Cremona's table of elliptic curves

31775 = 5² · 31 · 41

Class	r	Atkin-Lehner	Eigenvalues
31775a (4 curves)	2	5+ 31+ 41-	1  0 5+  0  0 -2 -6 -4
Curve Equation t Generators 31775a1 [1,-1,0,-3917,-1409384] 2 [204:2398:1]&[2748:142618:1] 31775a2 [1,-1,0,-214042,-37761009] 4 [-2226:4647:8]&[122214:42663393:1] 31775a3 [1,-1,0,-372917,25947866] 2 [574:588:1]&[30574:1850779:8] 31775a4 [1,-1,0,-3417167,-2430495384] 2 [3284:145858:1]&[256596:13937877:64]
31775b (2 curves)	0	5+ 31+ 41-	1 -2 5+  2 -2  2 -6 -2
Curve Equation t 31775b1 [1,0,1,-325651,71351073] 2 31775b2 [1,0,1,-205526,124686573] 2
31775c (2 curves)	2	5+ 31+ 41-	-1 -2 5+ -4 -6  4  0 -4
Curve Equation t Generators 31775c1 [1,0,0,62,6867] 2 [-13:69:1]&[7:84:1] 31775c2 [1,0,0,-5063,134992] 2 [-3:389:1]&[38:2647:8]
31775d (1 curve)	2	5+ 31+ 41-	-2  0 5+ -3 -3 -2  0 -4
Curve Equation t Generators 31775d1 [0,0,1,-425,3406] 1 [-20:62:1]&[10:-13:1]
31775e (1 curve)	2	5+ 31- 41+	0 -2 5+  1 -3 -2 -2  0
Curve Equation t Generators 31775e1 [0,1,1,617,-10231] 1 [43:-313:1]&[106:165:8]
31775f (2 curves)	0	5+ 31- 41+	-1 -2 5+  2 -4  0 -8  4
Curve Equation t 31775f1 [1,0,0,-441397438,2651181951867] 2 31775f2 [1,0,0,-6544913063,203780332342492] 2
31775g (2 curves)	1	5+ 31- 41-	1 -2 5+  2 -2 -6  2 -2
Curve Equation t Generators 31775g1 [1,0,1,-889401,322681823] 2 [413:4877:1] 31775g2 [1,0,1,-769276,413015823] 2 [4854:101791:8]
31775h (2 curves)	1	5+ 31- 41-	-1  0 5+ -2 -4  4  4 -2
Curve Equation t Generators 31775h1 [1,-1,1,-280,-1278] 2 [-12:21:1] 31775h2 [1,-1,1,-4155,-102028] 2 [-37:21:1]
31775i (2 curves)	1	5+ 31- 41-	-1 -2 5+ -4  2  0  4  4
Curve Equation t Generators 31775i1 [1,0,0,-29438,-1513133] 2 [-89:680:1] 31775i2 [1,0,0,67437,-9360008] 2 [167:2479:1]

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

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