Cremona's table of elliptic curves

34450 = 2 · 5² · 13 · 53

Class	r	Atkin-Lehner	Eigenvalues
34450a (4 curves)	1	2+ 5+ 13+ 53+	2+  0 5+  4  0 13+ -2  4
Curve Equation t Generators 34450a1 [1,-1,0,-224417,40975741] 2 [-126:8263:1] 34450a2 [1,-1,0,-226417,40209741] 4 [-127:8243:1] 34450a3 [1,-1,0,86083,142397241] 2 [-16:11883:1] 34450a4 [1,-1,0,-570917,-111025759] 2 [-2623047:50225323:9261]
34450b (2 curves)	2	2+ 5+ 13+ 53-	2+  0 5+  2 -2 13+ -6  0
Curve Equation t Generators 34450b1 [1,-1,0,-692,3216] 2 [-25:79:1]&[-16:108:1] 34450b2 [1,-1,0,-5692,-161784] 2 [-41:58:1]&[99:438:1]
34450c (1 curve)	0	2+ 5+ 13+ 53-	2+  1 5+  4  6 13+  6 -5
Curve Equation t 34450c1 [1,0,1,974,10948] 1
34450d (1 curve)	0	2+ 5+ 13+ 53-	2+ -1 5+  0 -2 13+  2 -1
Curve Equation t 34450d1 [1,1,0,-3139775,2140253125] 1
34450e (2 curves)	0	2+ 5+ 13+ 53-	2+ -1 5+  1  0 13+  3 -4
Curve Equation t 34450e1 [1,1,0,-1300,338000] 1 34450e2 [1,1,0,11700,-9113000] 1
34450f (2 curves)	2	2+ 5+ 13+ 53-	2+ -2 5+  0 -4 13+  2 -4
Curve Equation t Generators 34450f1 [1,0,1,-276,-802] 2 [-13:31:1]&[-12:34:1] 34450f2 [1,0,1,974,-5802] 2 [22:-174:1]&[246:1723:8]
34450g (1 curve)	0	2+ 5+ 13- 53+	2+  0 5+  2  1 13- -3 -6
Curve Equation t 34450g1 [1,-1,0,-193817,32919341] 1
34450h (2 curves)	0	2+ 5+ 13- 53+	2+  0 5+  2  6 13-  2  4
Curve Equation t 34450h1 [1,-1,0,-52442,-4502784] 2 34450h2 [1,-1,0,-833692,-292784034] 2
34450i (1 curve)	0	2+ 5+ 13- 53+	2+  3 5+  2 -3 13- -1 -5
Curve Equation t 34450i1 [1,-1,0,-307,15221] 1
34450j (2 curves)	1	2+ 5+ 13- 53-	2+  2 5+ -2  2 13-  2 -4
Curve Equation t Generators 34450j1 [1,1,0,-9703100,-11505502000] 2 [-15298:70283:8] 34450j2 [1,1,0,-1511100,-30306142000] 2 [401160:48305020:27]
34450k (1 curve)	1	2+ 5- 13- 53+	2+  0 5-  4 -2 13-  3  3
Curve Equation t Generators 34450k1 [1,-1,0,-1367,144541] 1 [69:578:1]
34450l (1 curve)	0	2- 5+ 13+ 53+	2-  2 5+  2 -5 13+  4 -8
Curve Equation t 34450l1 [1,1,1,-963,-74719] 1
34450m (2 curves)	0	2- 5+ 13+ 53+	2- -2 5+  0 -2 13+ -2  2
Curve Equation t 34450m1 [1,0,0,-95063,-11289383] 2 34450m2 [1,0,0,-94563,-11413883] 2
34450n (1 curve)	1	2- 5+ 13+ 53-	2-  0 5+ -4 -2 13+ -3  3
Curve Equation t Generators 34450n1 [1,-1,1,-55,1167] 1 [3:-34:1]
34450o (2 curves)	1	2- 5+ 13+ 53-	2- -1 5+ -2  0 13+  6 -7
Curve Equation t Generators 34450o1 [1,1,1,1312,-61719] 1 [55:397:1] 34450o2 [1,1,1,-88063,-10104219] 1 [555:-10878:1]
34450p (2 curves)	1	2- 5+ 13+ 53-	2-  2 5+ -2 -3 13+  0 -4
Curve Equation t Generators 34450p1 [1,1,1,4123812,138334781] 1 [45:17977:1] 34450p2 [1,1,1,-54920563,-169156992719] 1 [8995:249902:1]
34450q (4 curves)	1	2- 5+ 13+ 53-	2-  2 5+  4  0 13+ -6 -4
Curve Equation t Generators 34450q1 [1,1,1,-52313,4101031] 2 [-229:2148:1] 34450q2 [1,1,1,72687,20851031] 2 [-110691:1890892:729] 34450q3 [1,1,1,-986688,-377042719] 2 [-591:613:1] 34450q4 [1,1,1,-666688,-625362719] 2 [39865:7938017:1]
34450r (1 curve)	1	2- 5+ 13- 53+	2- -1 5+  2  4 13-  2  3
Curve Equation t Generators 34450r1 [1,1,1,-3313,-97719] 1 [213891740:4585268567:438976]
34450s (1 curve)	1	2- 5+ 13- 53+	2- -1 5+ -5  4 13- -5 -4
Curve Equation t Generators 34450s1 [1,1,1,-345213,78208531] 1 [439:3172:1]
34450t (1 curve)	1	2- 5+ 13- 53+	2-  2 5+  2 -5 13- -4  0
Curve Equation t Generators 34450t1 [1,1,1,-3313,72031] 1 [25:62:1]
34450u (1 curve)	1	2- 5+ 13- 53+	2- -3 5+  2  0 13-  6 -5
Curve Equation t Generators 34450u1 [1,-1,1,-91116105,-574731170103] 1 [12039:264380:1]
34450v (2 curves)	2	2- 5+ 13- 53-	2- -2 5+ -2 -2 13- -6 -8
Curve Equation t Generators 34450v1 [1,0,0,-6838,80292] 2 [172:-2086:1]&[-78:414:1] 34450v2 [1,0,0,25162,624292] 2 [132:-2566:1]&[-8:654:1]
34450w (1 curve)	2	2- 5- 13+ 53-	2- -3 5- -2 -3 13+  1 -5
Curve Equation t Generators 34450w1 [1,-1,1,-7680,1894947] 1 [69:-1335:1]&[125:1633:1]

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