Cremona's table of elliptic curves

6150 = 2 · 3 · 5² · 41

Class	r	Atkin-Lehner	Eigenvalues
6150a (2 curves)	1	2+ 3+ 5+ 41+	2+ 3+ 5+ -1 -2  0 -4 -1
Curve Equation t Generators 6150a1 [1,1,0,57625,-1996875] 1 [350:6075:8] 6150a2 [1,1,0,-30051125,-63419818125] 1 [15955148950:-4560051370525:195112]
6150b (1 curve)	1	2+ 3+ 5+ 41+	2+ 3+ 5+  2  1  6 -7  2
Curve Equation t Generators 6150b1 [1,1,0,-950,-13500] 1 [36:6:1]
6150c (4 curves)	1	2+ 3+ 5+ 41+	2+ 3+ 5+  4 -6  4  0  2
Curve Equation t Generators 6150c1 [1,1,0,-12900,450000] 2 [-24:876:1] 6150c2 [1,1,0,27100,2730000] 2 [101:2501:1] 6150c3 [1,1,0,-318900,-69408000] 2 [-324:348:1] 6150c4 [1,1,0,-256400,-97345500] 2 [2801:144098:1]
6150d (1 curve)	0	2+ 3+ 5+ 41-	2+ 3+ 5+ -1 -4  3  6 -2
Curve Equation t 6150d1 [1,1,0,4285,55245] 1
6150e (2 curves)	0	2+ 3+ 5+ 41-	2+ 3+ 5+  2  2  1  7  5
Curve Equation t 6150e1 [1,1,0,-4375,-3480875] 1 6150e2 [1,1,0,-14488375,-21232500875] 1
6150f (2 curves)	0	2+ 3+ 5+ 41-	2+ 3+ 5+  2  2 -6  0 -2
Curve Equation t 6150f1 [1,1,0,-1317650,558492000] 2 6150f2 [1,1,0,-20848900,36632710750] 2
6150g (1 curve)	0	2+ 3+ 5+ 41-	2+ 3+ 5+  3  2  1  0 -6
Curve Equation t 6150g1 [1,1,0,-19700,1074000] 1
6150h (1 curve)	0	2+ 3+ 5+ 41-	2+ 3+ 5+ -3  2  4  0  3
Curve Equation t 6150h1 [1,1,0,-525,-4875] 1
6150i (4 curves)	2	2+ 3+ 5+ 41-	2+ 3+ 5+ -4 -4 -2 -2 -4
Curve Equation t Generators 6150i1 [1,1,0,-225,1125] 2 [-15:45:1]&[-10:55:1] 6150i2 [1,1,0,-725,-6375] 4 [-20:35:1]&[-19:41:1] 6150i3 [1,1,0,-10975,-447125] 2 [-61:35:1]&[121:61:1] 6150i4 [1,1,0,1525,-35625] 2 [25:125:1]&[29:170:1]
6150j (2 curves)	1	2+ 3+ 5- 41-	2+ 3+ 5-  0  0  6  0 -6
Curve Equation t Generators 6150j1 [1,1,0,148175,34967125] 2 [-281568:190345825:32768] 6150j2 [1,1,0,-1131825,374167125] 2 [8278:137229:8]
6150k (1 curve)	1	2+ 3+ 5- 41-	2+ 3+ 5-  1 -4 -2  8  1
Curve Equation t Generators 6150k1 [1,1,0,-51700,4594000] 1 [135:245:1]
6150l (2 curves)	1	2+ 3+ 5- 41-	2+ 3+ 5-  4 -4 -2 -4 -2
Curve Equation t Generators 6150l1 [1,1,0,10,0] 2 [1:3:1] 6150l2 [1,1,0,-40,-50] 2 [-5:10:1]
6150m (1 curve)	0	2+ 3- 5+ 41+	2+ 3- 5+ -2  2  7 -7  7
Curve Equation t 6150m1 [1,0,1,-6751,-214102] 1
6150n (8 curves)	1	2+ 3- 5+ 41-	2+ 3- 5+  0  4  2 -2 -4
Curve Equation t Generators 6150n1 [1,0,1,-122251,16425398] 2 [162:856:1] 6150n2 [1,0,1,-154251,7145398] 4 [-353:4376:1] 6150n3 [1,0,1,-1404251,-635354602] 4 [-642:1612:1] 6150n4 [1,0,1,583749,55853398] 2 [16:8066:1] 6150n5 [1,0,1,-22416751,-40853279602] 4 [9517:774866:1] 6150n6 [1,0,1,-391751,-1532429602] 2 [1317:14716:1] 6150n7 [1,0,1,-358668001,-2614520347102] 2 [26122:2403776:1] 6150n8 [1,0,1,-22365501,-41049362102] 2 [3264044:265797447:343]
6150o (1 curve)	1	2+ 3- 5+ 41-	2+ 3- 5+ -1 -2  1 -4 -6
Curve Equation t Generators 6150o1 [1,0,1,-21,-182] 1 [8:9:1]
6150p (2 curves)	1	2+ 3- 5+ 41-	2+ 3- 5+  2 -2 -2 -4 -6
Curve Equation t Generators 6150p1 [1,0,1,-1526,13448] 2 [-18:196:1] 6150p2 [1,0,1,-21526,1213448] 2 [-68:1571:1]
6150q (1 curve)	1	2+ 3- 5+ 41-	2+ 3- 5+ -3 -2 -4  4  5
Curve Equation t Generators 6150q1 [1,0,1,-1,1898] 1 [-8:41:1]
6150r (1 curve)	1	2+ 3- 5- 41+	2+ 3- 5- -1  0 -2  0 -5
Curve Equation t Generators 6150r1 [1,0,1,19,8] 1 [2:6:1]
6150s (1 curve)	1	2+ 3- 5- 41+	2+ 3- 5- -2 -3  2  3  2
Curve Equation t Generators 6150s1 [1,0,1,-70501,7200848] 1 [163:-298:1]
6150t (2 curves)	0	2- 3+ 5+ 41+	2- 3+ 5+  1  6  4  0  5
Curve Equation t 6150t1 [1,1,1,3037,1845281] 1 6150t2 [1,1,1,-27338,-49852969] 1
6150u (2 curves)	0	2- 3+ 5+ 41+	2- 3+ 5+  2  0  4  6 -4
Curve Equation t 6150u1 [1,1,1,-1313,-6469] 2 6150u2 [1,1,1,4937,-43969] 2
6150v (1 curve)	0	2- 3+ 5+ 41+	2- 3+ 5+  2 -3 -2 -3  2
Curve Equation t 6150v1 [1,1,1,-1762513,900106031] 1
6150w (2 curves)	0	2- 3+ 5+ 41+	2- 3+ 5+ -2  4 -4  2  0
Curve Equation t 6150w1 [1,1,1,-11347413,-14717462469] 2 6150w2 [1,1,1,-11331413,-14761014469] 2
6150x (2 curves)	0	2- 3+ 5+ 41+	2- 3+ 5+ -2 -6  1 -3  5
Curve Equation t 6150x1 [1,1,1,-38,281] 1 6150x2 [1,1,1,337,-7219] 1
6150y (4 curves)	1	2- 3+ 5+ 41-	2- 3+ 5+  0 -4 -2  6  0
Curve Equation t Generators 6150y1 [1,1,1,-213,9531] 4 [-9:108:1] 6150y2 [1,1,1,-8213,281531] 4 [-45:772:1] 6150y3 [1,1,1,-13213,-108469] 2 [-19:378:1] 6150y4 [1,1,1,-131213,18239531] 2 [209:-98:1]
6150z (1 curve)	1	2- 3+ 5- 41+	2- 3+ 5-  1  0  2  0 -5
Curve Equation t Generators 6150z1 [1,1,1,487,1031] 1 [35:232:1]
6150ba (1 curve)	0	2- 3+ 5- 41-	2- 3+ 5-  1 -2 -1  4 -6
Curve Equation t 6150ba1 [1,1,1,-513,-22719] 1
6150bb (2 curves)	1	2- 3- 5+ 41+	2- 3- 5+ -2 -4  4  2 -8
Curve Equation t Generators 6150bb1 [1,0,0,-1663,25817] 2 [2:149:1] 6150bb2 [1,0,0,-663,56817] 2 [12:219:1]
6150bc (1 curve)	0	2- 3- 5+ 41-	2- 3- 5+  2  2 -1 -5 -1
Curve Equation t 6150bc1 [1,0,0,-1038,-13308] 1
6150bd (2 curves)	0	2- 3- 5+ 41-	2- 3- 5+  2  2  2  4  2
Curve Equation t 6150bd1 [1,0,0,-3813,-26883] 2 6150bd2 [1,0,0,-35063,2504367] 2
6150be (1 curve)	0	2- 3- 5- 41+	2- 3- 5- -2  1 -6  7  2
Curve Equation t 6150be1 [1,0,0,-38,-108] 1
6150bf (2 curves)	1	2- 3- 5- 41-	2- 3- 5-  0  0 -6  0 -6
Curve Equation t Generators 6150bf1 [1,0,0,5927,279737] 2 [2:539:1] 6150bf2 [1,0,0,-45273,2993337] 2 [906:26115:1]
6150bg (1 curve)	1	2- 3- 5- 41-	2- 3- 5-  1 -4 -3 -6 -2
Curve Equation t Generators 6150bg1 [1,0,0,107112,6691392] 1 [-48:1224:1]
6150bh (1 curve)	1	2- 3- 5- 41-	2- 3- 5- -1 -4  2 -8  1
Curve Equation t Generators 6150bh1 [1,0,0,-2068,36752] 1 [32:-76:1]
6150bi (1 curve)	1	2- 3- 5- 41-	2- 3- 5- -3  2 -1  0 -6
Curve Equation t Generators 6150bi1 [1,0,0,-788,8592] 1 [-8:124:1]
6150bj (2 curves)	1	2- 3- 5- 41-	2- 3- 5- -4 -4  2  4 -2
Curve Equation t Generators 6150bj1 [1,0,0,237,-483] 2 [1672:8443:512] 6150bj2 [1,0,0,-1013,-4233] 2 [294:591:8]

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