Cremona's table of elliptic curves

6450 = 2 · 3 · 5² · 43

Class	r	Atkin-Lehner	Eigenvalues
6450a (2 curves)	1	2+ 3+ 5+ 43+	2+ 3+ 5+ -1  5  7 -4 -1
Curve Equation t Generators 6450a1 [1,1,0,3975,217125] 1 [146:1911:1] 6450a2 [1,1,0,-1497525,-706065375] 1 [204672363764:-16023433637813:32461759]
6450b (2 curves)	1	2+ 3+ 5+ 43+	2+ 3+ 5+  2 -4 -2  2 -4
Curve Equation t Generators 6450b1 [1,1,0,-50,0] 2 [-5:15:1] 6450b2 [1,1,0,200,250] 2 [5:35:1]
6450c (4 curves)	1	2+ 3+ 5+ 43+	2+ 3+ 5+ -2  0 -2  6  8
Curve Equation t Generators 6450c1 [1,1,0,-439150,111824500] 2 [255:3935:1] 6450c2 [1,1,0,-414150,125149500] 2 [295:5215:1] 6450c3 [1,1,0,-857650,-133160000] 2 [8250:740450:1] 6450c4 [1,1,0,3048600,-1004253750] 2 [198943625:18260553800:24389]
6450d (1 curve)	0	2+ 3+ 5+ 43-	2+ 3+ 5+ -2  1  3 -2  4
Curve Equation t 6450d1 [1,1,0,-12735,-558495] 1
6450e (2 curves)	0	2+ 3+ 5+ 43-	2+ 3+ 5+  4 -2  6  4 -2
Curve Equation t 6450e1 [1,1,0,-4775,115125] 2 6450e2 [1,1,0,5225,545125] 2
6450f (2 curves)	0	2+ 3+ 5- 43+	2+ 3+ 5-  0 -4  2  0 -2
Curve Equation t 6450f1 [1,1,0,-218090,39330900] 2 6450f2 [1,1,0,-3494890,2513314900] 2
6450g (1 curve)	0	2+ 3+ 5- 43+	2+ 3+ 5-  3 -4 -1  0  7
Curve Equation t 6450g1 [1,1,0,21425,-102875] 1
6450h (2 curves)	0	2+ 3+ 5- 43+	2+ 3+ 5-  4  0  2 -4 -6
Curve Equation t 6450h1 [1,1,0,675,-7875] 2 6450h2 [1,1,0,-4325,-82875] 2
6450i (2 curves)	1	2+ 3+ 5- 43-	2+ 3+ 5- -2  6 -2 -2  4
Curve Equation t Generators 6450i1 [1,1,0,365,4525] 2 [-1:65:1] 6450i2 [1,1,0,-2835,46125] 2 [-35:340:1]
6450j (1 curve)	1	2+ 3+ 5- 43-	2+ 3+ 5- -5  0  1  4  1
Curve Equation t Generators 6450j1 [1,1,0,-200,-2250] 1 [35:170:1]
6450k (1 curve)	1	2+ 3- 5+ 43-	2+ 3- 5+  1 -1 -1 -4  1
Curve Equation t Generators 6450k1 [1,0,1,-1103101,445850348] 1 [601:-58:1]
6450l (1 curve)	1	2+ 3- 5+ 43-	2+ 3- 5+  1 -4  5  8 -5
Curve Equation t Generators 6450l1 [1,0,1,-1126,26648] 1 [-8:191:1]
6450m (2 curves)	1	2+ 3- 5+ 43-	2+ 3- 5+ -2  2  2 -4 -2
Curve Equation t Generators 6450m1 [1,0,1,-2151,34198] 2 [37:56:1] 6450m2 [1,0,1,-33401,2346698] 2 [72:526:1]
6450n (2 curves)	1	2+ 3- 5+ 43-	2+ 3- 5+  4 -4 -4 -4  4
Curve Equation t Generators 6450n1 [1,0,1,-256401,-51841052] 2 [722:11451:1] 6450n2 [1,0,1,-4144401,-3247777052] 2 [6482:488946:1]
6450o (4 curves)	1	2+ 3- 5+ 43-	2+ 3- 5+ -4  4 -6  6 -4
Curve Equation t Generators 6450o1 [1,0,1,-601,-3652] 2 [-18:46:1] 6450o2 [1,0,1,-8601,-307652] 4 [236:3171:1] 6450o3 [1,0,1,-137601,-19657652] 2 [436:1592:1] 6450o4 [1,0,1,-7601,-381652] 2 [138:1027:1]
6450p (1 curve)	1	2+ 3- 5- 43+	2+ 3- 5- -2 -3  1  2 -8
Curve Equation t Generators 6450p1 [1,0,1,-6451,206798] 1 [127:1136:1]
6450q (1 curve)	0	2+ 3- 5- 43-	2+ 3- 5-  1  4  4  6  6
Curve Equation t 6450q1 [1,0,1,68524,6697298] 1
6450r (1 curve)	0	2+ 3- 5- 43-	2+ 3- 5- -1  0  1  4 -3
Curve Equation t 6450r1 [1,0,1,-5201,1920548] 1
6450s (2 curves)	0	2+ 3- 5- 43-	2+ 3- 5- -1  0 -4 -6  2
Curve Equation t 6450s1 [1,0,1,-201,1798] 3 6450s2 [1,0,1,1674,-31952] 1
6450t (4 curves)	0	2- 3+ 5+ 43+	2- 3+ 5+  0  4  6  6 -8
Curve Equation t 6450t1 [1,1,1,16662,1079031] 4 6450t2 [1,1,1,-111338,10807031] 4 6450t3 [1,1,1,-611338,-175192969] 2 6450t4 [1,1,1,-1659338,821959031] 2
6450u (2 curves)	0	2- 3+ 5+ 43+	2- 3+ 5+  1  0  4  6  2
Curve Equation t 6450u1 [1,1,1,-8,11] 1 6450u2 [1,1,1,67,-229] 1
6450v (1 curve)	0	2- 3+ 5+ 43+	2- 3+ 5+ -1  4 -4 -6  6
Curve Equation t 6450v1 [1,1,1,1713112,837162281] 1
6450w (4 curves)	0	2- 3+ 5+ 43+	2- 3+ 5+ -2 -6 -2  0  2
Curve Equation t 6450w1 [1,1,1,-2688,14781] 2 6450w2 [1,1,1,-33938,2389781] 2 6450w3 [1,1,1,-124563,-16972719] 2 6450w4 [1,1,1,-129563,-15542719] 2
6450x (1 curve)	0	2- 3+ 5+ 43+	2- 3+ 5+  3  4  3  0  7
Curve Equation t 6450x1 [1,1,1,3005748812,-418913313790219] 1
6450y (1 curve)	0	2- 3+ 5+ 43+	2- 3+ 5+  3 -5  3  0  7
Curve Equation t 6450y1 [1,1,1,-363,2781] 1
6450z (2 curves)	0	2- 3+ 5+ 43+	2- 3+ 5+ -4  4 -4  0  0
Curve Equation t 6450z1 [1,1,1,62,-469] 2 6450z2 [1,1,1,-688,-6469] 2
6450ba (1 curve)	1	2- 3+ 5+ 43-	2- 3+ 5+ -1  0 -7  4  1
Curve Equation t Generators 6450ba1 [1,1,1,126662,-597382969] 1 [3125:172587:1]
6450bb (2 curves)	1	2- 3+ 5+ 43-	2- 3+ 5+  2 -2  2  4 -6
Curve Equation t Generators 6450bb1 [1,1,1,-938,7031] 2 [-25:137:1] 6450bb2 [1,1,1,-5938,-172969] 2 [-45:97:1]
6450bc (1 curve)	1	2- 3+ 5+ 43-	2- 3+ 5+  2 -3 -1 -2 -8
Curve Equation t Generators 6450bc1 [1,1,1,-258,1551] 1 [1:35:1]
6450bd (4 curves)	1	2- 3+ 5+ 43-	2- 3+ 5+ -4  0  2 -2  4
Curve Equation t Generators 6450bd1 [1,1,1,-1713,-27969] 2 [65:342:1] 6450bd2 [1,1,1,-2213,-10969] 4 [339:6022:1] 6450bd3 [1,1,1,-20963,1151531] 2 [-1010:11251:8] 6450bd4 [1,1,1,8537,-75469] 2 [2662:49101:8]
6450be (1 curve)	1	2- 3+ 5- 43+	2- 3+ 5-  1  0 -1 -4 -3
Curve Equation t Generators 6450be1 [1,1,1,-208,15281] 1 [5:-123:1]
6450bf (2 curves)	1	2- 3- 5+ 43+	2- 3- 5+ -2  0 -2 -6  4
Curve Equation t Generators 6450bf1 [1,0,0,-47913,4025817] 2 [282:-3741:1] 6450bf2 [1,0,0,-31913,6761817] 2 [262:-4181:1]
6450bg (2 curves)	0	2- 3- 5+ 43-	2- 3- 5+  0  0  4  0  4
Curve Equation t 6450bg1 [1,0,0,-688,-11008] 2 6450bg2 [1,0,0,-12688,-551008] 2
6450bh (2 curves)	0	2- 3- 5+ 43-	2- 3- 5+  0  6 -2  0 -2
Curve Equation t 6450bh1 [1,0,0,-3863188,-2915531008] 2 6450bh2 [1,0,0,-2300688,-5295218508] 2
6450bi (1 curve)	0	2- 3- 5+ 43-	2- 3- 5+  5  1  3  0 -7
Curve Equation t 6450bi1 [1,0,0,62,-508] 1
6450bj (1 curve)	0	2- 3- 5- 43+	2- 3- 5-  2  1 -3  2  4
Curve Equation t 6450bj1 [1,0,0,-318388,-69175108] 1
6450bk (2 curves)	0	2- 3- 5- 43+	2- 3- 5-  2  6  2  2  4
Curve Equation t 6450bk1 [1,0,0,9112,547392] 2 6450bk2 [1,0,0,-70888,5907392] 2
6450bl (1 curve)	0	2- 3- 5- 43+	2- 3- 5-  5  0 -1 -4  1
Curve Equation t 6450bl1 [1,0,0,-8,-18] 1
6450bm (2 curves)	1	2- 3- 5- 43-	2- 3- 5-  0 -4 -2  0 -2
Curve Equation t Generators 6450bm1 [1,0,0,-5452263,4927267017] 2 [1398:-6843:1] 6450bm2 [1,0,0,-87372263,314339107017] 2 [5686:-39995:1]
6450bn (1 curve)	1	2- 3- 5- 43-	2- 3- 5- -3 -4  1  0  7
Curve Equation t Generators 6450bn1 [1,0,0,857,-823] 1 [62:-571:1]
6450bo (2 curves)	1	2- 3- 5- 43-	2- 3- 5- -4  0 -2  4 -6
Curve Equation t Generators 6450bo1 [1,0,0,27,-63] 2 [6:15:1] 6450bo2 [1,0,0,-173,-663] 2 [-8:19:1]

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