Cremona's table of elliptic curves

88245 = 3² · 5 · 37 · 53

Class	r	Atkin-Lehner	Eigenvalues
88245a (2 curves)	0	3+ 5+ 37+ 53-	1 3+ 5+ -2  0 -2  2 -4
Curve Equation t 88245a1 [1,-1,0,3931185,-681230080] 2 88245a2 [1,-1,0,-16167210,-5508864559] 2
88245b (2 curves)	0	3+ 5- 37+ 53+	-1 3+ 5- -2  0 -2 -2 -4
Curve Equation t 88245b1 [1,-1,1,436798,25085144] 2 88245b2 [1,-1,1,-1796357,204630806] 2
88245c (2 curves)	1	3- 5+ 37- 53+	-1 3- 5+ -4  4 -2  2  0
Curve Equation t Generators 88245c1 [1,-1,1,-293,1356] 2 [-4:51:1] 88245c2 [1,-1,1,832,8556] 2 [0:92:1]
88245d (2 curves)	2	3- 5+ 37- 53-	0 3- 5+ -1 -6  2 -3 -7
Curve Equation t Generators 88245d1 [0,0,1,1302,-32697] 1 [21:62:1]&[418:3371:8] 88245d2 [0,0,1,-12198,1106028] 3 [86:832:1]&[-114:1007:1]
88245e (1 curve)	1	3- 5- 37+ 53+	-1 3- 5- -2  3  1 -2 -1
Curve Equation t Generators 88245e1 [1,-1,1,-1035122,405612596] 1 [586:-231:1]
88245f (1 curve)	0	3- 5- 37+ 53-	0 3- 5-  0  2 -2 -7  4
Curve Equation t 88245f1 [0,0,1,-74825292,-249194423543] 1
88245g (1 curve)	1	3- 5- 37- 53-	1 3- 5-  2  3  3 -6  7
Curve Equation t Generators 88245g1 [1,-1,0,-4074,98243] 1 [-58:399:1]

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

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