Cremona's table of elliptic curves

3174 = 2 · 3 · 23²

Class	r	Atkin-Lehner	Eigenvalues
3174a (2 curves)	0	2+ 3+ 23-	2+ 3+  2  2  6 -2  0  0
Curve Equation t 3174a1 [1,1,0,-804,-19332] 2 3174a2 [1,1,0,-16674,-835050] 2
3174b (1 curve)	0	2+ 3+ 23-	2+ 3+  2  5 -3  4  6  0
Curve Equation t 3174b1 [1,1,0,-459,3645] 1
3174c (1 curve)	0	2+ 3+ 23-	2+ 3+ -2 -5  3  4 -6  0
Curve Equation t 3174c1 [1,1,0,-243086,-46778700] 1
3174d (4 curves)	1	2+ 3- 23-	2+ 3-  0 -2  0  2  0 -2
Curve Equation t Generators 3174d1 [1,0,1,-18791,-1038310] 2 [251:3048:1] 3174d2 [1,0,1,-304451,-64683358] 2 [872:17814:1] 3174d3 [1,0,1,100234,-2114296] 2 [47988:1399513:64] 3174d4 [1,0,1,-407606,-17146360] 2 [-102414:1852873:216]
3174e (1 curve)	1	2- 3+ 23-	2- 3+  1  0  0 -5 -2 -4
Curve Equation t Generators 3174e1 [1,1,1,-195,1569] 1 [19:-82:1]
3174f (1 curve)	1	2- 3+ 23-	2- 3+ -1  0  0 -5  2  4
Curve Equation t Generators 3174f1 [1,1,1,-103166,-20123845] 1 [2865:150919:1]
3174g (4 curves)	1	2- 3+ 23-	2- 3+ -2  0  0 -2 -2  8
Curve Equation t Generators 3174g1 [1,1,1,1576,-22903] 4 [111:1183:1] 3174g2 [1,1,1,-9004,-226039] 4 [45479:308433:343] 3174g3 [1,1,1,-130674,-18233199] 2 [6116098898:-183382387313:6028568] 3174g4 [1,1,1,-56614,4992017] 2 [-402:22415:8]

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

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