Cremona's table of elliptic curves

8450 = 2 · 5² · 13²

Class	r	Atkin-Lehner	Eigenvalues
8450a (2 curves)	1	2+ 5+ 13+	2+  0 5+  3 -3 13+  4  7
Curve Equation t Generators 8450a1 [1,-1,0,-21917,2040741] 1 [149:1363:1] 8450a2 [1,-1,0,-1923167,-1109134259] 1 [13988991841110849:395685206799394138:6860083057001]
8450b (2 curves)	1	2+ 5+ 13+	2+  0 5+ -4  4 13+ -3  0
Curve Equation t Generators 8450b1 [1,-1,0,3433,333841] 1 [-42:359:1] 8450b2 [1,-1,0,-1644317,-811457659] 1 [219658:102836859:1]
8450c (3 curves)	1	2+ 5+ 13+	2+ -1 5+ -1 -6 13+  3 -2
Curve Equation t Generators 8450c1 [1,1,0,2025,58375] 1 [-21:95:1] 8450c2 [1,1,0,-19100,-2033000] 1 [1782:16685:8] 8450c3 [1,1,0,-1941475,-1042037875] 1 [136982:17795485:8]
8450d (4 curves)	1	2+ 5+ 13+	2+ -1 5+  2  3 13+  3 -5
Curve Equation t Generators 8450d1 [1,1,0,-510,5140] 1 [-21:95:1] 8450d2 [1,1,0,3715,-37955] 1 [222:2255:8] 8450d3 [1,1,0,-2200,-469750] 1 [5907:80617:27] 8450d4 [1,1,0,-530325,-148872875] 1 [12947442834:-616320085271:5268024]
8450e (2 curves)	1	2+ 5+ 13+	2+  2 5+ -1 -3 13+ -3  4
Curve Equation t Generators 8450e1 [1,1,0,-107825,13789625] 1 [226:901:1] 8450e2 [1,1,0,420300,66074000] 1 [-36232:1571564:343]
8450f (2 curves)	1	2+ 5+ 13+	2+  2 5+ -1 -3 13+  6 -5
Curve Equation t Generators 8450f1 [1,1,0,-250,1500] 1 [15:30:1] 8450f2 [1,1,0,1375,3125] 1 [-10:305:8]
8450g (4 curves)	1	2+ 5+ 13+	2+  2 5+ -4  6 13+  6 -2
Curve Equation t Generators 8450g1 [1,1,0,-137400,19430000] 2 [2540:125480:1] 8450g2 [1,1,0,-52900,43174500] 2 [-255:6465:1] 8450g3 [1,1,0,-876775,-303676875] 2 [-116310:827105:216] 8450g4 [1,1,0,475225,-1154084875] 2 [172180:8875135:64]
8450h (2 curves)	0	2+ 5+ 13-	2+  1 5+  3  0 13-  3 -6
Curve Equation t 8450h1 [1,0,1,74,-752] 1 8450h2 [1,0,1,-8051,281998] 1
8450i (2 curves)	0	2+ 5+ 13-	2+ -2 5+  0  0 13- -6  0
Curve Equation t 8450i1 [1,0,1,-289501,-22961352] 2 8450i2 [1,0,1,-2486501,1492968648] 2
8450j (1 curve)	0	2+ 5- 13+	2+ -1 5-  4 -1 13+ -7  3
Curve Equation t 8450j1 [1,1,0,2025,387925] 1
8450k (2 curves)	0	2+ 5- 13+	2+ -2 5- -5  3 13+  3  4
Curve Equation t 8450k1 [1,0,1,-551451,-199338202] 1 8450k2 [1,0,1,-47871451,-127490138202] 1
8450l (1 curve)	0	2+ 5- 13+	2+  3 5-  0  3 13+ -7 -1
Curve Equation t 8450l1 [1,-1,0,-93742,11137166] 1
8450m (4 curves)	0	2- 5+ 13+	2-  0 5+  0  0 13+ -2  8
Curve Equation t 8450m1 [1,-1,1,-28255,-653753] 4 8450m2 [1,-1,1,-366255,-85153753] 4 8450m3 [1,-1,1,-5858755,-5456818753] 2 8450m4 [1,-1,1,-281755,-125544753] 2
8450n (2 curves)	0	2- 5+ 13+	2-  0 5+ -3  3 13+  4 -7
Curve Equation t 8450n1 [1,-1,1,-3704005,4472395997] 1 8450n2 [1,-1,1,-325015255,-2437743012753] 1
8450o (2 curves)	0	2- 5+ 13+	2-  0 5+  4 -4 13+ -3  0
Curve Equation t 8450o1 [1,-1,1,20,147] 1 8450o2 [1,-1,1,-9730,-367103] 1
8450p (1 curve)	0	2- 5+ 13+	2-  1 5+ -4 -1 13+  7  3
Curve Equation t 8450p1 [1,0,0,50612,48389392] 1
8450q (2 curves)	0	2- 5+ 13+	2-  2 5+  1  3 13+  6  5
Curve Equation t 8450q1 [1,1,1,-42338,3507031] 1 8450q2 [1,1,1,232287,5704031] 1
8450r (2 curves)	0	2- 5+ 13+	2-  2 5+  5  3 13+ -3  4
Curve Equation t 8450r1 [1,1,1,-22058,-1603529] 1 8450r2 [1,1,1,-1914858,-1020687049] 1
8450s (2 curves)	0	2- 5+ 13+	2- -2 5+ -4  2 13+ -2 -6
Curve Equation t 8450s1 [1,0,0,-3553313,-2578035383] 2 8450s2 [1,0,0,-3215313,-3088077383] 2
8450t (2 curves)	0	2- 5+ 13+	2-  3 5+  1  2 13+  3 -6
Curve Equation t 8450t1 [1,-1,1,-11355,715147] 1 8450t2 [1,-1,1,-898605,-359508353] 1
8450u (1 curve)	0	2- 5+ 13+	2- -3 5+  0  3 13+  7 -1
Curve Equation t 8450u1 [1,-1,1,-3750,89847] 1
8450v (2 curves)	1	2- 5+ 13-	2-  1 5+ -3  0 13-  3  6
Curve Equation t Generators 8450v1 [1,0,0,12587,-1664183] 1 [30480:483479:125] 8450v2 [1,0,0,-1360538,620910692] 1 [1028:17062:1]
8450w (2 curves)	1	2- 5+ 13-	2- -2 5+  0  0 13- -6  0
Curve Equation t Generators 8450w1 [1,0,0,-1713,-10583] 2 [-28:139:1] 8450w2 [1,0,0,-14713,678417] 2 [92:279:1]
8450x (4 curves)	1	2- 5- 13+	2-  1 5- -2  3 13+ -3 -5
Curve Equation t Generators 8450x1 [1,0,0,-88,-3758] 1 [38310:203249:1000] 8450x2 [1,0,0,-21213,-1190983] 1 [352:5739:1] 8450x3 [1,0,0,-12763,668017] 1 [66:305:1] 8450x4 [1,0,0,92862,-4930108] 1 [352:8274:1]
8450y (2 curves)	1	2- 5- 13+	2- -2 5-  1 -3 13+  3  4
Curve Equation t Generators 8450y1 [1,0,0,-4313,110317] 1 [66:305:1] 8450y2 [1,0,0,16812,528592] 1 [482:10744:1]

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