Cremona's table of elliptic curves

10850 = 2 · 5² · 7 · 31

Class	r	Atkin-Lehner	Eigenvalues
10850a (1 curve)	1	2+ 5+ 7+ 31+	2+ -1 5+ 7+ -5  5  0  1
Curve Equation t Generators 10850a1 [1,1,0,-150,-500] 1 [-5:15:1]
10850b (2 curves)	1	2+ 5+ 7+ 31+	2+  2 5+ 7+ -2  4  2 -8
Curve Equation t Generators 10850b1 [1,1,0,525,6125] 2 [35:245:1] 10850b2 [1,1,0,-3475,58125] 2 [-51:351:1]
10850c (2 curves)	1	2+ 5+ 7+ 31+	2+  2 5+ 7+ -2 -4  6  4
Curve Equation t Generators 10850c1 [1,1,0,-67900,22050000] 2 [9765:959805:1] 10850c2 [1,1,0,-1667900,826850000] 2 [242137:344443:343]
10850d (2 curves)	1	2+ 5+ 7+ 31+	2+ -2 5+ 7+  6  0  6  0
Curve Equation t Generators 10850d1 [1,0,1,374,-11352] 2 [22:76:1] 10850d2 [1,0,1,-5876,-161352] 2 [-42:129:1]
10850e (2 curves)	0	2+ 5+ 7+ 31-	2+  0 5+ 7+  2  2  0  8
Curve Equation t 10850e1 [1,-1,0,-4067,-100159] 2 10850e2 [1,-1,0,-65317,-6408909] 2
10850f (1 curve)	0	2+ 5+ 7+ 31-	2+  1 5+ 7+  3  4  5  1
Curve Equation t 10850f1 [1,0,1,-13451,880798] 1
10850g (2 curves)	0	2+ 5+ 7+ 31-	2+  1 5+ 7+ -3  1  2 -5
Curve Equation t 10850g1 [1,0,1,-249876,-19557102] 1 10850g2 [1,0,1,-128734876,-562212797102] 1
10850h (3 curves)	0	2+ 5+ 7+ 31-	2+ -1 5+ 7+  0  4  6  2
Curve Equation t 10850h1 [1,1,0,-100,2000] 1 10850h2 [1,1,0,900,-53000] 1 10850h3 [1,1,0,-84350,-9469250] 1
10850i (4 curves)	0	2+ 5+ 7+ 31-	2+  2 5+ 7+  6 -2  6 -4
Curve Equation t 10850i1 [1,1,0,-3150,-2327500] 2 10850i2 [1,1,0,-283150,-57487500] 2 10850i3 [1,1,0,-1429150,-658225500] 2 10850i4 [1,1,0,-22866650,-42096913000] 2
10850j (2 curves)	0	2+ 5+ 7- 31+	2+  0 5+ 7-  4 -4 -2  0
Curve Equation t 10850j1 [1,-1,0,11177683,961922341] 2 10850j2 [1,-1,0,-44822317,7737922341] 2
10850k (2 curves)	2	2+ 5+ 7- 31+	2+ -2 5+ 7- -6 -4 -2 -4
Curve Equation t Generators 10850k1 [1,0,1,-801,9248] 2 [127:-1464:1]&[-19:142:1] 10850k2 [1,0,1,-13051,572748] 2 [-4:792:1]&[58:79:1]
10850l (1 curve)	0	2+ 5+ 7- 31+	2+  3 5+ 7-  1  5  4  3
Curve Equation t 10850l1 [1,-1,0,-7042,228116] 1
10850m (1 curve)	0	2+ 5+ 7- 31+	2+  3 5+ 7-  4 -4 -2  6
Curve Equation t 10850m1 [1,-1,0,-59092,-5514184] 1
10850n (2 curves)	1	2+ 5+ 7- 31-	2+  0 5+ 7- -2 -6  4  0
Curve Equation t Generators 10850n1 [1,-1,0,-49817,9207341] 2 [-62:3503:1] 10850n2 [1,-1,0,-1029817,402187341] 2 [379:7948:1]
10850o (1 curve)	0	2+ 5- 7+ 31+	2+ -3 5- 7+  3 -1  2  7
Curve Equation t 10850o1 [1,-1,0,-27742,-1763084] 1
10850p (1 curve)	1	2+ 5- 7+ 31-	2+ -1 5- 7+ -3 -3 -2 -1
Curve Equation t Generators 10850p1 [1,1,0,-4200,-56000] 1 [-15:70:1]
10850q (1 curve)	1	2+ 5- 7- 31+	2+ -2 5- 7-  4  1  3  1
Curve Equation t Generators 10850q1 [1,0,1,199,348] 1 [27:146:1]
10850r (1 curve)	0	2- 5+ 7+ 31+	2-  1 5+ 7+  1 -1  8  7
Curve Equation t 10850r1 [1,0,0,-2188,36742] 1
10850s (1 curve)	0	2- 5+ 7+ 31+	2-  2 5+ 7+  4 -1 -3  1
Curve Equation t 10850s1 [1,1,1,4987,43531] 1
10850t (2 curves)	1	2- 5+ 7+ 31-	2- -1 5+ 7+  3  1  0 -1
Curve Equation t Generators 10850t1 [1,1,1,-36063,2619781] 1 [95:202:1] 10850t2 [1,1,1,-110438,-11021469] 1 [-155:1627:1]
10850u (3 curves)	1	2- 5+ 7+ 31-	2- -1 5+ 7+  3 -5  6 -7
Curve Equation t Generators 10850u1 [1,1,1,-14713,680781] 1 [550:-179:8] 10850u2 [1,1,1,-16338,519031] 1 [-5:777:1] 10850u3 [1,1,1,-531713,-149427969] 1 [-425:312:1]
10850v (4 curves)	1	2- 5+ 7+ 31-	2-  2 5+ 7+  0 -2  0 -4
Curve Equation t Generators 10850v1 [1,1,1,160812,38725781] 2 [1425:55537:1] 10850v2 [1,1,1,-1211188,411909781] 2 [-239:26345:1] 10850v3 [1,1,1,-1523563,-1393911719] 2 [13075:1481462:1] 10850v4 [1,1,1,-30195563,-63841527719] 2 [-3181:7542:1]
10850w (2 curves)	1	2- 5+ 7+ 31-	2- -2 5+ 7+  0 -2 -4  4
Curve Equation t Generators 10850w1 [1,0,0,-63,-9383] 2 [42:229:1] 10850w2 [1,0,0,-7063,-226383] 2 [-52:57:1]
10850x (2 curves)	1	2- 5+ 7- 31+	2-  0 5+ 7- -2  2 -2 -6
Curve Equation t Generators 10850x1 [1,-1,1,-180,-553] 2 [-7:21:1] 10850x2 [1,-1,1,-1180,15447] 2 [-21:185:1]
10850y (2 curves)	1	2- 5+ 7- 31+	2-  2 5+ 7-  0 -6  4 -8
Curve Equation t Generators 10850y1 [1,1,1,287,1531] 2 [590:4951:8] 10850y2 [1,1,1,-1463,12031] 2 [-556:10197:64]
10850z (1 curve)	1	2- 5+ 7- 31+	2- -3 5+ 7- -1  1 -6  3
Curve Equation t Generators 10850z1 [1,-1,1,-3105,66897] 1 [-21:360:1]
10850ba (1 curve)	1	2- 5+ 7- 31+	2- -3 5+ 7- -5 -1  4 -3
Curve Equation t Generators 10850ba1 [1,-1,1,-444884505,-3349846234503] 1 [-11241:485820:1]
10850bb (1 curve)	0	2- 5- 7- 31+	2-  3 5- 7-  3  1 -2  7
Curve Equation t 10850bb1 [1,-1,1,-1110,-13883] 1
10850bc (1 curve)	1	2- 5- 7- 31-	2-  1 5- 7- -3  3  2 -1
Curve Equation t Generators 10850bc1 [1,0,0,-168,-448] 1 [-8:24:1]
10850bd (1 curve)	1	2- 5- 7- 31-	2- -1 5- 7-  3 -4 -5  1
Curve Equation t Generators 10850bd1 [1,1,1,-538,6831] 1 [39:197:1]

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