Cremona's table of elliptic curves

8385 = 3 · 5 · 13 · 43

Class	r	Atkin-Lehner	Eigenvalues
8385a (2 curves)	1	3+ 5+ 13+ 43+	-1 3+ 5+  2  2 13+  6  2
Curve Equation t Generators 8385a1 [1,1,1,-67926,6712074] 2 [336:4518:1] 8385a2 [1,1,1,-1083551,433680824] 2 [74:18775:1]
8385b (4 curves)	0	3+ 5+ 13- 43+	1 3+ 5+  0  0 13-  2  4
Curve Equation t 8385b1 [1,1,0,-103,2128] 2 8385b2 [1,1,0,-3228,69003] 4 8385b3 [1,1,0,-4853,-9972] 2 8385b4 [1,1,0,-51603,4490478] 4
8385c (4 curves)	1	3+ 5+ 13- 43-	1 3+ 5+ -4 -4 13- -6  8
Curve Equation t Generators 8385c1 [1,1,0,-433,8848] 2 [144:1648:1] 8385c2 [1,1,0,-9678,362007] 4 [-6:651:1] 8385c3 [1,1,0,-12473,132258] 2 [34674:310163:216] 8385c4 [1,1,0,-154803,23378832] 2 [256:652:1]
8385d (1 curve)	0	3- 5+ 13+ 43+	0 3- 5+  3  3 13+ -3  0
Curve Equation t 8385d1 [0,1,1,-21,-55] 1
8385e (2 curves)	0	3- 5+ 13+ 43+	-1 3- 5+  2  2 13+  2  6
Curve Equation t 8385e1 [1,0,0,-47431,3930536] 2 8385e2 [1,0,0,-88056,-3812589] 2

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

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