Cremona's table of elliptic curves

5202 = 2 · 3² · 17²

Class	r	Atkin-Lehner	Eigenvalues
5202a (4 curves)	0	2+ 3- 17+	2+ 3-  0  4  6  2 17+ -4
Curve Equation t 5202a1 [1,-1,0,-7857,-164003] 2 5202a2 [1,-1,0,-111897,-14375867] 2 5202a3 [1,-1,0,-267957,53447809] 2 5202a4 [1,-1,0,-293967,42466387] 2
5202b (6 curves)	0	2+ 3- 17+	2+ 3- -2  0 -4 -2 17+  4
Curve Equation t 5202b1 [1,-1,0,-88488,-9374144] 2 5202b2 [1,-1,0,-296568,51343600] 4 5202b3 [1,-1,0,-4510188,3687697660] 4 5202b4 [1,-1,0,587772,298428196] 2 5202b5 [1,-1,0,-72162198,235964108794] 2 5202b6 [1,-1,0,-4276098,4087382926] 2
5202c (2 curves)	0	2+ 3- 17+	2+ 3- -3  4  3  2 17+  8
Curve Equation t 5202c1 [1,-1,0,-14436,674896] 1 5202c2 [1,-1,0,-1171116,488099848] 1
5202d (1 curve)	0	2+ 3- 17+	2+ 3-  4 -3 -4 -5 17+  1
Curve Equation t 5202d1 [1,-1,0,-15660,-6429812] 1
5202e (2 curves)	1	2+ 3- 17-	2+ 3-  3 -4 -3  2 17-  8
Curve Equation t Generators 5202e1 [1,-1,0,-4172058,3299075892] 1 [1887:45348:1] 5202e2 [1,-1,0,-338452578,2396680742988] 3 [462622107:174340366185:148877]
5202f (1 curve)	1	2+ 3- 17-	2+ 3- -4  3  4 -5 17-  1
Curve Equation t Generators 5202f1 [1,-1,0,-54,-1296] 1 [30:138:1]
5202g (2 curves)	1	2- 3- 17+	2- 3-  0  1  0 -1 17+ -7
Curve Equation t Generators 5202g1 [1,-1,1,175,-255] 1 [5:24:1] 5202g2 [1,-1,1,-2120,42891] 1 [77:-615:1]
5202h (4 curves)	1	2- 3- 17+	2- 3-  0 -2  0  2 17+ -4
Curve Equation t Generators 5202h1 [1,-1,1,-664610,-208300575] 2 [2291:100293:1] 5202h2 [1,-1,1,-560570,-275801727] 2 [61653:2715527:27] 5202h3 [1,-1,1,-1952105,794166441] 2 [387:9632:1] 5202h4 [1,-1,1,4706455,5031674025] 2 [-565:47100:1]
5202i (1 curve)	1	2- 3- 17+	2- 3- -1 -4 -3  6 17+  4
Curve Equation t Generators 5202i1 [1,-1,1,22,425] 1 [-3:19:1]
5202j (4 curves)	1	2- 3- 17+	2- 3-  2 -2  0 -6 17+  0
Curve Equation t Generators 5202j1 [1,-1,1,-479939,-120434749] 2 [-357:2482:1] 5202j2 [1,-1,1,-7554659,-7990353277] 2 [-12682:7557:8] 5202j3 [1,-1,1,-54424679,154553814875] 2 [93251315415:-188433976960:22188041] 5202j4 [1,-1,1,-54866849,151915121183] 2 [8238956434783160678:446089421441758537869:3013063723538504]
5202k (4 curves)	1	2- 3- 17+	2- 3- -2  2  0 -6 17+  0
Curve Equation t Generators 5202k1 [1,-1,1,-1661,-24123] 2 [-25:48:1] 5202k2 [1,-1,1,-26141,-1620219] 2 [-93:48:1] 5202k3 [1,-1,1,-188321,31502445] 2 [179:1782:1] 5202k4 [1,-1,1,-189851,30965721] 2 [1398:13389:8]
5202l (2 curves)	1	2- 3- 17+	2- 3- -4  2  0 -6 17+  4
Curve Equation t Generators 5202l1 [1,-1,1,-6557,-128095] 2 [1203:41014:1] 5202l2 [1,-1,1,19453,-908395] 2 [9590:329285:8]
5202m (2 curves)	0	2- 3- 17-	2- 3-  0 -1  0 -1 17- -7
Curve Equation t 5202m1 [1,-1,1,50665,-1048849] 1 5202m2 [1,-1,1,-612590,208274429] 3
5202n (1 curve)	0	2- 3- 17-	2- 3-  1  4  3  6 17-  4
Curve Equation t 5202n1 [1,-1,1,6448,2115123] 1

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