Cremona's table of elliptic curves

34850 = 2 · 5² · 17 · 41

Class	r	Atkin-Lehner	Eigenvalues
34850a (1 curve)	1	2+ 5+ 17+ 41+	2+  1 5+ -2  3  1 17+ -4
Curve Equation t Generators 34850a1 [1,0,1,-1176,16998] 1 [-12:177:1]
34850b (1 curve)	1	2+ 5+ 17+ 41+	2+  2 5+ -5  2  1 17+  4
Curve Equation t Generators 34850b1 [1,1,0,1524050,3107761500] 1 [569965440149763:-64048703461829865:985966166177]
34850c (1 curve)	1	2+ 5+ 17+ 41+	2+ -3 5+ -2  0 -7 17+ -5
Curve Equation t Generators 34850c1 [1,-1,0,-33292,-4814384] 1 [779:20623:1]
34850d (2 curves)	0	2+ 5+ 17+ 41-	2+  1 5+  2  2  1 17+ -5
Curve Equation t 34850d1 [1,0,1,-58626,93068148] 1 34850d2 [1,0,1,-11299876,-17213951852] 1
34850e (1 curve)	0	2+ 5+ 17+ 41-	2+  2 5+  2  2 -6 17+  4
Curve Equation t 34850e1 [1,1,0,112965,2862545] 1
34850f (2 curves)	0	2+ 5+ 17+ 41-	2+  2 5+  2 -6  6 17+ -6
Curve Equation t 34850f1 [1,1,0,-152150,22764500] 2 34850f2 [1,1,0,-120150,32652500] 2
34850g (1 curve)	0	2+ 5+ 17+ 41-	2+ -2 5+  2  2 -2 17+  4
Curve Equation t 34850g1 [1,0,1,4674,32048] 1
34850h (2 curves)	0	2+ 5+ 17- 41+	2+  2 5+  1 -6  7 17- -4
Curve Equation t 34850h1 [1,1,0,-15915,766205] 1 34850h2 [1,1,0,-5515,1759965] 1
34850i (2 curves)	0	2+ 5+ 17- 41+	2+ -2 5+  0  2  2 17- -8
Curve Equation t 34850i1 [1,0,1,-15151,-718302] 2 34850i2 [1,0,1,-19151,-310302] 2
34850j (1 curve)	0	2+ 5+ 17- 41+	2+ -2 5+  3  2  5 17-  8
Curve Equation t 34850j1 [1,0,1,-2201,45798] 1
34850k (1 curve)	1	2+ 5+ 17- 41-	2+ -1 5+  2  2 -3 17- -5
Curve Equation t Generators 34850k1 [1,1,0,-920775,406763125] 1 [625:8400:1]
34850l (2 curves)	1	2+ 5+ 17- 41-	2+ -1 5+ -2 -3  7 17- -4
Curve Equation t Generators 34850l1 [1,1,0,-1550,-30500] 1 [111:1031:1] 34850l2 [1,1,0,-134800,-19105750] 1 [1261:42008:1]
34850m (1 curve)	2	2+ 5- 17+ 41+	2+ -1 5-  1 -2 -2 17+ -5
Curve Equation t Generators 34850m1 [1,1,0,15,25] 1 [-10:25:8]&[0:5:1]
34850n (1 curve)	0	2+ 5- 17- 41-	2+ -1 5-  3  4  3 17-  4
Curve Equation t 34850n1 [1,1,0,-450,-11000] 1
34850o (2 curves)	0	2- 5+ 17+ 41+	2-  0 5+  2 -4  4 17+  0
Curve Equation t 34850o1 [1,-1,1,-5755,166247] 2 34850o2 [1,-1,1,495,503747] 2
34850p (2 curves)	0	2- 5+ 17+ 41+	2-  2 5+  4  2  4 17+ -2
Curve Equation t 34850p1 [1,1,1,-7838,229531] 2 34850p2 [1,1,1,-32838,-2070469] 2
34850q (1 curve)	0	2- 5+ 17+ 41+	2- -3 5+  2  2 -5 17+  3
Curve Equation t 34850q1 [1,-1,1,-1182255,-494487753] 1
34850r (2 curves)	1	2- 5+ 17+ 41-	2-  0 5+  0  4  2 17+  6
Curve Equation t Generators 34850r1 [1,-1,1,-330,2297] 2 [22:285:8] 34850r2 [1,-1,1,170,8297] 2 [-7:85:1]
34850s (1 curve)	1	2- 5+ 17+ 41-	2-  1 5+ -3  4 -3 17+  4
Curve Equation t Generators 34850s1 [1,0,0,-18,-88] 1 [156:4:27]
34850t (2 curves)	1	2- 5+ 17- 41+	2-  0 5+  0  0 -4 17- -6
Curve Equation t Generators 34850t1 [1,-1,1,-17430,828197] 2 [49:275:1] 34850t2 [1,-1,1,-273430,55100197] 2 [313:-485:1]
34850u (2 curves)	1	2- 5+ 17- 41+	2-  0 5+  2  0  0 17-  4
Curve Equation t Generators 34850u1 [1,-1,1,-5905,-171903] 2 [-45:56:1] 34850u2 [1,-1,1,-1905,-403903] 2 [155:1656:1]
34850v (1 curve)	1	2- 5+ 17- 41+	2-  1 5+ -1  0  2 17-  5
Curve Equation t Generators 34850v1 [1,0,0,-1713,29417] 1 [22:-61:1]
34850w (2 curves)	1	2- 5+ 17- 41+	2- -2 5+  0  2  4 17- -6
Curve Equation t Generators 34850w1 [1,0,0,-2875788,1181122192] 2 [-1768:28084:1] 34850w2 [1,0,0,-19259788,-31668797808] 2 [-2792:19892:1]
34850x (1 curve)	1	2- 5+ 17- 41+	2-  3 5+  0 -3 -1 17- -6
Curve Equation t Generators 34850x1 [1,-1,1,45,-203] 1 [55038810:742081:14886936]
34850y (1 curve)	1	2- 5- 17+ 41+	2-  2 5- -3  2 -5 17+  8
Curve Equation t Generators 34850y1 [1,1,1,-88,331] 1 [-58:229:8]
34850z (2 curves)	1	2- 5- 17+ 41+	2- -2 5- -1 -6 -7 17+ -4
Curve Equation t Generators 34850z1 [1,0,0,-397888,96571392] 3 [-448:13824:1] 34850z2 [1,0,0,-137888,220271392] 1 [-382:14930:1]
34850ba (1 curve)	0	2- 5- 17- 41+	2-  1 5- -1 -2  2 17- -5
Curve Equation t 34850ba1 [1,0,0,362,2392] 1
34850bb (1 curve)	0	2- 5- 17- 41+	2- -2 5-  5  2 -1 17-  4
Curve Equation t 34850bb1 [1,0,0,60962,24862092] 1
34850bc (1 curve)	1	2- 5- 17- 41-	2-  2 5- -2  2  2 17-  4
Curve Equation t Generators 34850bc1 [1,1,1,187,331] 1 [-1:12:1]
34850bd (1 curve)	1	2- 5- 17- 41-	2- -2 5- -2  2  6 17-  4
Curve Equation t Generators 34850bd1 [1,0,0,2824112,352169892] 1 [26352:4273374:1]

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