Cremona's table of elliptic curves

31815 = 3² · 5 · 7 · 101

Class	r	Atkin-Lehner	Eigenvalues
31815a (4 curves)	0	3- 5+ 7+ 101+	-1 3- 5+ 7+  0 -2 -2 -4
Curve Equation t 31815a1 [1,-1,1,-28508,-1518298] 2 31815a2 [1,-1,1,-136553,18059456] 4 31815a3 [1,-1,1,139072,81563456] 2 31815a4 [1,-1,1,-2140898,1206235172] 2
31815b (4 curves)	0	3- 5+ 7+ 101+	-1 3- 5+ 7+  0 -6  6  4
Curve Equation t 31815b1 [1,-1,1,-166343,-1463394] 2 31815b2 [1,-1,1,-1773788,906421542] 4 31815b3 [1,-1,1,-914783,1785011856] 2 31815b4 [1,-1,1,-28351913,58113177792] 2
31815c (1 curve)	0	3- 5+ 7+ 101+	2 3- 5+ 7+ -3 -3 -3 -2
Curve Equation t 31815c1 [0,0,1,1527,-30317] 1
31815d (2 curves)	1	3- 5+ 7+ 101-	1 3- 5+ 7+ -4 -4  2 -4
Curve Equation t Generators 31815d1 [1,-1,0,-1800,10611] 2 [-114:1515:8] 31815d2 [1,-1,0,6705,76950] 2 [558:7227:8]
31815e (1 curve)	1	3- 5+ 7+ 101-	1 3- 5+ 7+ -4 -4 -4  8
Curve Equation t Generators 31815e1 [1,-1,0,220275,60627636] 1 [37249968:2360712766:9261]
31815f (2 curves)	1	3- 5+ 7+ 101-	-1 3- 5+ 7+ -2  4 -2  4
Curve Equation t Generators 31815f1 [1,-1,1,-158,492] 2 [-10:36:1] 31815f2 [1,-1,1,-1103,-13494] 2 [-19:27:1]
31815g (1 curve)	1	3- 5+ 7- 101+	1 3- 5+ 7-  0 -4  0  4
Curve Equation t Generators 31815g1 [1,-1,0,-105,476] 1 [8:6:1]
31815h (4 curves)	1	3- 5+ 7- 101+	-1 3- 5+ 7-  4  2 -2 -4
Curve Equation t Generators 31815h1 [1,-1,1,-473,-3544] 2 [66:466:1] 31815h2 [1,-1,1,-1598,20756] 4 [-30:217:1] 31815h3 [1,-1,1,3127,117146] 2 [-9:301:1] 31815h4 [1,-1,1,-24323,1466066] 2 [96:46:1]
31815i (4 curves)	1	3- 5+ 7- 101+	-1 3- 5+ 7- -4 -2  6 -4
Curve Equation t Generators 31815i1 [1,-1,1,-4883,-129054] 2 [-42:45:1] 31815i2 [1,-1,1,-8528,92562] 4 [-90:398:1] 31815i3 [1,-1,1,32377,697956] 2 [110:-2418:1] 31815i4 [1,-1,1,-107753,13626852] 2 [197:27:1]
31815j (2 curves)	0	3- 5+ 7- 101-	-1 3- 5+ 7-  6  4  6  0
Curve Equation t 31815j1 [1,-1,1,-59243,5564882] 2 31815j2 [1,-1,1,-60188,5378906] 2
31815k (2 curves)	1	3- 5- 7+ 101+	-1 3- 5- 7+  0 -2 -2  2
Curve Equation t Generators 31815k1 [1,-1,1,-358502,-82530124] 2 [2256:101764:1] 31815k2 [1,-1,1,-353957,-84728086] 2 [822:12976:1]
31815l (2 curves)	1	3- 5- 7+ 101+	-1 3- 5- 7+  4  2 -2  2
Curve Equation t Generators 31815l1 [1,-1,1,-4127,101054] 2 [-68:286:1] 31815l2 [1,-1,1,418,308306] 2 [36:-626:1]
31815m (2 curves)	0	3- 5- 7+ 101-	1 3- 5- 7+  0  0 -6 -2
Curve Equation t 31815m1 [1,-1,0,-3564,-81005] 2 31815m2 [1,-1,0,-3339,-91850] 2

Data from Elliptic Curve Data by J. E. Cremona.
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