Cremona's table of elliptic curves

67626 = 2 · 3² · 13 · 17²

Class	r	Atkin-Lehner	Eigenvalues
67626a (2 curves)	1	2+ 3+ 13+ 17+	2+ 3+  2  2  4 13+ 17+ -6
Curve Equation t Generators 67626a1 [1,-1,0,-921,20957] 2 [-34:127:1] 67626a2 [1,-1,0,-18261,953849] 2 [-140:937:1]
67626b (2 curves)	2	2+ 3+ 13- 17+	2+ 3+ -3  1  0 13- 17+ -1
Curve Equation t Generators 67626b1 [1,-1,0,-156,676] 1 [-13:26:1]&[-6:40:1] 67626b2 [1,-1,0,-3471,-77779] 1 [-274:191:8]&[-34:25:1]
67626c (2 curves)	1	2+ 3+ 13- 17-	2+ 3+  3 -1  0 13- 17- -1
Curve Equation t Generators 67626c1 [1,-1,0,-45138,3140712] 3 [22:1458:1] 67626c2 [1,-1,0,-1003173,-386140843] 1 [-1989210:2143589:3375]
67626d (2 curves)	0	2+ 3- 13+ 17+	2+ 3-  0  2 -2 13+ 17+ -8
Curve Equation t 67626d1 [1,-1,0,-2959992,-1793942208] 2 67626d2 [1,-1,0,-46240632,-121014793152] 2
67626e (1 curve)	0	2+ 3- 13+ 17+	2+ 3-  1 -3  2 13+ 17+  7
Curve Equation t 67626e1 [1,-1,0,-828738324,9052629256912] 1
67626f (1 curve)	0	2+ 3- 13+ 17+	2+ 3-  1  4 -5 13+ 17+  0
Curve Equation t 67626f1 [1,-1,0,-1584,-25538] 1
67626g (1 curve)	2	2+ 3- 13+ 17+	2+ 3-  1 -5 -2 13+ 17+ -7
Curve Equation t Generators 67626g1 [1,-1,0,-1584,20736] 1 [-39:168:1]&[0:144:1]
67626h (2 curves)	0	2+ 3- 13+ 17+	2+ 3- -1 -1 -2 13+ 17+  6
Curve Equation t 67626h1 [1,-1,0,-6990,-342316] 1 67626h2 [1,-1,0,-553200,173898674] 1
67626i (2 curves)	0	2+ 3- 13+ 17+	2+ 3-  2 -4 -2 13+ 17+  0
Curve Equation t 67626i1 [1,-1,0,-243681,-44754391] 2 67626i2 [1,-1,0,94449,-159515713] 2
67626j (2 curves)	2	2+ 3- 13+ 17+	2+ 3- -2 -2  4 13+ 17+ -4
Curve Equation t Generators 67626j1 [1,-1,0,-23463,1208169] 2 [-161:971:1]&[-21:1311:1] 67626j2 [1,-1,0,-361593,83779515] 2 [387:-1494:1]&[5041:352926:1]
67626k (2 curves)	0	2+ 3- 13+ 17+	2+ 3- -2  4 -2 13+ 17+  0
Curve Equation t 67626k1 [1,-1,0,-4601223,1362094141] 2 67626k2 [1,-1,0,17039097,10498637245] 2
67626l (2 curves)	0	2+ 3- 13+ 17+	2+ 3-  4  4 -2 13+ 17+ -4
Curve Equation t 67626l1 [1,-1,0,-377017605,-1005471617067] 2 67626l2 [1,-1,0,-4878204165,-131031247775787] 2
67626m (2 curves)	0	2+ 3- 13+ 17+	2+ 3- -4  2 -2 13+ 17+  0
Curve Equation t 67626m1 [1,-1,0,-446559,67452749] 2 67626m2 [1,-1,0,-3151599,-2104694371] 2
67626n (1 curve)	1	2+ 3- 13+ 17-	2+ 3- -1  3 -2 13+ 17-  7
Curve Equation t Generators 67626n1 [1,-1,0,-239505375690,44474609517705972] 1 [22429346259286077228:2234098788482739021930:68734577336347]
67626o (1 curve)	1	2+ 3- 13+ 17-	2+ 3- -1 -4  5 13+ 17-  0
Curve Equation t Generators 67626o1 [1,-1,0,-457830,-127299438] 1 [5829:438936:1]
67626p (1 curve)	1	2+ 3- 13+ 17-	2+ 3- -1  5  2 13+ 17- -7
Curve Equation t Generators 67626p1 [1,-1,0,-457830,100044724] 1 [-516:14354:1]
67626q (2 curves)	0	2- 3+ 13+ 17+	2- 3+ -2  2 -4 13+ 17+ -6
Curve Equation t 67626q1 [1,-1,1,-8291,-557549] 2 67626q2 [1,-1,1,-164351,-25589573] 2
67626r (2 curves)	1	2- 3+ 13- 17+	2- 3+  3  1  0 13- 17+ -1
Curve Equation t Generators 67626r1 [1,-1,1,-386,3009] 1 [11:-3:1] 67626r2 [1,-1,1,-1406,-16847] 1 [-23:65:1]
67626s (2 curves)	0	2- 3+ 13- 17-	2- 3+ -3 -1  0 13- 17- -1
Curve Equation t 67626s1 [1,-1,1,-111464,14338667] 3 67626s2 [1,-1,1,-406244,-84392981] 1
67626t (2 curves)	1	2- 3- 13+ 17+	2- 3-  0  2 -2 13+ 17+ -4
Curve Equation t Generators 67626t1 [1,-1,1,-53375,-2369001] 2 [-199:684:1] 67626t2 [1,-1,1,-729635,-239601009] 2 [-62445:55444:125]
67626u (2 curves)	1	2- 3- 13+ 17+	2- 3-  0 -2 -4 13+ 17+  4
Curve Equation t Generators 67626u1 [1,-1,1,-49706465,130390498865] 2 [-8045:101704:1] 67626u2 [1,-1,1,20624575,469751833073] 2 [-6821:111496:1]
67626v (1 curve)	1	2- 3- 13+ 17+	2- 3- -1  1  2 13+ 17+ -1
Curve Equation t Generators 67626v1 [1,-1,1,-88339118,-51759611935] 1 [-2238932553303480:331327576247561225:784797991424]
67626w (2 curves)	1	2- 3- 13+ 17+	2- 3-  2 -2  2 13+ 17+ -4
Curve Equation t Generators 67626w1 [1,-1,1,-141809,19847585] 2 [-395:3954:1] 67626w2 [1,-1,1,66271,73032833] 2 [-323:4386:1]
67626x (1 curve)	1	2- 3- 13+ 17+	2- 3- -4  4 -4 13+ 17+  5
Curve Equation t Generators 67626x1 [1,-1,1,328,-4165] 1 [21:-119:1]
67626y (1 curve)	0	2- 3- 13+ 17-	2- 3-  1 -1 -2 13+ 17- -1
Curve Equation t 67626y1 [1,-1,1,-305672,-10463313] 1
67626z (1 curve)	0	2- 3- 13+ 17-	2- 3-  4 -4  4 13+ 17-  5
Curve Equation t 67626z1 [1,-1,1,94882,-20081811] 1
67626ba (1 curve)	0	2- 3- 13- 17+	2- 3-  0 -4  0 13- 17+  3
Curve Equation t 67626ba1 [1,-1,1,-192972605,-1045024462587] 1
67626bb (1 curve)	0	2- 3- 13- 17+	2- 3-  1  0 -3 13- 17+  0
Curve Equation t 67626bb1 [1,-1,1,4918,-108817] 1
67626bc (4 curves)	0	2- 3- 13- 17+	2- 3-  2 -4 -4 13- 17+ -8
Curve Equation t 67626bc1 [1,-1,1,-50774,-91922587] 2 67626bc2 [1,-1,1,-3380054,-2369150107] 4 67626bc3 [1,-1,1,-6085094,1961077925] 2 67626bc4 [1,-1,1,-53943494,-152481890779] 2
67626bd (4 curves)	0	2- 3- 13- 17+	2- 3- -2  0  0 13- 17+  0
Curve Equation t 67626bd1 [1,-1,1,22054,-2312935] 4 67626bd2 [1,-1,1,-186026,-25784359] 4 67626bd3 [1,-1,1,-862286,284213225] 2 67626bd4 [1,-1,1,-2839046,-1840450039] 2
67626be (2 curves)	0	2- 3- 13- 17+	2- 3-  3  1  6 13- 17+  5
Curve Equation t 67626be1 [1,-1,1,-3398261,-2406384867] 1 67626be2 [1,-1,1,-14673596,19400113023] 1
67626bf (1 curve)	0	2- 3- 13- 17+	2- 3-  3  3  2 13- 17+ -1
Curve Equation t 67626bf1 [1,-1,1,-7016,-180421] 1
67626bg (1 curve)	0	2- 3- 13- 17+	2- 3- -3  0  5 13- 17+  8
Curve Equation t 67626bg1 [1,-1,1,-4901639,-4579100161] 1
67626bh (3 curves)	0	2- 3- 13- 17+	2- 3- -3  1  6 13- 17+  2
Curve Equation t 67626bh1 [1,-1,1,1246,-28101] 1 67626bh2 [1,-1,1,-11759,981087] 1 67626bh3 [1,-1,1,-1195214,503239389] 1
67626bi (2 curves)	0	2- 3- 13- 17+	2- 3-  4 -2  2 13- 17+  4
Curve Equation t 67626bi1 [1,-1,1,-743,-6001] 2 67626bi2 [1,-1,1,-3803,85799] 2
67626bj (2 curves)	0	2- 3- 13- 17+	2- 3- -4  2 -2 13- 17+  4
Curve Equation t 67626bj1 [1,-1,1,-214637,-30340155] 2 67626bj2 [1,-1,1,-1098977,417135885] 2
67626bk (1 curve)	1	2- 3- 13- 17-	2- 3-  0  4  0 13- 17-  3
Curve Equation t Generators 67626bk1 [1,-1,1,-55769082755,-5134428261019645] 1 [31053267:173025205906:1]
67626bl (1 curve)	1	2- 3- 13- 17-	2- 3- -1  0  3 13- 17-  0
Curve Equation t Generators 67626bl1 [1,-1,1,1421392,-528931047] 1 [103837546:5134765113:54872]
67626bm (1 curve)	1	2- 3- 13- 17-	2- 3-  3  0 -5 13- 17-  8
Curve Equation t Generators 67626bm1 [1,-1,1,-16961,-928047] 1 [167:852:1]
67626bn (2 curves)	1	2- 3- 13- 17-	2- 3- -3 -1 -6 13- 17-  5
Curve Equation t Generators 67626bn1 [1,-1,1,-11759,-487033] 1 [-63:58:1] 67626bn2 [1,-1,1,-50774,3960677] 3 [-225:2101:1]
67626bo (1 curve)	1	2- 3- 13- 17-	2- 3- -3 -3 -2 13- 17- -1
Curve Equation t Generators 67626bo1 [1,-1,1,-2027534,-894517203] 1 [-505:891:1]

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