Cremona's table of elliptic curves

21658 = 2 · 7² · 13 · 17

Class	r	Atkin-Lehner	Eigenvalues
21658a (1 curve)	1	2+ 7+ 13+ 17+	2+ -2 -3 7+  4 13+ 17+  5
Curve Equation t Generators 21658a1 [1,0,1,13155,-700360] 1 [344:6503:1]
21658b (2 curves)	1	2+ 7+ 13- 17-	2+  1  0 7+  6 13- 17- -1
Curve Equation t Generators 21658b1 [1,0,1,-16686,811584] 3 [-1098:6319:8] 21658b2 [1,0,1,-162461,-24891464] 1 [-2026:2283:8]
21658c (1 curve)	1	2+ 7+ 13- 17-	2+ -1  0 7+ -2 13- 17- -1
Curve Equation t Generators 21658c1 [1,1,0,-25,-13] 1 [-1:4:1]
21658d (1 curve)	0	2+ 7- 13+ 17+	2+  1  0 7- -2 13+ 17+  1
Curve Equation t 21658d1 [1,0,1,-1251,732] 1
21658e (1 curve)	0	2+ 7- 13+ 17+	2+  1  0 7-  5 13+ 17+ -6
Curve Equation t 21658e1 [1,0,1,240564,-431662710] 1
21658f (2 curves)	0	2+ 7- 13+ 17+	2+ -1  0 7-  6 13+ 17+  1
Curve Equation t 21658f1 [1,1,0,-340,-2512] 1 21658f2 [1,1,0,-3315,71149] 1
21658g (1 curve)	0	2+ 7- 13+ 17+	2+ -2 -3 7-  4 13+ 17+ -2
Curve Equation t 21658g1 [1,0,1,-40990,4064400] 1
21658h (2 curves)	1	2+ 7- 13+ 17-	2+ -1  0 7-  3 13+ 17-  7
Curve Equation t Generators 21658h1 [1,1,0,-2230,-44848] 1 [62:214:1] 21658h2 [1,1,0,13695,42421] 1 [202:3231:1]
21658i (1 curve)	1	2+ 7- 13+ 17-	2+  2 -1 7-  6 13+ 17-  4
Curve Equation t Generators 21658i1 [1,1,0,8697,271349] 1 [98652:1642007:1728]
21658j (1 curve)	1	2+ 7- 13- 17+	2+ -2  1 7-  6 13- 17+ -4
Curve Equation t Generators 21658j1 [1,0,1,177,-766] 1 [4:1:1]
21658k (2 curves)	1	2+ 7- 13- 17+	2+ -2 -2 7-  2 13- 17+  4
Curve Equation t Generators 21658k1 [1,0,1,-2672,51006] 2 [-24:330:1] 21658k2 [1,0,1,1248,188990] 2 [5:439:1]
21658l (1 curve)	0	2+ 7- 13- 17-	2+ -1  0 7-  1 13- 17-  1
Curve Equation t 21658l1 [1,1,0,-70830,-7356236] 1
21658m (1 curve)	0	2+ 7- 13- 17-	2+ -1  0 7-  5 13- 17-  6
Curve Equation t 21658m1 [1,1,0,4910,1260596] 1
21658n (1 curve)	0	2+ 7- 13- 17-	2+  2  3 7-  4 13- 17- -5
Curve Equation t 21658n1 [1,1,0,269,2157] 1
21658o (1 curve)	1	2- 7+ 13- 17+	2- -1  2 7+  2 13- 17+ -5
Curve Equation t Generators 21658o1 [1,1,1,-12447,528709] 1 [59:34:1]
21658p (4 curves)	1	2- 7- 13+ 17+	2-  0 -2 7-  4 13+ 17+  4
Curve Equation t Generators 21658p1 [1,-1,1,-45016,3454427] 2 [95:121:1] 21658p2 [1,-1,1,-707496,229227611] 4 [-789:17593:1] 21658p3 [1,-1,1,-694756,237870427] 2 [-787:17619:1] 21658p4 [1,-1,1,-11319916,14662118811] 2 [10873:1079423:1]
21658q (1 curve)	1	2- 7- 13+ 17+	2- -1 -2 7- -3 13+ 17+  1
Curve Equation t Generators 21658q1 [1,1,1,6,55] 1 [-1:7:1]
21658r (4 curves)	1	2- 7- 13+ 17+	2-  2  0 7-  0 13+ 17+  4
Curve Equation t Generators 21658r1 [1,1,1,-232163,-42622847] 2 [629:7476:1] 21658r2 [1,1,1,-28323,-114619135] 2 [15735:213500:27] 21658r3 [1,1,1,-1898163,984672737] 2 [335909307:1824079628:357911] 21658r4 [1,1,1,254897,3093810313] 2 [-420584016838917:23384043098397016:489490178841]
21658s (1 curve)	0	2- 7- 13+ 17-	2-  1 -2 7-  2 13+ 17-  5
Curve Equation t 21658s1 [1,0,0,-609904,-183176960] 1
21658t (1 curve)	0	2- 7- 13+ 17-	2-  1 -2 7- -5 13+ 17-  5
Curve Equation t 21658t1 [1,0,0,-118742534,-5724570079852] 1
21658u (1 curve)	0	2- 7- 13+ 17-	2-  1  4 7- -5 13+ 17-  2
Curve Equation t 21658u1 [1,0,0,23274,175748] 1
21658v (3 curves)	0	2- 7- 13+ 17-	2-  2 -3 7-  0 13+ 17- -2
Curve Equation t 21658v1 [1,1,1,-17102,-868085] 1 21658v2 [1,1,1,4458,-2835925] 1 21658v3 [1,1,1,-40132,76712635] 1
21658w (1 curve)	0	2- 7- 13+ 17-	2- -2  1 7- -2 13+ 17- -4
Curve Equation t 21658w1 [1,0,0,-3480,114694] 1
21658x (2 curves)	0	2- 7- 13- 17+	2-  0  4 7- -2 13- 17+  0
Curve Equation t 21658x1 [1,-1,1,-8413,176229] 2 21658x2 [1,-1,1,-59373,-5429371] 2
21658y (1 curve)	0	2- 7- 13- 17+	2- -1  2 7- -5 13- 17+ -5
Curve Equation t 21658y1 [1,1,1,-2423317,16688670123] 1
21658z (1 curve)	2	2- 7- 13- 17+	2- -1 -4 7- -5 13- 17+ -2
Curve Equation t Generators 21658z1 [1,1,1,475,-309] 1 [3:32:1]&[27:-196:1]
21658ba (1 curve)	0	2- 7- 13- 17+	2-  2 -1 7- -2 13- 17+  4
Curve Equation t 21658ba1 [1,1,1,-71,-365] 1
21658bb (1 curve)	2	2- 7- 13- 17+	2- -3 -2 7- -3 13- 17+ -4
Curve Equation t Generators 21658bb1 [1,-1,1,-1221261,519928245] 1 [190494050455713611251289704869:-2388270092130458861613793302744:220820270985505842379250059]&[-537:32216:1]
21658bc (2 curves)	1	2- 7- 13- 17-	2-  0 -2 7- -2 13- 17-  0
Curve Equation t Generators 21658bc1 [1,-1,1,-4591,-114733] 2 [359:6484:1] 21658bc2 [1,-1,1,1779,-412849] 2 [2846:52327:8]
21658bd (1 curve)	1	2- 7- 13- 17-	2-  1  2 7-  1 13- 17- -8
Curve Equation t Generators 21658bd1 [1,0,0,-6812,-303472] 1 [116:628:1]
21658be (1 curve)	1	2- 7- 13- 17-	2-  1  2 7- -3 13- 17- -1
Curve Equation t Generators 21658be1 [1,0,0,293,-18047] 1 [396:7691:1]
21658bf (2 curves)	1	2- 7- 13- 17-	2- -2  2 7-  4 13- 17-  4
Curve Equation t Generators 21658bf1 [1,0,0,-442,3072] 2 [8:4:1] 21658bf2 [1,0,0,-6812,215830] 2 [7046:204727:8]
21658bg (1 curve)	1	2- 7- 13- 17-	2- -2 -3 7-  4 13- 17- -6
Curve Equation t Generators 21658bg1 [1,0,0,2057803,378461089] 1 [2202:123751:1]
21658bh (2 curves)	1	2- 7- 13- 17-	2- -2 -4 7- -2 13- 17-  4
Curve Equation t Generators 21658bh1 [1,0,0,-7102600,-2600716224] 2 [-2264:44448:1] 21658bh2 [1,0,0,-91900040,-338822565824] 2 [-5592:17824:1]

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