Cremona's table of elliptic curves

31600 = 2⁴ · 5² · 79

Class	r	Atkin-Lehner	Eigenvalues
31600a (1 curve)	1	2+ 5+ 79+	2+  1 5+  1  1  4  2  8
Curve Equation t Generators 31600a1 [0,1,0,-633,-6637] 1 [786:575:27]
31600b (1 curve)	1	2+ 5+ 79+	2+  1 5+ -5 -4 -1  8 -2
Curve Equation t Generators 31600b1 [0,1,0,-408,-2812] 1 [-8:2:1]
31600c (2 curves)	1	2+ 5+ 79+	2+ -2 5+ -2  4 -2 -4 -4
Curve Equation t Generators 31600c1 [0,1,0,-25383,1544488] 2 [268:3750:1] 31600c2 [0,1,0,-15508,2768988] 2 [3:1650:1]
31600d (2 curves)	2	2+ 5+ 79-	2+  0 5+ -2  0 -2  0 -4
Curve Equation t Generators 31600d1 [0,0,0,325,8250] 2 [5:-100:1]&[21:156:1] 31600d2 [0,0,0,-4675,113250] 2 [-51:468:1]&[-49:474:1]
31600e (2 curves)	2	2+ 5+ 79-	2+ -2 5+  2 -4 -2 -4 -4
Curve Equation t Generators 31600e1 [0,1,0,492,988] 2 [3:50:1]&[14:104:1] 31600e2 [0,1,0,-2008,5988] 2 [398:-7900:1]&[-22:200:1]
31600f (2 curves)	0	2- 5+ 79+	2-  0 5+  0 -4  2  0  0
Curve Equation t 31600f1 [0,0,0,-1700,-16625] 2 31600f2 [0,0,0,-11575,467250] 2
31600g (3 curves)	0	2- 5+ 79+	2-  1 5+ -1  0 -5  0 -2
Curve Equation t 31600g1 [0,1,0,-18608,-983212] 1 31600g2 [0,1,0,-32608,668788] 1 31600g3 [0,1,0,-2086608,1159440788] 1
31600h (2 curves)	0	2- 5+ 79+	2-  1 5+ -4  0  4 -6 -8
Curve Equation t 31600h1 [0,1,0,-15208,-766412] 1 31600h2 [0,1,0,84792,-966412] 1
31600i (1 curve)	0	2- 5+ 79+	2-  3 5+  3  5 -4  6  0
Curve Equation t 31600i1 [0,0,0,200,9500] 1
31600j (1 curve)	0	2- 5+ 79+	2- -3 5+  1  6  1  4  6
Curve Equation t 31600j1 [0,0,0,-175,250] 1
31600k (1 curve)	0	2- 5+ 79+	2- -3 5+ -3  2  5 -6  0
Curve Equation t 31600k1 [0,0,0,-3475,-56750] 1
31600l (4 curves)	1	2- 5+ 79-	2-  0 5+ -4 -4 -6 -6  4
Curve Equation t Generators 31600l1 [0,0,0,-2675,-100750] 2 [145:1600:1] 31600l2 [0,0,0,-52675,-4650750] 4 [270:900:1] 31600l3 [0,0,0,-62675,-2760750] 4 [-135:1800:1] 31600l4 [0,0,0,-842675,-297740750] 2 [31870:5687100:1]
31600m (1 curve)	1	2- 5+ 79-	2-  1 5+ -2  1 -2  1  1
Curve Equation t Generators 31600m1 [0,1,0,-10985208,14021093588] 1 [-72222:4206592:27]
31600n (1 curve)	1	2- 5+ 79-	2- -1 5+ -1  2 -3  6 -4
Curve Equation t Generators 31600n1 [0,-1,0,-808,-7888] 1 [-14:22:1]
31600o (2 curves)	1	2- 5+ 79-	2- -1 5+  3 -2  1  2  0
Curve Equation t Generators 31600o1 [0,-1,0,-168008,-26217488] 1 [-782490:1577402:3375] 31600o2 [0,-1,0,-9352008,11010710512] 1 [47406:12482:27]
31600p (1 curve)	1	2- 5+ 79-	2- -1 5+  3 -2  1 -4 -6
Curve Equation t Generators 31600p1 [0,-1,0,-4508,118012] 1 [33:64:1]
31600q (2 curves)	1	2- 5+ 79-	2- -1 5+  3  3 -4  2  0
Curve Equation t Generators 31600q1 [0,-1,0,-20133,-1109363] 1 [60564:2861875:27] 31600q2 [0,-1,0,119867,44950637] 1 [-2436:156025:27]
31600r (1 curve)	1	2- 5+ 79-	2- -1 5+ -3 -4  7  4  6
Curve Equation t Generators 31600r1 [0,-1,0,-1408,-18688] 1 [-22:34:1]
31600s (2 curves)	1	2- 5+ 79-	2-  2 5+  0  4 -2  2  0
Curve Equation t Generators 31600s1 [0,-1,0,392,-6288] 2 [186:975:8] 31600s2 [0,-1,0,-3608,-70288] 2 [20382:140075:216]
31600t (2 curves)	1	2- 5+ 79-	2-  2 5+  2 -4  6  0 -4
Curve Equation t Generators 31600t1 [0,-1,0,-16008,894512] 2 [-103:1200:1] 31600t2 [0,-1,0,-266008,52894512] 2 [3852:237000:1]
31600u (2 curves)	1	2- 5+ 79-	2- -2 5+ -2  4 -2  4  4
Curve Equation t Generators 31600u1 [0,1,0,-10008,-476012] 2 [163:1500:1] 31600u2 [0,1,0,-170008,-27036012] 2 [3318:189600:1]
31600v (1 curve)	1	2- 5- 79+	2-  1 5-  1 -1  0  6 -4
Curve Equation t Generators 31600v1 [0,1,0,-1333,-43037] 1 [2022378:12776375:29791]
31600w (1 curve)	1	2- 5- 79+	2- -1 5- -1 -1  0 -6 -4
Curve Equation t Generators 31600w1 [0,-1,0,-53,-323] 1 [12:25:1]
31600x (2 curves)	1	2- 5- 79+	2- -1 5-  4  0 -4  6 -8
Curve Equation t Generators 31600x1 [0,-1,0,-608,-5888] 1 [32:80:1] 31600x2 [0,-1,0,3392,-9088] 1 [8:136:1]
31600y (1 curve)	0	2- 5- 79-	2- -1 5-  2  1  2 -1  1
Curve Equation t 31600y1 [0,-1,0,-439408,112344512] 1

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