Cremona's table of elliptic curves

21150 = 2 · 3² · 5² · 47

Class	r	Atkin-Lehner	Eigenvalues
21150a (2 curves)	1	2+ 3+ 5+ 47+	2+ 3+ 5+  2 -2 -4  2  4
Curve Equation t Generators 21150a1 [1,-1,0,-110442,-14102784] 2 [399:2088:1] 21150a2 [1,-1,0,-1767192,-903777534] 2 [22489:3355193:1]
21150b (2 curves)	1	2+ 3+ 5+ 47+	2+ 3+ 5+  2  4  2  2 -8
Curve Equation t Generators 21150b1 [1,-1,0,-3567,55341] 2 [-41:383:1] 21150b2 [1,-1,0,-51567,4519341] 2 [-161:3018:1]
21150c (2 curves)	1	2+ 3+ 5+ 47+	2+ 3+ 5+ -2  0  2  2 -4
Curve Equation t Generators 21150c1 [1,-1,0,-417,3241] 2 [-16:83:1] 21150c2 [1,-1,0,-1167,-11009] 2 [-21:73:1]
21150d (1 curve)	1	2+ 3+ 5+ 47+	2+ 3+ 5+ -3 -2  1  7 -1
Curve Equation t Generators 21150d1 [1,-1,0,-66192,27305216] 1 [928:27184:1]
21150e (2 curves)	0	2+ 3+ 5+ 47-	2+ 3+ 5+  0 -4  4  2  4
Curve Equation t 21150e1 [1,-1,0,-40542,3618116] 2 21150e2 [1,-1,0,-675042,213637616] 2
21150f (1 curve)	0	2+ 3+ 5+ 47-	2+ 3+ 5+  1  2  5  0 -4
Curve Equation t 21150f1 [1,-1,0,-1992,16416] 1
21150g (2 curves)	2	2+ 3+ 5+ 47-	2+ 3+ 5+  1 -6 -5  3 -7
Curve Equation t Generators 21150g1 [1,-1,0,-5667,166741] 1 [-66:533:1]&[14:293:1] 21150g2 [1,-1,0,16833,874241] 1 [1309:46933:1]&[-16:783:1]
21150h (2 curves)	0	2+ 3+ 5+ 47-	2+ 3+ 5+ -2  2 -4 -6 -4
Curve Equation t 21150h1 [1,-1,0,25015308,-65047220784] 2 21150h2 [1,-1,0,-171592692,-666077876784] 2
21150i (1 curve)	0	2+ 3+ 5+ 47-	2+ 3+ 5+  3  2  1 -1  1
Curve Equation t 21150i1 [1,-1,0,1308,16167716] 1
21150j (4 curves)	0	2+ 3+ 5+ 47-	2+ 3+ 5+  4  0  4 -6 -4
Curve Equation t 21150j1 [1,-1,0,-1761042,-8455155884] 2 21150j2 [1,-1,0,-73953042,-243295731884] 2 21150j3 [1,-1,0,-373761042,-2781195155884] 2 21150j4 [1,-1,0,-5980203042,-177999326981884] 2
21150k (1 curve)	1	2+ 3+ 5- 47-	2+ 3+ 5- -1 -2 -5  0 -4
Curve Equation t Generators 21150k1 [1,-1,0,-717,-3259] 1 [-5:16:1]
21150l (2 curves)	0	2+ 3- 5+ 47+	2+ 3- 5+  1  0  1  0 -4
Curve Equation t 21150l1 [1,-1,0,-8487,185611] 1 21150l2 [1,-1,0,-609912,183489016] 1
21150m (1 curve)	0	2+ 3- 5+ 47+	2+ 3- 5+  1  0 -7 -4 -4
Curve Equation t 21150m1 [1,-1,0,-5175117,4532349541] 1
21150n (1 curve)	0	2+ 3- 5+ 47+	2+ 3- 5+  1 -2  5  7  3
Curve Equation t 21150n1 [1,-1,0,-94224042,352148032116] 1
21150o (1 curve)	0	2+ 3- 5+ 47+	2+ 3- 5+  1  3  5  2 -7
Curve Equation t 21150o1 [1,-1,0,-9792,-368384] 1
21150p (2 curves)	0	2+ 3- 5+ 47+	2+ 3- 5+  1 -3 -5  6 -1
Curve Equation t 21150p1 [1,-1,0,-1298817,-569406659] 1 21150p2 [1,-1,0,-1428192,-449014784] 1
21150q (1 curve)	0	2+ 3- 5+ 47+	2+ 3- 5+  2  5  6  0  4
Curve Equation t 21150q1 [1,-1,0,-8172,286416] 1
21150r (1 curve)	0	2+ 3- 5+ 47+	2+ 3- 5+  2 -5  2 -4  4
Curve Equation t 21150r1 [1,-1,0,-11367,944541] 1
21150s (2 curves)	0	2+ 3- 5+ 47+	2+ 3- 5+ -2 -6  2  2 -4
Curve Equation t 21150s1 [1,-1,0,282708,40977616] 2 21150s2 [1,-1,0,-1409292,364149616] 2
21150t (1 curve)	0	2+ 3- 5+ 47+	2+ 3- 5+  3  6 -1  3  3
Curve Equation t 21150t1 [1,-1,0,-27567,-11766659] 1
21150u (1 curve)	0	2+ 3- 5+ 47+	2+ 3- 5+ -3  0  5  6  0
Curve Equation t 21150u1 [1,-1,0,-1062,-11084] 1
21150v (2 curves)	0	2+ 3- 5+ 47+	2+ 3- 5+  4 -2 -4 -2  0
Curve Equation t 21150v1 [1,-1,0,3708,-102384] 2 21150v2 [1,-1,0,-23292,-993384] 2
21150w (2 curves)	0	2+ 3- 5+ 47+	2+ 3- 5+ -4  2  0  6  4
Curve Equation t 21150w1 [1,-1,0,-30942,3429216] 2 21150w2 [1,-1,0,-577692,169094466] 2
21150x (1 curve)	0	2+ 3- 5+ 47+	2+ 3- 5+ -4 -5 -4  5  1
Curve Equation t 21150x1 [1,-1,0,-6912,-221184] 1
21150y (2 curves)	1	2+ 3- 5+ 47-	2+ 3- 5+  1  0 -5  6  8
Curve Equation t Generators 21150y1 [1,-1,0,-68382,6696436] 1 [113:578:1] 21150y2 [1,-1,0,-5493357,4957071781] 1 [86612:-42793:64]
21150z (1 curve)	1	2+ 3- 5+ 47-	2+ 3- 5+  1 -1  5  0  5
Curve Equation t Generators 21150z1 [1,-1,0,-21942,-1079784] 1 [364:6068:1]
21150ba (1 curve)	1	2+ 3- 5+ 47-	2+ 3- 5+  1  2 -1  3 -7
Curve Equation t Generators 21150ba1 [1,-1,0,1683,-205659] 1 [234:3483:1]
21150bb (1 curve)	1	2+ 3- 5+ 47-	2+ 3- 5+  4 -1 -4 -3  5
Curve Equation t Generators 21150bb1 [1,-1,0,108,-54] 1 [14:87:8]
21150bc (2 curves)	1	2+ 3- 5- 47+	2+ 3- 5-  0  0  2  2  2
Curve Equation t Generators 21150bc1 [1,-1,0,-23742,960916] 2 [620:14666:1] 21150bc2 [1,-1,0,66258,6450916] 2 [-52:1718:1]
21150bd (2 curves)	1	2+ 3- 5- 47+	2+ 3- 5-  0  0 -2  2 -4
Curve Equation t Generators 21150bd1 [1,-1,0,-69867,7343541] 2 [69:1653:1] 21150bd2 [1,-1,0,-1127367,461011041] 2 [519:3678:1]
21150be (2 curves)	1	2+ 3- 5- 47+	2+ 3- 5-  3  3 -1  2  5
Curve Equation t Generators 21150be1 [1,-1,0,-34902,2518456] 1 [108:-52:1] 21150be2 [1,-1,0,-80127,-5144819] 1 [-162:1969:1]
21150bf (1 curve)	1	2+ 3- 5- 47+	2+ 3- 5-  3 -4 -1 -2  8
Curve Equation t Generators 21150bf1 [1,-1,0,-1692,27166] 1 [23:-7:1]
21150bg (1 curve)	1	2+ 3- 5- 47+	2+ 3- 5-  3  5  1 -6 -5
Curve Equation t Generators 21150bg1 [1,-1,0,-1617,3041] 1 [44:103:1]
21150bh (1 curve)	1	2+ 3- 5- 47+	2+ 3- 5- -3  0  1  5 -1
Curve Equation t Generators 21150bh1 [1,-1,0,-68472,-7107264] 1 [304:168:1]
21150bi (1 curve)	0	2+ 3- 5- 47-	2+ 3- 5- -1  4  1  2  0
Curve Equation t 21150bi1 [1,-1,0,-11367,399541] 1
21150bj (1 curve)	2	2+ 3- 5- 47-	2+ 3- 5- -5  0 -3 -7  5
Curve Equation t Generators 21150bj1 [1,-1,0,-72,436] 1 [-6:28:1]&[-1:23:1]
21150bk (2 curves)	0	2- 3+ 5+ 47+	2- 3+ 5+  0  4  4 -2  4
Curve Equation t 21150bk1 [1,-1,1,-4505,-132503] 2 21150bk2 [1,-1,1,-75005,-7887503] 2
21150bl (1 curve)	0	2- 3+ 5+ 47+	2- 3+ 5+  1 -2  5  0 -4
Curve Equation t 21150bl1 [1,-1,1,-17930,-425303] 1
21150bm (2 curves)	0	2- 3+ 5+ 47+	2- 3+ 5+  1  6 -5 -3 -7
Curve Equation t 21150bm1 [1,-1,1,1870,-33003] 1 21150bm2 [1,-1,1,-51005,-4451003] 1
21150bn (2 curves)	0	2- 3+ 5+ 47+	2- 3+ 5+ -2 -2 -4  6 -4
Curve Equation t 21150bn1 [1,-1,1,225137770,1756049823397] 2 21150bn2 [1,-1,1,-1544334230,17985647007397] 2
21150bo (1 curve)	0	2- 3+ 5+ 47+	2- 3+ 5+  3 -2  1  1  1
Curve Equation t 21150bo1 [1,-1,1,145,-598853] 1
21150bp (4 curves)	0	2- 3+ 5+ 47+	2- 3+ 5+  4  0  4  6 -4
Curve Equation t 21150bp1 [1,-1,1,-41529005,103021070997] 2 21150bp2 [1,-1,1,-664467005,6592789154997] 2 21150bp3 [1,-1,1,-15849380,228305058247] 2 21150bp4 [1,-1,1,-665577380,6569650338247] 2
21150bq (2 curves)	1	2- 3+ 5+ 47-	2- 3+ 5+  2  2 -4 -2  4
Curve Equation t Generators 21150bq1 [1,-1,1,-993980,381769147] 2 [353:8471:1] 21150bq2 [1,-1,1,-15904730,24417898147] 2 [149492:101425:64]
21150br (2 curves)	1	2- 3+ 5+ 47-	2- 3+ 5+  2 -4  2 -2 -8
Curve Equation t Generators 21150br1 [1,-1,1,-32105,-1462103] 2 [-121:860:1] 21150br2 [1,-1,1,-464105,-121558103] 2 [-391:320:1]
21150bs (2 curves)	1	2- 3+ 5+ 47-	2- 3+ 5+ -2  0  2 -2 -4
Curve Equation t Generators 21150bs1 [1,-1,1,-3755,-83753] 2 [12155:78964:125] 21150bs2 [1,-1,1,-10505,307747] 2 [-418:6955:8]
21150bt (1 curve)	1	2- 3+ 5+ 47-	2- 3+ 5+ -3  2  1 -7 -1
Curve Equation t Generators 21150bt1 [1,-1,1,-7355,-1008853] 1 [459:-9830:1]
21150bu (1 curve)	1	2- 3+ 5- 47+	2- 3+ 5- -1  2 -5  0 -4
Curve Equation t Generators 21150bu1 [1,-1,1,-80,147] 1 [-1:15:1]
21150bv (4 curves)	1	2- 3- 5+ 47+	2- 3- 5+  0  0 -2  2  0
Curve Equation t Generators 21150bv1 [1,-1,1,13045,283547] 2 [75:1258:1] 21150bv2 [1,-1,1,-58955,2443547] 4 [-251:1300:1] 21150bv3 [1,-1,1,-481955,-126994453] 2 [-431:940:1] 21150bv4 [1,-1,1,-787955,269257547] 2 [525:16:1]
21150bw (2 curves)	1	2- 3- 5+ 47+	2- 3- 5+  0 -2  4 -2 -2
Curve Equation t Generators 21150bw1 [1,-1,1,70,2197] 2 [13:65:1] 21150bw2 [1,-1,1,-2180,38197] 2 [254:-5:8]
21150bx (1 curve)	1	2- 3- 5+ 47+	2- 3- 5+  1  4 -1 -2  0
Curve Equation t Generators 21150bx1 [1,-1,1,-455,3287] 1 [-15:88:1]
21150by (2 curves)	1	2- 3- 5+ 47+	2- 3- 5+ -2 -2  2 -2  0
Curve Equation t Generators 21150by1 [1,-1,1,-1804730,933755897] 2 [849:-4025:1] 21150by2 [1,-1,1,-28876730,59734139897] 2 [3009:7495:1]
21150bz (1 curve)	1	2- 3- 5+ 47+	2- 3- 5+  3  1  1 -8 -5
Curve Equation t Generators 21150bz1 [1,-1,1,-26255,-371753] 1 [-61:1030:1]
21150ca (4 curves)	1	2- 3- 5+ 47+	2- 3- 5+ -4  4 -2  2  8
Curve Equation t Generators 21150ca1 [1,-1,1,-3605,82397] 4 [-41:420:1] 21150ca2 [1,-1,1,-8105,-160603] 4 [195:2278:1] 21150ca3 [1,-1,1,25645,-1173103] 2 [1310:21099:8] 21150ca4 [1,-1,1,-113855,-14754103] 2 [26580:183589:64]
21150cb (1 curve)	1	2- 3- 5+ 47+	2- 3- 5+  5 -2 -5  5 -7
Curve Equation t Generators 21150cb1 [1,-1,1,-10529105,-16026429103] 1 [31929:5658310:1]
21150cc (2 curves)	1	2- 3- 5+ 47+	2- 3- 5+ -5  3 -5  0 -7
Curve Equation t Generators 21150cc1 [1,-1,1,-8105,-278103] 1 [-51:50:1] 21150cc2 [1,-1,1,-39605,2808897] 1 [39:1130:1]
21150cd (2 curves)	0	2- 3- 5+ 47-	2- 3- 5+  0  2  4  2 -4
Curve Equation t 21150cd1 [1,-1,1,72895,22802897] 2 21150cd2 [1,-1,1,-899105,296906897] 2
21150ce (1 curve)	0	2- 3- 5+ 47-	2- 3- 5+  3  5  1  2 -1
Curve Equation t 21150ce1 [1,-1,1,-2480,-45853] 1
21150cf (1 curve)	0	2- 3- 5+ 47-	2- 3- 5+ -3 -4  1  2  8
Curve Equation t 21150cf1 [1,-1,1,-42305,3353447] 1
21150cg (2 curves)	0	2- 3- 5+ 47-	2- 3- 5+  4  0  2 -6  6
Curve Equation t 21150cg1 [1,-1,1,-3380,-91753] 2 21150cg2 [1,-1,1,-57380,-5275753] 2
21150ch (2 curves)	0	2- 3- 5- 47+	2- 3- 5- -1  0  5 -6  8
Curve Equation t 21150ch1 [1,-1,1,-1709555,835344947] 1 21150ch2 [1,-1,1,-137333930,619496638697] 3
21150ci (1 curve)	0	2- 3- 5- 47+	2- 3- 5- -4 -1  4  3  5
Curve Equation t 21150ci1 [1,-1,1,2695,-4053] 1
21150cj (1 curve)	0	2- 3- 5- 47+	2- 3- 5-  5  0  3  7  5
Curve Equation t 21150cj1 [1,-1,1,-1805,52697] 1
21150ck (2 curves)	1	2- 3- 5- 47-	2- 3- 5-  0  0  2 -2 -4
Curve Equation t Generators 21150ck1 [1,-1,1,-2795,59307] 2 [29:30:1] 21150ck2 [1,-1,1,-45095,3697107] 2 [-181:2520:1]
21150cl (2 curves)	1	2- 3- 5- 47-	2- 3- 5-  0  0 -2 -2  2
Curve Equation t Generators 21150cl1 [1,-1,1,-950,7877] 2 [-21:145:1] 21150cl2 [1,-1,1,2650,51077] 2 [3:241:1]
21150cm (2 curves)	1	2- 3- 5- 47-	2- 3- 5- -1  0 -1  0 -4
Curve Equation t Generators 21150cm1 [1,-1,1,-212180,22989197] 1 [790020:13438139:8000] 21150cm2 [1,-1,1,-15247805,22920879197] 3 [1269:74290:1]
21150cn (1 curve)	1	2- 3- 5- 47-	2- 3- 5- -1  0  7  4 -4
Curve Equation t Generators 21150cn1 [1,-1,1,-207005,36300197] 1 [255:88:1]
21150co (1 curve)	1	2- 3- 5- 47-	2- 3- 5- -2  5 -6  0  4
Curve Equation t Generators 21150co1 [1,-1,1,-204305,35597697] 1 [119:3540:1]
21150cp (1 curve)	1	2- 3- 5- 47-	2- 3- 5- -2 -5 -2  4  4
Curve Equation t Generators 21150cp1 [1,-1,1,-455,7647] 1 [29:-150:1]
21150cq (1 curve)	1	2- 3- 5- 47-	2- 3- 5-  3  0 -1 -5 -1
Curve Equation t Generators 21150cq1 [1,-1,1,-1711805,-890119803] 1 [3419:180540:1]
21150cr (1 curve)	1	2- 3- 5- 47-	2- 3- 5-  3  0 -5 -6  0
Curve Equation t Generators 21150cr1 [1,-1,1,-26555,-1412053] 1 [-81:490:1]
21150cs (2 curves)	1	2- 3- 5- 47-	2- 3- 5- -3  3  1 -2  5
Curve Equation t Generators 21150cs1 [1,-1,1,-872555,313934447] 1 [34516:-16665:64] 21150cs2 [1,-1,1,-2003180,-645105553] 1 [-431:11965:1]
21150ct (1 curve)	1	2- 3- 5- 47-	2- 3- 5- -3  5 -1  6 -5
Curve Equation t Generators 21150ct1 [1,-1,1,-65,37] 1 [-1:10:1]
21150cu (1 curve)	1	2- 3- 5- 47-	2- 3- 5-  4 -5  4 -5  1
Curve Equation t Generators 21150cu1 [1,-1,1,-172805,-27820803] 1 [519:4440:1]

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