Cremona's table of elliptic curves

31808 = 2⁶ · 7 · 71

Class	r	Atkin-Lehner	Eigenvalues
31808a (1 curve)	1	2+ 7+ 71+	2+ -1  0 7+  5 -5 -2 -4
Curve Equation t Generators 31808a1 [0,-1,0,-33,2209] 1 [25:128:1]
31808b (2 curves)	1	2+ 7+ 71+	2+  2 -4 7+ -2 -6 -2  6
Curve Equation t Generators 31808b1 [0,-1,0,-705,7361] 2 [35:156:1] 31808b2 [0,-1,0,-1345,-7359] 2 [-15:96:1]
31808c (2 curves)	0	2+ 7+ 71-	2+  0 -4 7+  4 -2  4  4
Curve Equation t 31808c1 [0,0,0,268,-3680] 2 31808c2 [0,0,0,-2572,-43440] 2
31808d (1 curve)	0	2+ 7+ 71-	2+ -1 -2 7+  5  3  2  0
Curve Equation t 31808d1 [0,-1,0,-49,-175] 1
31808e (2 curves)	0	2+ 7+ 71-	2+  2 -2 7+ -4  0 -4 -6
Curve Equation t 31808e1 [0,-1,0,16351,-423775] 2 31808e2 [0,-1,0,-74529,-3531871] 2
31808f (1 curve)	0	2+ 7+ 71-	2+ -3  2 7+  1  1 -2 -8
Curve Equation t 31808f1 [0,0,0,-19,-68] 1
31808g (4 curves)	0	2+ 7- 71+	2+  0  2 7-  4  6  6  0
Curve Equation t 31808g1 [0,0,0,-1004,-8528] 2 31808g2 [0,0,0,-6124,177840] 4 31808g3 [0,0,0,2836,654512] 2 31808g4 [0,0,0,-97004,11628720] 2
31808h (2 curves)	2	2+ 7- 71+	2+  0 -4 7- -4 -2  4 -4
Curve Equation t Generators 31808h1 [0,0,0,268,3680] 2 [-8:32:1]&[-2:56:1] 31808h2 [0,0,0,-2572,43440] 2 [6:168:1]&[-8:252:1]
31808i (2 curves)	0	2+ 7- 71+	2+  2  0 7-  2  2  2 -2
Curve Equation t 31808i1 [0,-1,0,-673,-6495] 2 31808i2 [0,-1,0,-833,-3007] 2
31808j (4 curves)	0	2+ 7- 71+	2+  2  0 7-  6 -2 -6 -2
Curve Equation t 31808j1 [0,-1,0,-43393,-2854527] 2 31808j2 [0,-1,0,-207233,33747329] 2 31808j3 [0,-1,0,-3340673,-2349055615] 2 31808j4 [0,-1,0,-3343233,-2345272447] 2
31808k (2 curves)	0	2+ 7- 71+	2+ -2  2 7- -4  0  0 -2
Curve Equation t 31808k1 [0,1,0,-23777,-1511297] 2 31808k2 [0,1,0,-387297,-92900225] 2
31808l (1 curve)	0	2+ 7- 71+	2+  3  2 7- -1  1 -2  8
Curve Equation t 31808l1 [0,0,0,-19,68] 1
31808m (1 curve)	1	2+ 7- 71-	2+  1  0 7- -1  3 -2  4
Curve Equation t Generators 31808m1 [0,1,0,1567,-11905] 1 [131:1568:1]
31808n (2 curves)	1	2+ 7- 71-	2+ -1  0 7-  3  1 -6  4
Curve Equation t Generators 31808n1 [0,-1,0,10527,461665] 1 [2163:-36352:27] 31808n2 [0,-1,0,-103073,-20218079] 1 [29379:917504:27]
31808o (2 curves)	0	2- 7+ 71+	2-  1  0 7+ -3  1 -6 -4
Curve Equation t 31808o1 [0,1,0,10527,-461665] 1 31808o2 [0,1,0,-103073,20218079] 1
31808p (1 curve)	0	2- 7+ 71+	2- -1  0 7+  1  3 -2 -4
Curve Equation t 31808p1 [0,-1,0,1567,11905] 1
31808q (1 curve)	0	2- 7+ 71+	2- -1  0 7+ -3 -1  6 -4
Curve Equation t 31808q1 [0,-1,0,-148,-646] 1
31808r (4 curves)	1	2- 7+ 71-	2-  0  2 7+ -4  6  6  0
Curve Equation t Generators 31808r1 [0,0,0,-1004,8528] 2 [604:14824:1] 31808r2 [0,0,0,-6124,-177840] 4 [2976156:72607080:4913] 31808r3 [0,0,0,2836,-654512] 2 [981058:20802432:2197] 31808r4 [0,0,0,-97004,-11628720] 2 [64076810326620:-1376356940825320:99961946721]
31808s (2 curves)	1	2- 7+ 71-	2-  2  2 7+  4  0  0  2
Curve Equation t Generators 31808s1 [0,-1,0,-23777,1511297] 2 [1207983:7245692:9261] 31808s2 [0,-1,0,-387297,92900225] 2 [100809872625:-51957158660:275894451]
31808t (2 curves)	1	2- 7+ 71-	2-  2  2 7+ -4  0  4  2
Curve Equation t Generators 31808t1 [0,-1,0,-92,-310] 2 [1818579:25388110:9261] 31808t2 [0,-1,0,-57,-583] 2 [21171:592424:27]
31808u (2 curves)	1	2- 7+ 71-	2- -2  0 7+ -2  2  2  2
Curve Equation t Generators 31808u1 [0,1,0,-673,6495] 2 [17:16:1] 31808u2 [0,1,0,-833,3007] 2 [-17:112:1]
31808v (4 curves)	1	2- 7+ 71-	2- -2  0 7+ -6 -2 -6  2
Curve Equation t Generators 31808v1 [0,1,0,-43393,2854527] 2 [209:1720:1] 31808v2 [0,1,0,-207233,-33747329] 2 [3231:181760:1] 31808v3 [0,1,0,-3340673,2349055615] 2 [1105:2840:1] 31808v4 [0,1,0,-3343233,2345272447] 2 [1439:22720:1]
31808w (1 curve)	1	2- 7- 71+	2-  1 -2 7- -5  3  2  0
Curve Equation t Generators 31808w1 [0,1,0,-49,175] 1 [3:-8:1]
31808x (2 curves)	1	2- 7- 71+	2- -2  2 7-  4  0  4 -2
Curve Equation t Generators 31808x1 [0,1,0,-92,310] 2 [-86:105:8] 31808x2 [0,1,0,-57,583] 2 [7:24:1]
31808y (2 curves)	1	2- 7- 71+	2- -2 -2 7-  4  0 -4  6
Curve Equation t Generators 31808y1 [0,1,0,16351,423775] 2 [103:1792:1] 31808y2 [0,1,0,-74529,3531871] 2 [-294:343:1]
31808z (1 curve)	0	2- 7- 71-	2-  1  0 7-  3 -1  6  4
Curve Equation t 31808z1 [0,1,0,-148,646] 1
31808ba (1 curve)	0	2- 7- 71-	2-  1  0 7- -5 -5 -2  4
Curve Equation t 31808ba1 [0,1,0,-33,-2209] 1
31808bb (2 curves)	2	2- 7- 71-	2- -2 -4 7-  2 -6 -2 -6
Curve Equation t Generators 31808bb1 [0,1,0,-705,-7361] 2 [-15:8:1]&[33:80:1] 31808bb2 [0,1,0,-1345,7359] 2 [47:-224:1]&[-30:147:1]

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