Cremona's table of elliptic curves

27450 = 2 · 3² · 5² · 61

Class	r	Atkin-Lehner	Eigenvalues
27450a (1 curve)	1	2+ 3+ 5+ 61+	2+ 3+ 5+  1  0  3 -4 -8
Curve Equation t Generators 27450a1 [1,-1,0,-7167,281741] 1 [29:-327:1]
27450b (2 curves)	1	2+ 3+ 5+ 61+	2+ 3+ 5+  4  0  0  2  4
Curve Equation t Generators 27450b1 [1,-1,0,-3042,-64384] 2 [70:214:1] 27450b2 [1,-1,0,-48792,-4136134] 2 [1595:62241:1]
27450c (1 curve)	1	2+ 3+ 5+ 61+	2+ 3+ 5+ -4  6  6 -3 -6
Curve Equation t Generators 27450c1 [1,-1,0,-192,-1034] 1 [23:68:1]
27450d (1 curve)	0	2+ 3+ 5+ 61-	2+ 3+ 5+  0 -2  2  1  2
Curve Equation t 27450d1 [1,-1,0,783,6941] 1
27450e (1 curve)	0	2+ 3+ 5+ 61-	2+ 3+ 5+  3  4 -1  4 -4
Curve Equation t 27450e1 [1,-1,0,1710933,319902341] 1
27450f (1 curve)	2	2+ 3+ 5+ 61-	2+ 3+ 5+ -3  0 -3  0 -4
Curve Equation t Generators 27450f1 [1,-1,0,-23667,1407491] 1 [109:-392:1]&[-161:1093:1]
27450g (1 curve)	0	2+ 3+ 5- 61+	2+ 3+ 5-  1  2  1 -2 -8
Curve Equation t 27450g1 [1,-1,0,633,-208459] 1
27450h (1 curve)	2	2+ 3+ 5- 61+	2+ 3+ 5- -1 -2 -1 -2 -8
Curve Equation t Generators 27450h1 [1,-1,0,3,61] 1 [-1:-7:1]&[-18:59:8]
27450i (2 curves)	0	2+ 3+ 5- 61+	2+ 3+ 5-  4  4  4  2  4
Curve Equation t 27450i1 [1,-1,0,843,5301] 2 27450i2 [1,-1,0,-3957,48501] 2
27450j (2 curves)	0	2+ 3+ 5- 61+	2+ 3+ 5- -4 -4 -4  2  4
Curve Equation t 27450j1 [1,-1,0,189633,-18649459] 2 27450j2 [1,-1,0,-890367,-160129459] 2
27450k (1 curve)	0	2+ 3- 5+ 61+	2+ 3- 5+  1 -6  6  8  4
Curve Equation t 27450k1 [1,-1,0,3,71] 1
27450l (1 curve)	0	2+ 3- 5+ 61+	2+ 3- 5+ -1 -2 -5  6 -6
Curve Equation t 27450l1 [1,-1,0,-538317,-152485659] 1
27450m (2 curves)	0	2+ 3- 5+ 61+	2+ 3- 5+  2 -2  2 -6 -4
Curve Equation t 27450m1 [1,-1,0,-21942,-16614284] 2 27450m2 [1,-1,0,-1119942,-452520284] 2
27450n (1 curve)	0	2+ 3- 5+ 61+	2+ 3- 5+  2  4  1  3 -3
Curve Equation t 27450n1 [1,-1,0,-313317,83656341] 1
27450o (1 curve)	0	2+ 3- 5+ 61+	2+ 3- 5+  2  4  5  3  5
Curve Equation t 27450o1 [1,-1,0,7308,-182534] 1
27450p (1 curve)	0	2+ 3- 5+ 61+	2+ 3- 5+  2 -6  0  3  0
Curve Equation t 27450p1 [1,-1,0,-205317,36176341] 1
27450q (1 curve)	0	2+ 3- 5+ 61+	2+ 3- 5+ -2  3  0 -7  1
Curve Equation t 27450q1 [1,-1,0,-169557,27004661] 1
27450r (1 curve)	0	2+ 3- 5+ 61+	2+ 3- 5+  5  3  3  0  0
Curve Equation t 27450r1 [1,-1,0,558,-284] 1
27450s (1 curve)	1	2+ 3- 5+ 61-	2+ 3- 5+  0 -2 -1  7 -1
Curve Equation t Generators 27450s1 [1,-1,0,-7917,284741] 1 [49:-137:1]
27450t (4 curves)	1	2+ 3- 5+ 61-	2+ 3- 5+  0  4  2 -2 -4
Curve Equation t Generators 27450t1 [1,-1,0,-36942,-2714284] 2 [1820:76266:1] 27450t2 [1,-1,0,-54942,219716] 4 [-221:1348:1] 27450t3 [1,-1,0,219558,1592216] 2 [23:2568:1] 27450t4 [1,-1,0,-617442,186407216] 2 [610:5734:1]
27450u (2 curves)	1	2+ 3- 5+ 61-	2+ 3- 5+  1  3  1 -6 -4
Curve Equation t Generators 27450u1 [1,-1,0,-1017,-69359] 1 [50:29:1] 27450u2 [1,-1,0,9108,1824016] 1 [248:4268:1]
27450v (2 curves)	1	2+ 3- 5+ 61-	2+ 3- 5+ -2  0  7  3 -7
Curve Equation t Generators 27450v1 [1,-1,0,-147042,-21666884] 1 [86542:8951779:8] 27450v2 [1,-1,0,-15417,-58714259] 1 [4462:80119:8]
27450w (4 curves)	1	2+ 3- 5+ 61-	2+ 3- 5+ -4  4  2  6  4
Curve Equation t Generators 27450w1 [1,-1,0,-342,35316] 2 [-20:194:1] 27450w2 [1,-1,0,-18342,953316] 4 [-96:1398:1] 27450w3 [1,-1,0,-31842,-626184] 2 [214:1418:1] 27450w4 [1,-1,0,-292842,61068816] 2 [279:873:1]
27450x (2 curves)	1	2+ 3- 5- 61+	2+ 3- 5-  0  2  4 -2  0
Curve Equation t Generators 27450x1 [1,-1,0,-3672,-54464] 2 [-218:1369:8] 27450x2 [1,-1,0,10728,-385664] 2 [48:464:1]
27450y (1 curve)	1	2+ 3- 5- 61+	2+ 3- 5- -2 -2 -5 -7  1
Curve Equation t Generators 27450y1 [1,-1,0,18,-324] 1 [9:18:1]
27450z (1 curve)	1	2+ 3- 5- 61+	2+ 3- 5-  3 -4  5  8 -6
Curve Equation t Generators 27450z1 [1,-1,0,-246492,47374416] 1 [319:903:1]
27450ba (2 curves)	1	2+ 3- 5- 61+	2+ 3- 5- -4  4  2 -2  4
Curve Equation t Generators 27450ba1 [1,-1,0,-182367,-30281459] 2 [369126:1744937:729] 27450ba2 [1,-1,0,-2927367,-1927076459] 2 [32787027:-6964501789:729]
27450bb (2 curves)	1	2+ 3- 5- 61+	2+ 3- 5- -4  4 -4 -2  4
Curve Equation t Generators 27450bb1 [1,-1,0,-61497,5866861] 2 [119:413:1] 27450bb2 [1,-1,0,-983097,375428461] 2 [674:3983:1]
27450bc (1 curve)	0	2+ 3- 5- 61-	2+ 3- 5-  1  4 -3 -4 -6
Curve Equation t 27450bc1 [1,-1,0,-878742,1857980916] 1
27450bd (1 curve)	0	2- 3+ 5+ 61+	2- 3+ 5+  1  0  3  4 -8
Curve Equation t 27450bd1 [1,-1,1,-64505,-7542503] 1
27450be (2 curves)	0	2- 3+ 5+ 61+	2- 3+ 5+  4  0  0 -2  4
Curve Equation t 27450be1 [1,-1,1,-27380,1765747] 2 27450be2 [1,-1,1,-439130,112114747] 2
27450bf (1 curve)	0	2- 3+ 5+ 61+	2- 3+ 5+ -4 -6  6  3 -6
Curve Equation t 27450bf1 [1,-1,1,-1730,29647] 1
27450bg (1 curve)	1	2- 3+ 5+ 61-	2- 3+ 5+  0  2  2 -1  2
Curve Equation t Generators 27450bg1 [1,-1,1,7045,-194453] 1 [43:410:1]
27450bh (1 curve)	1	2- 3+ 5+ 61-	2- 3+ 5+  3 -4 -1 -4 -4
Curve Equation t Generators 27450bh1 [1,-1,1,15398395,-8652761603] 1 [2879:-245440:1]
27450bi (1 curve)	1	2- 3+ 5+ 61-	2- 3+ 5+ -3  0 -3  0 -4
Curve Equation t Generators 27450bi1 [1,-1,1,-2630,-51253] 1 [510:1283:8]
27450bj (1 curve)	1	2- 3+ 5- 61+	2- 3+ 5-  1 -2  1  2 -8
Curve Equation t Generators 27450bj1 [1,-1,1,70,7697] 1 [19:115:1]
27450bk (1 curve)	1	2- 3+ 5- 61+	2- 3+ 5- -1  2 -1  2 -8
Curve Equation t Generators 27450bk1 [1,-1,1,25,-1673] 1 [13:20:1]
27450bl (2 curves)	1	2- 3+ 5- 61+	2- 3+ 5-  4 -4  4 -2  4
Curve Equation t Generators 27450bl1 [1,-1,1,7585,-150713] 2 [29:290:1] 27450bl2 [1,-1,1,-35615,-1273913] 2 [-71:980:1]
27450bm (2 curves)	1	2- 3+ 5- 61+	2- 3+ 5- -4  4 -4 -2  4
Curve Equation t Generators 27450bm1 [1,-1,1,21070,683697] 2 [-7:735:1] 27450bm2 [1,-1,1,-98930,5963697] 2 [-31:3015:1]
27450bn (1 curve)	1	2- 3- 5+ 61+	2- 3- 5+ -2 -2 -4  1  4
Curve Equation t Generators 27450bn1 [1,-1,1,-1596605,777115397] 1 [585:6268:1]
27450bo (2 curves)	1	2- 3- 5+ 61+	2- 3- 5+ -2 -2  6  6  4
Curve Equation t Generators 27450bo1 [1,-1,1,25645,-3501853] 2 [249:4150:1] 27450bo2 [1,-1,1,-248855,-41382853] 2 [615:5848:1]
27450bp (1 curve)	1	2- 3- 5+ 61+	2- 3- 5+  4  2 -1 -3 -5
Curve Equation t Generators 27450bp1 [1,-1,1,4270,-269103] 1 [89:-945:1]
27450bq (6 curves)	0	2- 3- 5+ 61-	2- 3- 5+  0  4  2  2  4
Curve Equation t 27450bq1 [1,-1,1,1625620,12544891247] 4 27450bq2 [1,-1,1,-72102380,228420475247] 4 27450bq3 [1,-1,1,-180102380,-616571524753] 2 27450bq4 [1,-1,1,-1143750380,14888565115247] 4 27450bq5 [1,-1,1,-1133868380,15158462299247] 2 27450bq6 [1,-1,1,-18300000380,952855065115247] 2
27450br (2 curves)	0	2- 3- 5+ 61-	2- 3- 5+  0  6 -6  6 -4
Curve Equation t 27450br1 [1,-1,1,-1130,9497] 2 27450br2 [1,-1,1,3370,63497] 2
27450bs (1 curve)	0	2- 3- 5+ 61-	2- 3- 5+  0 -6 -3 -3 -1
Curve Equation t 27450bs1 [1,-1,1,-5630,-2926753] 1
27450bt (1 curve)	0	2- 3- 5+ 61-	2- 3- 5+ -1  1  5  2  0
Curve Equation t 27450bt1 [1,-1,1,-46130,3824997] 1
27450bu (2 curves)	0	2- 3- 5+ 61-	2- 3- 5+  2 -2 -4 -7  0
Curve Equation t 27450bu1 [1,-1,1,-1130,-112503] 1 27450bu2 [1,-1,1,-115880,19111497] 1
27450bv (1 curve)	0	2- 3- 5+ 61-	2- 3- 5+  3  1  5  2 -8
Curve Equation t 27450bv1 [1,-1,1,-7205,-263203] 1
27450bw (1 curve)	0	2- 3- 5+ 61-	2- 3- 5+ -3 -2 -1  2 -2
Curve Equation t 27450bw1 [1,-1,1,-5630,353747] 1
27450bx (1 curve)	0	2- 3- 5+ 61-	2- 3- 5+  4  6  5 -3 -5
Curve Equation t 27450bx1 [1,-1,1,-1969880,-1183817253] 1
27450by (2 curves)	2	2- 3- 5+ 61-	2- 3- 5+ -5 -6  1 -6  2
Curve Equation t Generators 27450by1 [1,-1,1,7645,210147] 1 [29:660:1]&[-21:210:1] 27450by2 [1,-1,1,-181355,30072147] 1 [1709:67770:1]&[-475:3216:1]
27450bz (2 curves)	0	2- 3- 5- 61+	2- 3- 5-  0  2 -4  2  0
Curve Equation t 27450bz1 [1,-1,1,-91805,-6899803] 2 27450bz2 [1,-1,1,268195,-47939803] 2
27450ca (1 curve)	0	2- 3- 5- 61+	2- 3- 5- -1 -6 -6 -8  4
Curve Equation t 27450ca1 [1,-1,1,70,8947] 1
27450cb (1 curve)	0	2- 3- 5- 61+	2- 3- 5-  2 -2  5  7  1
Curve Equation t 27450cb1 [1,-1,1,445,-40053] 1
27450cc (1 curve)	0	2- 3- 5- 61+	2- 3- 5-  2  3  0  7  1
Curve Equation t 27450cc1 [1,-1,1,-4238930,3371343697] 1
27450cd (1 curve)	2	2- 3- 5- 61+	2- 3- 5- -3 -4 -5 -8 -6
Curve Equation t Generators 27450cd1 [1,-1,1,-9860,380967] 1 [-91:765:1]&[59:15:1]
27450ce (2 curves)	0	2- 3- 5- 61+	2- 3- 5-  4  4 -2  2  4
Curve Equation t 27450ce1 [1,-1,1,-7295,-240793] 2 27450ce2 [1,-1,1,-117095,-15393193] 2
27450cf (2 curves)	0	2- 3- 5- 61+	2- 3- 5-  4  4  4  2  4
Curve Equation t 27450cf1 [1,-1,1,-1537430,731820197] 2 27450cf2 [1,-1,1,-24577430,46903980197] 2
27450cg (1 curve)	1	2- 3- 5- 61-	2- 3- 5- -1  4  3  4 -6
Curve Equation t Generators 27450cg1 [1,-1,1,-35150,14870877] 1 [965:29163:1]

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