Cremona's table of elliptic curves

17958 = 2 · 3 · 41 · 73

Class	r	Atkin-Lehner	Eigenvalues
17958a (2 curves)	1	2+ 3+ 41+ 73+	2+ 3+ -2  2  2  2 -2  4
Curve Equation t Generators 17958a1 [1,1,0,-7776,-265536] 2 [-51:66:1] 17958a2 [1,1,0,-2856,-591240] 2 [277:4330:1]
17958b (2 curves)	1	2+ 3+ 41+ 73+	2+ 3+ -4  4 -2  0  2 -4
Curve Equation t Generators 17958b1 [1,1,0,-657,6165] 2 [11:15:1] 17958b2 [1,1,0,-10497,409605] 2 [59:-26:1]
17958c (2 curves)	0	2+ 3+ 41+ 73-	2+ 3+  2  2  6  6 -2 -4
Curve Equation t 17958c1 [1,1,0,-2364,42192] 2 17958c2 [1,1,0,516,141840] 2
17958d (2 curves)	1	2+ 3+ 41- 73-	2+ 3+  0  0  6 -4  2  8
Curve Equation t Generators 17958d1 [1,1,0,-4454975,-3606334587] 2 [668961481:50021295955:103823] 17958d2 [1,1,0,-6816935,630549261] 2 [25205:3967616:1]
17958e (2 curves)	0	2+ 3- 41+ 73+	2+ 3-  4  2  4  4 -2  0
Curve Equation t 17958e1 [1,0,1,-6629,159104] 2 17958e2 [1,0,1,15511,1000424] 2
17958f (4 curves)	1	2+ 3- 41+ 73-	2+ 3-  0  2  0  2  0 -4
Curve Equation t Generators 17958f1 [1,0,1,-808261,279621500] 6 [-449:23720:1] 17958f2 [1,0,1,-808671,279323512] 6 [-4781854:-247777911:10648] 17958f3 [1,0,1,-840256,256276814] 2 [289:5987:1] 17958f4 [1,0,1,-3597096,-2372645810] 2 [6686:518643:1]
17958g (4 curves)	1	2+ 3- 41+ 73-	2+ 3-  0  2  0  2  0 -4
Curve Equation t Generators 17958g1 [1,0,1,-28031,-214306] 6 [294:3973:1] 17958g2 [1,0,1,-326921,-71828350] 6 [780:11770:1] 17958g3 [1,0,1,-1654106,-818963764] 2 [209145:4037573:125] 17958g4 [1,0,1,-26465666,-52407159316] 2 [9619775130:-1586552755313:343000]
17958h (2 curves)	1	2+ 3- 41+ 73-	2+ 3-  2 -2  2 -2  6  4
Curve Equation t Generators 17958h1 [1,0,1,-2545,-49612] 2 [163:1886:1] 17958h2 [1,0,1,-2365,-56884] 2 [1046:10423:8]
17958i (2 curves)	1	2- 3+ 41+ 73-	2- 3+  2  2 -6  0 -8  8
Curve Equation t Generators 17958i1 [1,1,1,-4185122,-3290996689] 2 [419445:17671127:125] 17958i2 [1,1,1,-5680162,-732684241] 2 [15001:1806339:1]
17958j (6 curves)	2	2- 3+ 41- 73-	2- 3+ -2  0 -4 -2 -6 -4
Curve Equation t Generators 17958j1 [1,1,1,-24374,1439795] 4 [-159:1231:1]&[-145:1469:1] 17958j2 [1,1,1,-44854,-1361869] 8 [-175:1167:1]&[-63:1135:1] 17958j3 [1,1,1,-582774,-171344589] 4 [-433:435:1]&[24533:3828555:1] 17958j4 [1,1,1,165386,-10276045] 4 [71:1317:1]&[117:3211:1] 17958j5 [1,1,1,-9322334,-10959457453] 2 [12999:1430359:1]&[29533709688:-12124218867937:175616] 17958j6 [1,1,1,-449934,-251367405] 2 [879:5327:1]&[12851:1448391:1]
17958k (1 curve)	0	2- 3+ 41- 73-	2- 3+  3  0  0  5  8  2
Curve Equation t 17958k1 [1,1,1,-829,-9901] 1

Data from Elliptic Curve Data by J. E. Cremona.
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