Cremona's table of elliptic curves

3575 = 5² · 11 · 13

Class	r	Atkin-Lehner	Eigenvalues
3575a (2 curves)	1	5+ 11+ 13+	0 -1 5+ -2 11+ 13+  6  2
Curve Equation t Generators 3575a1 [0,-1,1,-82083,9079068] 1 [166:5:1] 3575a2 [0,-1,1,-94583,6144693] 1 [791:20630:1]
3575b (2 curves)	1	5+ 11+ 13+	0  2 5+ -2 11+ 13+  3  5
Curve Equation t Generators 3575b1 [0,-1,1,-133,1043] 1 [-3:37:1] 3575b2 [0,-1,1,1117,-18332] 1 [172:2287:1]
3575c (1 curve)	1	5+ 11+ 13+	2  0 5+  0 11+ 13+  3 -1
Curve Equation t Generators 3575c1 [0,0,1,1075,-260969] 1 [2322370:3676373:39304]
3575d (1 curve)	0	5+ 11+ 13-	0  1 5+  2 11+ 13-  4  2
Curve Equation t 3575d1 [0,1,1,-33,-281] 1
3575e (1 curve)	0	5+ 11+ 13-	2  3 5+  4 11+ 13-  6 -2
Curve Equation t 3575e1 [0,0,1,-625,781] 1
3575f (1 curve)	2	5- 11+ 13+	-2 -3 5- -4 11+ 13+ -6 -2
Curve Equation t Generators 3575f1 [0,0,1,-25,6] 1 [-5:2:1]&[-1:5:1]
3575g (2 curves)	1	5- 11+ 13-	0  1 5-  2 11+ 13- -6  2
Curve Equation t Generators 3575g1 [0,1,1,-3283,71319] 3 [57:269:1] 3575g2 [0,1,1,-3783,47644] 1 [424:8651:1]

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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