Cremona's table of elliptic curves

112850 = 2 · 5² · 37 · 61

Class	r	Atkin-Lehner	Eigenvalues
112850a (2 curves)	0	2+ 5+ 37+ 61-	2+  2 5+  0 -2 -6  6  4
Curve Equation t 112850a1 [1,1,0,-775,2625] 2 112850a2 [1,1,0,-10025,381875] 2
112850b (2 curves)	0	2+ 5+ 37+ 61-	2+  2 5+ -2  0  4  6  2
Curve Equation t 112850b1 [1,1,0,-24400,1557000] 1 112850b2 [1,1,0,143350,443750] 1
112850c (2 curves)	0	2+ 5+ 37+ 61-	2+  2 5+ -5 -3 -5  0  2
Curve Equation t 112850c1 [1,1,0,-11529550,-15468439500] 1 112850c2 [1,1,0,-940681550,-11105225495500] 1
112850d (1 curve)	2	2+ 5+ 37+ 61-	2+ -2 5+ -2  0 -1 -1  3
Curve Equation t Generators 112850d1 [1,0,1,-24401,2007948] 1 [-158:1466:1]&[-18:1571:1]
112850e (1 curve)	2	2+ 5+ 37- 61+	2+ -1 5+ -2 -3 -2 -2 -5
Curve Equation t Generators 112850e1 [1,1,0,2350,-45500] 1 [20:90:1]&[190:1155:8]
112850f (1 curve)	1	2+ 5+ 37- 61-	2+  2 5+ -1 -3 -1  0 -2
Curve Equation t Generators 112850f1 [1,1,0,-7375,241125] 1 [6:441:1]
112850g (2 curves)	1	2+ 5- 37+ 61-	2+  1 5-  2 -3  6  2 -5
Curve Equation t Generators 112850g1 [1,0,1,-20701,-47560952] 1 [383:662:1] 112850g2 [1,0,1,-7683826,9340796548] 1 [-217112507:3405088577:68921]
112850h (1 curve)	1	2+ 5- 37- 61+	2+ -2 5-  0 -2 -2 -8  0
Curve Equation t Generators 112850h1 [1,0,1,424,3048] 1 [2:61:1]
112850i (1 curve)	0	2+ 5- 37- 61-	2+  2 5- -4  6 -6  4 -8
Curve Equation t 112850i1 [1,1,0,-23955,-1467475] 1
112850j (1 curve)	2	2+ 5- 37- 61-	2+ -3 5- -2 -1  2 -6  5
Curve Equation t Generators 112850j1 [1,-1,0,-157,901] 1 [-6:43:1]&[10:11:1]
112850k (1 curve)	0	2- 5+ 37+ 61+	2-  2 5+  0 -3 -2  5  5
Curve Equation t 112850k1 [1,1,1,-259313,50814031] 1
112850l (1 curve)	2	2- 5+ 37+ 61+	2- -2 5+ -2  0 -1 -3 -1
Curve Equation t Generators 112850l1 [1,0,0,-81463,8949417] 1 [182:-491:1]&[-202:4245:1]
112850m (2 curves)	1	2- 5+ 37+ 61-	2-  0 5+  2 -2  2  2 -2
Curve Equation t Generators 112850m1 [1,-1,1,-29355,1943147] 2 [-157:1710:1] 112850m2 [1,-1,1,-28855,2012147] 2 [862:2615:8]
112850n (2 curves)	1	2- 5+ 37+ 61-	2- -2 5+  4  6  2 -2  0
Curve Equation t Generators 112850n1 [1,0,0,-216938,-38908508] 2 [712:12594:1] 112850n2 [1,0,0,-208938,-41908508] 2 [4272:275414:1]
112850o (2 curves)	1	2- 5+ 37- 61+	2- -2 5+  0  6 -2  2  4
Curve Equation t Generators 112850o1 [1,0,0,-6438,-124508] 2 [112:694:1] 112850o2 [1,0,0,-43438,3390492] 2 [822:22464:1]
112850p (1 curve)	0	2- 5+ 37- 61-	2-  0 5+  4  3  4  5 -1
Curve Equation t 112850p1 [1,-1,1,-580,5547] 1
112850q (1 curve)	1	2- 5- 37+ 61+	2-  2 5-  0 -2  2  8  0
Curve Equation t Generators 112850q1 [1,1,1,17,31] 1 [-30:1067:216]
112850r (1 curve)	0	2- 5- 37+ 61-	2- -2 5-  4  6  6 -4 -8
Curve Equation t 112850r1 [1,0,0,-598888,-182236608] 1
112850s (1 curve)	0	2- 5- 37+ 61-	2-  3 5-  2 -1 -2  6  5
Curve Equation t 112850s1 [1,-1,1,-3930,108697] 1
112850t (2 curves)	1	2- 5- 37- 61-	2- -1 5- -2 -3 -6 -2 -5
Curve Equation t Generators 112850t1 [1,1,1,-828,-380819] 1 [125:-1283:1] 112850t2 [1,1,1,-307353,74603431] 5 [-605:6592:1]

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

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