Cremona's table of elliptic curves

68306 = 2 · 7² · 17 · 41

Class	r	Atkin-Lehner	Eigenvalues
68306a (1 curve)	1	2+ 7+ 17+ 41+	2+ -3 -2 7+ -3 -3 17+  2
Curve Equation t Generators 68306a1 [1,-1,0,9497,1558801] 1 [80:-1721:1]
68306b (2 curves)	2	2+ 7+ 17+ 41-	2+  1 -3 7+  3 -4 17+ -1
Curve Equation t Generators 68306b1 [1,0,1,-1055,24742] 3 [25:106:1]&[76:582:1] 68306b2 [1,0,1,8990,-493580] 1 [53:337:1]&[662:16864:1]
68306c (1 curve)	1	2+ 7+ 17- 41-	2+ -2 -1 7+ -2 -2 17-  5
Curve Equation t Generators 68306c1 [1,0,1,-1017119,392034738] 1 [-678:28089:1]
68306d (1 curve)	1	2+ 7+ 17- 41-	2+ -2 -3 7+ -2  2 17-  3
Curve Equation t Generators 68306d1 [1,0,1,-565,2790] 1 [4:22:1]
68306e (2 curves)	0	2+ 7- 17+ 41+	2+  0  2 7-  4  2 17+ -6
Curve Equation t 68306e1 [1,-1,0,-646,-5916] 2 68306e2 [1,-1,0,334,-22968] 2
68306f (1 curve)	0	2+ 7- 17+ 41+	2+  2  1 7- -2  2 17+ -5
Curve Equation t 68306f1 [1,1,0,-49838807,-134517754027] 1
68306g (1 curve)	0	2+ 7- 17+ 41+	2+  2  3 7- -2 -2 17+ -3
Curve Equation t 68306g1 [1,1,0,-11,-13] 1
68306h (2 curves)	1	2+ 7- 17+ 41-	2+  0 -2 7- -2  0 17+  2
Curve Equation t Generators 68306h1 [1,-1,0,-184543,51279885] 2 [-243:9162:1] 68306h2 [1,-1,0,-3479303,2497968661] 2 [2053:62257:1]
68306i (2 curves)	1	2+ 7- 17- 41+	2+ -1  3 7-  3  4 17-  1
Curve Equation t Generators 68306i1 [1,1,0,-51671,-8538263] 1 [37680:211319:125] 68306i2 [1,1,0,440534,169738388] 1 [2012:94942:1]
68306j (2 curves)	0	2+ 7- 17- 41-	2+  0  0 7-  0 -4 17-  6
Curve Equation t 68306j1 [1,-1,0,-34162,-2252076] 2 68306j2 [1,-1,0,-535922,-150873388] 2
68306k (2 curves)	0	2+ 7- 17- 41-	2+  0  2 7-  4 -6 17-  2
Curve Equation t 68306k1 [1,-1,0,-1183261,495512709] 2 68306k2 [1,-1,0,-991181,661585077] 2
68306l (2 curves)	2	2+ 7- 17- 41-	2+  0 -2 7-  0  0 17- -4
Curve Equation t Generators 68306l1 [1,-1,0,-11573,478645] 2 [9:608:1]&[366:1483:8] 68306l2 [1,-1,0,-3733,1110549] 2 [41:992:1]&[59:1016:1]
68306m (2 curves)	0	2+ 7- 17- 41-	2+  0 -2 7-  4  6 17-  2
Curve Equation t 68306m1 [1,-1,0,-154408,2466624] 2 68306m2 [1,-1,0,613912,19216000] 2
68306n (2 curves)	0	2+ 7- 17- 41-	2+  0 -4 7-  0  0 17- -2
Curve Equation t 68306n1 [1,-1,0,-79144,-8290836] 2 68306n2 [1,-1,0,-1255634,-541240806] 2
68306o (1 curve)	0	2+ 7- 17- 41-	2+ -1 -1 7-  5  5 17- -2
Curve Equation t 68306o1 [1,1,0,-858,60796] 1
68306p (2 curves)	0	2+ 7- 17- 41-	2+ -1  3 7- -3  1 17- -2
Curve Equation t 68306p1 [1,1,0,-2427926,-1568373932] 1 68306p2 [1,1,0,14631179,563543597] 1
68306q (2 curves)	0	2+ 7- 17- 41-	2+ -2  2 7-  2  4 17-  6
Curve Equation t 68306q1 [1,0,1,-5636545,-3242126604] 2 68306q2 [1,0,1,-37749185,86891631348] 2
68306r (1 curve)	0	2+ 7- 17- 41-	2+  3  2 7- -3  3 17- -2
Curve Equation t 68306r1 [1,-1,0,194,-4600] 1
68306s (1 curve)	0	2+ 7- 17- 41-	2+  3 -3 7- -3 -1 17-  6
Curve Equation t 68306s1 [1,-1,0,89,503] 1
68306t (1 curve)	1	2- 7+ 17+ 41-	2- -1 -2 7+ -1  1 17+ -6
Curve Equation t Generators 68306t1 [1,1,1,881,-24795] 1 [41:-308:1]
68306u (1 curve)	1	2- 7+ 17- 41+	2-  0 -1 7+  4 -6 17-  1
Curve Equation t Generators 68306u1 [1,-1,1,-121313548,514321271055] 1 [6309:3509:1]
68306v (1 curve)	0	2- 7- 17+ 41-	2-  0  1 7-  4  6 17+ -1
Curve Equation t 68306v1 [1,-1,1,-2475787,-1498771557] 1
68306w (1 curve)	0	2- 7- 17+ 41-	2-  1  3 7-  3  1 17+  4
Curve Equation t 68306w1 [1,0,0,-2304,-47104] 1
68306x (1 curve)	0	2- 7- 17- 41+	2-  1  2 7- -1 -1 17-  6
Curve Equation t 68306x1 [1,0,0,43168,8634128] 1
68306y (2 curves)	0	2- 7- 17- 41+	2- -1  3 7- -3  7 17-  4
Curve Equation t 68306y1 [1,1,1,-3039,80653] 1 68306y2 [1,1,1,-264209,52161969] 1
68306z (2 curves)	1	2- 7- 17- 41-	2-  2  2 7- -4  2 17-  4
Curve Equation t Generators 68306z1 [1,1,1,-3382,-596429] 2 [385:7247:1] 68306z2 [1,1,1,-128822,-17756621] 2 [-211:399:1]
68306ba (2 curves)	1	2- 7- 17- 41-	2- -2 -4 7-  2  2 17-  8
Curve Equation t Generators 68306ba1 [1,0,0,-29695,1965081] 2 [118:-387:1] 68306ba2 [1,0,0,-37535,843961] 2 [-30:1409:1]

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