Cremona's table of elliptic curves

17040 = 2⁴ · 3 · 5 · 71

Class	r	Atkin-Lehner	Eigenvalues
17040a (2 curves)	1	2+ 3+ 5+ 71+	2+ 3+ 5+  4  0 -4  6  4
Curve Equation t Generators 17040a1 [0,-1,0,4,96] 2 [1:10:1] 17040a2 [0,-1,0,-296,2016] 2 [13:14:1]
17040b (2 curves)	0	2+ 3+ 5+ 71-	2+ 3+ 5+  2  0  4  0 -4
Curve Equation t 17040b1 [0,-1,0,-351,2610] 2 17040b2 [0,-1,0,4,7296] 2
17040c (2 curves)	2	2+ 3+ 5+ 71-	2+ 3+ 5+ -2 -2 -2  0 -4
Curve Equation t Generators 17040c1 [0,-1,0,-96,720] 2 [-4:32:1]&[-2:30:1] 17040c2 [0,-1,0,-1896,32400] 2 [-46:142:1]&[-24:252:1]
17040d (2 curves)	0	2+ 3- 5+ 71+	2+ 3- 5+  2 -4 -6  0  8
Curve Equation t 17040d1 [0,1,0,-2476,48140] 2 17040d2 [0,1,0,-39976,3063140] 2
17040e (2 curves)	2	2+ 3- 5+ 71+	2+ 3- 5+ -4 -6 -2  2 -4
Curve Equation t Generators 17040e1 [0,1,0,-3216,70884] 2 [150:-1728:1]&[-6:300:1] 17040e2 [0,1,0,-51816,4522644] 2 [-153:2982:1]&[60:1278:1]
17040f (2 curves)	1	2+ 3- 5+ 71-	2+ 3- 5+  0  0  0 -6  4
Curve Equation t Generators 17040f1 [0,1,0,-476,4524] 2 [22:72:1] 17040f2 [0,1,0,-7976,271524] 2 [426:201:8]
17040g (2 curves)	1	2+ 3- 5+ 71-	2+ 3- 5+  2  0  0  0  4
Curve Equation t Generators 17040g1 [0,1,0,-111,-396] 2 [12:12:1] 17040g2 [0,1,0,244,-2100] 2 [22:120:1]
17040h (2 curves)	1	2+ 3- 5+ 71-	2+ 3- 5+  2 -2 -2  4 -4
Curve Equation t Generators 17040h1 [0,1,0,-6416,-417180] 2 [106:324:1] 17040h2 [0,1,0,-131416,-18367180] 2 [-214:36:1]
17040i (4 curves)	1	2+ 3- 5- 71+	2+ 3- 5- -4 -4 -2  6 -4
Curve Equation t Generators 17040i1 [0,1,0,-1775,28200] 2 [840:1720:27] 17040i2 [0,1,0,-1780,28028] 4 [31:60:1] 17040i3 [0,1,0,-3280,-27772] 2 [91:660:1] 17040i4 [0,1,0,-360,72900] 4 [-30:240:1]
17040j (1 curve)	0	2+ 3- 5- 71-	2+ 3- 5-  3  6 -3 -6  7
Curve Equation t 17040j1 [0,1,0,-145,-757] 1
17040k (2 curves)	0	2- 3+ 5+ 71+	2- 3+ 5+  2  4  4 -4 -4
Curve Equation t 17040k1 [0,-1,0,-936,-11664] 2 17040k2 [0,-1,0,-15336,-725904] 2
17040l (4 curves)	0	2- 3+ 5+ 71+	2- 3+ 5+ -2  0 -4  0  4
Curve Equation t 17040l1 [0,-1,0,-191736,112253040] 2 17040l2 [0,-1,0,-4857336,4113471600] 2 17040l3 [0,-1,0,-24575976,46902020976] 2 17040l4 [0,-1,0,-393215976,3001330436976] 2
17040m (2 curves)	1	2- 3+ 5+ 71-	2- 3+ 5+  2  0 -6 -4  0
Curve Equation t Generators 17040m1 [0,-1,0,-6376,200560] 2 [36:128:1] 17040m2 [0,-1,0,-102376,12642160] 2 [114:1562:1]
17040n (4 curves)	1	2- 3+ 5+ 71-	2- 3+ 5+ -2 -6  2  0  4
Curve Equation t Generators 17040n1 [0,-1,0,-38856,-2941200] 2 [356:5312:1] 17040n2 [0,-1,0,-622056,-188632080] 2 [10138:260039:8] 17040n3 [0,-1,0,71304,-14895504] 2 [668:18176:1] 17040n4 [0,-1,0,-648696,-171567504] 2 [-595:1846:1]
17040o (2 curves)	2	2- 3+ 5- 71-	2- 3+ 5- -2 -2 -6  0 -4
Curve Equation t Generators 17040o1 [0,-1,0,160,0] 2 [2:18:1]&[5:30:1] 17040o2 [0,-1,0,-640,640] 2 [-24:40:1]&[-8:72:1]
17040p (2 curves)	0	2- 3+ 5- 71-	2- 3+ 5- -2  6  2  0 -4
Curve Equation t 17040p1 [0,-1,0,-14315160160,659460282976000] 2 17040p2 [0,-1,0,-229063524960,42197119794743040] 2
17040q (4 curves)	0	2- 3+ 5- 71-	2- 3+ 5-  4  0  2  6 -4
Curve Equation t 17040q1 [0,-1,0,400,-3648] 2 17040q2 [0,-1,0,-2480,-33600] 4 17040q3 [0,-1,0,-36560,-2678208] 2 17040q4 [0,-1,0,-14480,648000] 4
17040r (1 curve)	2	2- 3+ 5- 71-	2- 3+ 5- -5 -2 -3 -6 -1
Curve Equation t Generators 17040r1 [0,-1,0,-55365,5034537] 1 [-96:3075:1]&[-3961383:2096118750:912673]
17040s (2 curves)	1	2- 3- 5+ 71+	2- 3- 5+  2  0  0  4 -4
Curve Equation t Generators 17040s1 [0,1,0,-216,1620] 2 [6:24:1] 17040s2 [0,1,0,-3816,89460] 2 [-36:426:1]
17040t (2 curves)	1	2- 3- 5+ 71+	2- 3- 5+  2 -2  0  0  4
Curve Equation t Generators 17040t1 [0,1,0,-1456,-54700] 2 [292:4950:1] 17040t2 [0,1,0,-32176,-2229676] 2 [422444:5897250:1331]
17040u (2 curves)	1	2- 3- 5+ 71+	2- 3- 5+ -2  2 -4 -4  4
Curve Equation t Generators 17040u1 [0,1,0,304,6804] 2 [4:90:1] 17040u2 [0,1,0,-4016,88020] 2 [-44:426:1]
17040v (2 curves)	1	2- 3- 5+ 71+	2- 3- 5+  4  6 -6 -6  4
Curve Equation t Generators 17040v1 [0,1,0,-136,-1036] 2 [19:60:1] 17040v2 [0,1,0,-2536,-49996] 2 [115:1092:1]
17040w (2 curves)	0	2- 3- 5+ 71-	2- 3- 5+  2  2  2  4  4
Curve Equation t 17040w1 [0,1,0,1064,-34540] 2 17040w2 [0,1,0,-11736,-439020] 2
17040x (4 curves)	0	2- 3- 5- 71+	2- 3- 5-  0  4  2  2 -4
Curve Equation t 17040x1 [0,1,0,-3280,71060] 2 17040x2 [0,1,0,-4560,9108] 4 17040x3 [0,1,0,-47760,-4017132] 2 17040x4 [0,1,0,18160,90900] 4
17040y (1 curve)	0	2- 3- 5- 71+	2- 3- 5- -1  2 -1 -2  1
Curve Equation t 17040y1 [0,1,0,-405,-3645] 1
17040z (4 curves)	1	2- 3- 5- 71-	2- 3- 5-  0  0 -6 -6  4
Curve Equation t Generators 17040z1 [0,1,0,3920,1750100] 2 [140:-2250:1] 17040z2 [0,1,0,-196080,32390100] 4 [-420:6390:1] 17040z3 [0,1,0,-480080,-83141100] 2 [-500:5670:1] 17040z4 [0,1,0,-3112080,2112081300] 4 [735:14910:1]
17040ba (1 curve)	1	2- 3- 5- 71-	2- 3- 5-  1 -2 -1 -2  7
Curve Equation t Generators 17040ba1 [0,1,0,715,-6225] 1 [55:-450:1]
17040bb (2 curves)	1	2- 3- 5- 71-	2- 3- 5- -2  6  4 -8 -4
Curve Equation t Generators 17040bb1 [0,1,0,-78520,14134100] 2 [140:2430:1] 17040bb2 [0,1,0,-1478200,691019348] 2 [1046:-17040:1]
17040bc (4 curves)	1	2- 3- 5- 71-	2- 3- 5-  4  0 -2 -2 -4
Curve Equation t Generators 17040bc1 [0,1,0,-8320,-320332] 2 [196:2370:1] 17040bc2 [0,1,0,-136320,-19417932] 4 [12972:138250:27] 17040bc3 [0,1,0,-2181120,-1240572492] 2 [-6571284550900:-69059886:7703734375] 17040bc4 [0,1,0,-139520,-18461772] 4 [-198:1200:1]
17040bd (4 curves)	1	2- 3- 5- 71-	2- 3- 5- -4 -4  2 -2  4
Curve Equation t Generators 17040bd1 [0,1,0,80,-1900] 2 [20:90:1] 17040bd2 [0,1,0,-1920,-31500] 4 [-22:24:1] 17040bd3 [0,1,0,-30320,-2042220] 2 [628:15066:1] 17040bd4 [0,1,0,-5520,116820] 4 [68:246:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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