Cremona's table of elliptic curves

42194 = 2 · 17² · 73

Class	r	Atkin-Lehner	Eigenvalues
42194a (2 curves)	1	2+ 17+ 73+	2+  0  0  0  2  4 17+  0
Curve Equation t Generators 42194a1 [1,-1,0,-127792,-17549376] 2 [72961862475:1518938760669:107171875] 42194a2 [1,-1,0,-139352,-14176168] 2 [17443957:860940434:6859]
42194b (2 curves)	1	2+ 17+ 73+	2+  0  2  4  4 -4 17+ -4
Curve Equation t Generators 42194b1 [1,-1,0,-6701,-198683] 2 [-402:971:8] 42194b2 [1,-1,0,4859,-820611] 2 [380002:-4523231:2744]
42194c (1 curve)	1	2+ 17+ 73+	2+ -1 -1 -3 -2  2 17+  1
Curve Equation t Generators 42194c1 [1,1,0,-294063,-61588859] 1 [3240555555:-2218908703:5177717]
42194d (2 curves)	1	2+ 17+ 73+	2+ -1  3  1  6  2 17+ -7
Curve Equation t Generators 42194d1 [1,1,0,-172071,27401653] 1 [6429:-2516:27] 42194d2 [1,1,0,-170966,27772372] 1 [7026072:114188405:13824]
42194e (2 curves)	1	2+ 17+ 73+	2+  2  0  1  3  2 17+  2
Curve Equation t Generators 42194e1 [1,1,0,-6865,218517] 1 [1398:1253:27] 42194e2 [1,1,0,24160,1135616] 1 [350716224:102789300064:92959677]
42194f (2 curves)	1	2+ 17+ 73+	2+  2  0  4  3  5 17+ -1
Curve Equation t Generators 42194f1 [1,1,0,-16045,872133] 1 [1398:14145:8] 42194f2 [1,1,0,106780,-2925616] 1 [100156820426:-3206574006505:1397415032]
42194g (2 curves)	1	2+ 17+ 73+	2+  2  2  0  4 -4 17+ -8
Curve Equation t Generators 42194g1 [1,1,0,-7664,254540] 2 [43:61:1] 42194g2 [1,1,0,-10554,41258] 2 [-573:13954:27]
42194h (1 curve)	1	2+ 17+ 73+	2+ -2  0  3 -3  2 17+ -2
Curve Equation t Generators 42194h1 [1,0,1,-43501,-9973848] 1 [103845:685938:343]
42194i (1 curve)	1	2+ 17+ 73+	2+  3 -3  3  2 -2 17+ -3
Curve Equation t Generators 42194i1 [1,-1,0,14,-4] 1 [39:94:27]
42194j (1 curve)	1	2+ 17- 73-	2+  1  1  3  2  2 17-  1
Curve Equation t Generators 42194j1 [1,0,1,-1018,-12596] 1 [158:1864:1]
42194k (2 curves)	1	2+ 17- 73-	2+  1 -3 -1 -6  2 17- -7
Curve Equation t Generators 42194k1 [1,0,1,-49728670,134972421520] 3 [20259026505645606:-10363359766665907:4976563168017] 42194k2 [1,0,1,-49409325,136791528552] 1 [85764:2902180:27]
42194l (1 curve)	1	2+ 17- 73-	2+  2  0 -3  3  2 17- -2
Curve Equation t Generators 42194l1 [1,1,0,-150,-2092] 1 [1092:6070:27]
42194m (2 curves)	1	2+ 17- 73-	2+ -2  0 -1 -3  2 17-  2
Curve Equation t Generators 42194m1 [1,0,1,-1984136,1087462614] 3 [20969:3019307:1] 42194m2 [1,0,1,6982089,5530406426] 1 [453508310385:-66304214270972:21717639]
42194n (1 curve)	1	2+ 17- 73-	2+ -3  3 -3 -2 -2 17- -3
Curve Equation t Generators 42194n1 [1,-1,0,3992,-3608] 1 [217:3215:1]
42194o (1 curve)	2	2- 17+ 73+	2-  0  2 -2 -5 -7 17+ -7
Curve Equation t Generators 42194o1 [1,-1,1,-39214,3357245] 1 [-225:979:1]&[-55:2339:1]
42194p (2 curves)	0	2- 17+ 73+	2-  2 -3 -2  0  2 17+ -4
Curve Equation t 42194p1 [1,1,1,-168782,23122315] 1 42194p2 [1,1,1,-3509622,-2529279445] 1
42194q (2 curves)	0	2- 17- 73-	2- -2  3  2  0  2 17- -4
Curve Equation t 42194q1 [1,0,0,-584,4672] 3 42194q2 [1,0,0,-12144,-515528] 1

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