Cremona's table of elliptic curves

17360 = 2⁴ · 5 · 7 · 31

Class	r	Atkin-Lehner	Eigenvalues
17360a (2 curves)	0	2+ 5+ 7+ 31-	2+ -2 5+ 7+  4  0  0  4
Curve Equation t 17360a1 [0,1,0,-3991,95724] 2 17360a2 [0,1,0,-3836,103660] 2
17360b (2 curves)	0	2+ 5+ 7- 31+	2+  2 5+ 7-  4  4  0  4
Curve Equation t 17360b1 [0,-1,0,-8156,287456] 2 17360b2 [0,-1,0,-130656,18221456] 2
17360c (2 curves)	1	2+ 5+ 7- 31-	2+  0 5+ 7-  0  4  6  0
Curve Equation t Generators 17360c1 [0,0,0,-83,418] 2 [3:14:1] 17360c2 [0,0,0,-1483,21978] 2 [-9:186:1]
17360d (1 curve)	1	2+ 5+ 7- 31-	2+  1 5+ 7- -3  1  3  6
Curve Equation t Generators 17360d1 [0,1,0,-8230881,13583553755] 1 [1174:74431:1]
17360e (1 curve)	1	2+ 5+ 7- 31-	2+  1 5+ 7- -3  1 -4 -1
Curve Equation t Generators 17360e1 [0,1,0,-16136,-761836] 1 [-70:172:1]
17360f (1 curve)	1	2+ 5+ 7- 31-	2+ -1 5+ 7- -1 -3  2 -5
Curve Equation t Generators 17360f1 [0,-1,0,-391536,89484640] 1 [186:4802:1]
17360g (2 curves)	1	2+ 5+ 7- 31-	2+  2 5+ 7-  2 -6  2  4
Curve Equation t Generators 17360g1 [0,-1,0,-36,-160] 2 [154:615:8] 17360g2 [0,-1,0,-736,-7440] 2 [6846:1763:216]
17360h (2 curves)	1	2+ 5+ 7- 31-	2+  2 5+ 7- -2  0 -2 -4
Curve Equation t Generators 17360h1 [0,-1,0,6664,247040] 2 [94:1302:1] 17360h2 [0,-1,0,-42336,2481440] 2 [-214:1302:1]
17360i (2 curves)	1	2+ 5+ 7- 31-	2+  2 5+ 7- -2  6 -2 -4
Curve Equation t Generators 17360i1 [0,-1,0,-719236,246003936] 2 [14088:95480:27] 17360i2 [0,-1,0,-11656736,15322253936] 2 [-429055:15248838:125]
17360j (2 curves)	1	2+ 5+ 7- 31-	2+ -2 5+ 7-  0 -2  0  0
Curve Equation t Generators 17360j1 [0,1,0,-656,15844] 2 [-6:140:1] 17360j2 [0,1,0,-14376,657940] 2 [36:434:1]
17360k (2 curves)	1	2+ 5+ 7- 31-	2+ -2 5+ 7-  0  4 -4 -4
Curve Equation t Generators 17360k1 [0,1,0,-71,-236] 2 [12:28:1] 17360k2 [0,1,0,84,-980] 2 [14:56:1]
17360l (1 curve)	1	2+ 5+ 7- 31-	2+ -3 5+ 7-  3  1  3  6
Curve Equation t Generators 17360l1 [0,0,0,-22468,-1297172] 1 [201:1519:1]
17360m (4 curves)	1	2+ 5- 7+ 31-	2+  0 5- 7+ -4 -2 -2  4
Curve Equation t Generators 17360m1 [0,0,0,193,-194] 2 [37:240:1] 17360m2 [0,0,0,-787,-1566] 4 [-7:60:1] 17360m3 [0,0,0,-9467,-353974] 2 [167:1650:1] 17360m4 [0,0,0,-7787,263034] 4 [-70:682:1]
17360n (4 curves)	1	2+ 5- 7- 31+	2+  0 5- 7-  0  6  2 -4
Curve Equation t Generators 17360n1 [0,0,0,-362,2651] 2 [9160:22323:512] 17360n2 [0,0,0,-367,2574] 4 [58:420:1] 17360n3 [0,0,0,-1067,-10166] 2 [1650:10556:27] 17360n4 [0,0,0,253,10386] 4 [-13:70:1]
17360o (1 curve)	1	2+ 5- 7- 31+	2+ -1 5- 7- -5  1 -6  1
Curve Equation t Generators 17360o1 [0,-1,0,-120,400] 1 [0:20:1]
17360p (2 curves)	2	2- 5+ 7+ 31+	2-  0 5+ 7+ -2 -2  0 -8
Curve Equation t Generators 17360p1 [0,0,0,-2603,51802] 2 [-27:320:1]&[21:80:1] 17360p2 [0,0,0,-41803,3289722] 2 [-3:1848:1]&[87:558:1]
17360q (3 curves)	0	2- 5+ 7+ 31+	2- -1 5+ 7+ -3  5 -6  7
Curve Equation t 17360q1 [0,-1,0,-9416,-348560] 1 17360q2 [0,-1,0,-10456,-265744] 1 17360q3 [0,-1,0,-340296,76507120] 1
17360r (2 curves)	0	2- 5+ 7+ 31+	2-  2 5+ 7+  2 -2  2 -4
Curve Equation t 17360r1 [0,-1,0,-176,-1024] 2 17360r2 [0,-1,0,-2976,-61504] 2
17360s (4 curves)	0	2- 5+ 7+ 31+	2-  2 5+ 7+ -6  2 -6  4
Curve Equation t 17360s1 [0,-1,0,-2016,1191680] 2 17360s2 [0,-1,0,-181216,29433600] 2 17360s3 [0,-1,0,-914656,337011456] 2 17360s4 [0,-1,0,-14634656,21553619456] 2
17360t (1 curve)	1	2- 5+ 7+ 31-	2- -1 5+ 7+ -4 -2  3  5
Curve Equation t Generators 17360t1 [0,-1,0,205739,-42980899] 1 [188:1519:1]
17360u (1 curve)	1	2- 5+ 7+ 31-	2- -1 5+ 7+  5 -5  0 -1
Curve Equation t Generators 17360u1 [0,-1,0,-96,256] 1 [0:16:1]
17360v (2 curves)	1	2- 5+ 7+ 31-	2-  2 5+ 7+  2  4 -6 -4
Curve Equation t Generators 17360v1 [0,-1,0,-43456,-11289600] 2 [378159072:-8140230656:658503] 17360v2 [0,-1,0,-1067456,-423347200] 2 [62688:2646656:27]
17360w (2 curves)	1	2- 5+ 7- 31+	2-  0 5+ 7-  2  6 -4  0
Curve Equation t Generators 17360w1 [0,0,0,-31883,-4707782] 2 [474:9310:1] 17360w2 [0,0,0,-659083,-205788102] 2 [986:10146:1]
17360x (2 curves)	0	2- 5+ 7- 31-	2-  0 5+ 7- -4  4  2  0
Curve Equation t 17360x1 [0,0,0,7153717,-493934982] 2 17360x2 [0,0,0,-28686283,-3956078982] 2
17360y (2 curves)	0	2- 5+ 7- 31-	2-  2 5+ 7-  0  6 -4  8
Curve Equation t 17360y1 [0,-1,0,184,-784] 2 17360y2 [0,-1,0,-936,-6160] 2
17360z (1 curve)	0	2- 5+ 7- 31-	2-  3 5+ 7- -4 -2 -1 -3
Curve Equation t 17360z1 [0,0,0,32,9392] 1
17360ba (1 curve)	0	2- 5+ 7- 31-	2- -3 5+ 7-  5  1 -4  3
Curve Equation t 17360ba1 [0,0,0,-284726083,1715178217282] 1
17360bb (2 curves)	1	2- 5- 7+ 31+	2-  1 5- 7+  3 -1 -2  5
Curve Equation t Generators 17360bb1 [0,1,0,-159920,9949268] 1 [-334:5120:1] 17360bb2 [0,1,0,-82390320,287819995988] 1 [4258:119248:1]
17360bc (2 curves)	1	2- 5- 7+ 31+	2- -1 5- 7+  3 -1 -3 -2
Curve Equation t Generators 17360bc1 [0,-1,0,-285,-5183] 1 [49:310:1] 17360bc2 [0,-1,0,2515,125857] 1 [3745:59582:125]
17360bd (2 curves)	1	2- 5- 7+ 31+	2- -1 5- 7+ -3 -1  0  1
Curve Equation t Generators 17360bd1 [0,-1,0,-23080,-1341328] 1 [-86:10:1] 17360bd2 [0,-1,0,-70680,5642992] 1 [82:626:1]
17360be (4 curves)	1	2- 5- 7+ 31+	2-  2 5- 7+  0  2  0  4
Curve Equation t Generators 17360be1 [0,-1,0,102920,-19827600] 2 [6330:504210:1] 17360be2 [0,-1,0,-775160,-210897808] 2 [1084:14880:1] 17360be3 [0,-1,0,-975080,713682800] 2 [-21182142180:-885859287040:27818127] 17360be4 [0,-1,0,-19325160,32686862192] 2 [-85812:6722560:27]
17360bf (2 curves)	1	2- 5- 7+ 31+	2- -2 5- 7+  0  2  4 -4
Curve Equation t Generators 17360bf1 [0,1,0,-40,4788] 2 [-4:70:1] 17360bf2 [0,1,0,-4520,114100] 2 [30:80:1]
17360bg (1 curve)	0	2- 5- 7+ 31-	2-  1 5- 7+ -1  1 -8 -7
Curve Equation t 17360bg1 [0,1,0,-1400,-19372] 1
17360bh (2 curves)	2	2- 5- 7+ 31-	2- -2 5- 7+ -6  0 -6  0
Curve Equation t Generators 17360bh1 [0,1,0,240,5908] 2 [-12:38:1]&[-4:70:1] 17360bh2 [0,1,0,-3760,81108] 2 [-54:360:1]&[-22:392:1]
17360bi (1 curve)	0	2- 5- 7- 31+	2-  1 5- 7-  1  3  5  2
Curve Equation t 17360bi1 [0,1,0,-532645,-149803757] 1
17360bj (1 curve)	0	2- 5- 7- 31+	2-  1 5- 7-  5 -5 -3  2
Curve Equation t 17360bj1 [0,1,0,-5,563] 1
17360bk (4 curves)	1	2- 5- 7- 31-	2-  0 5- 7-  4  2 -2 -4
Curve Equation t Generators 17360bk1 [0,0,0,373,1146] 2 [5:56:1] 17360bk2 [0,0,0,-1627,9546] 4 [-25:186:1] 17360bk3 [0,0,0,-14027,-632774] 2 [-65:66:1] 17360bk4 [0,0,0,-21227,1189466] 4 [95:174:1]
17360bl (1 curve)	1	2- 5- 7- 31-	2-  3 5- 7- -1 -5 -4 -3
Curve Equation t Generators 17360bl1 [0,0,0,-4507,-115894] 1 [-1041:640:27]
17360bm (1 curve)	1	2- 5- 7- 31-	2- -3 5- 7-  1 -1  1  2
Curve Equation t Generators 17360bm1 [0,0,0,-543472,269151664] 1 [-607:19375:1]
17360bn (1 curve)	1	2- 5- 7- 31-	2- -3 5- 7-  1 -1  6 -3
Curve Equation t Generators 17360bn1 [0,0,0,-1987,-33854] 1 [-25:14:1]
17360bo (1 curve)	1	2- 5- 7- 31-	2- -3 5- 7- -1  7 -7 -6
Curve Equation t Generators 17360bo1 [0,0,0,-13312,597616] 1 [57:155:1]

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