] 2 [1430:24511:8] 12615f7 [1,0,1,-1816578,-942537797] 2 [-46164705990:23025580843:59319000] 12615f8 [1,0,1,-92528,-20347657] 2 [737:17292:1]
12615g (1 curve)	0	3- 5- 29-	-2 3- 5-  1 -4 -6  0 -1
Curve Equation t 12615g1 [0,1,1,8130,-82426] 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