Cremona's table of elliptic curves

26775 = 3² · 5² · 7 · 17

Class	r	Atkin-Lehner	Eigenvalues
26775a (1 curve)	1	3+ 5+ 7+ 17+	-1 3+ 5+ 7+  0  2 17+ -3
Curve Equation t Generators 26775a1 [1,-1,1,10,2] 1 [0:1:1]
26775b (1 curve)	0	3+ 5+ 7+ 17-	1 3+ 5+ 7+  0  2 17- -3
Curve Equation t 26775b1 [1,-1,0,93,-154] 1
26775c (2 curves)	0	3+ 5+ 7- 17+	1 3+ 5+ 7-  0  0 17+  4
Curve Equation t 26775c1 [1,-1,0,-42,-2009] 2 26775c2 [1,-1,0,-2667,-51884] 2
26775d (1 curve)	0	3+ 5+ 7- 17+	1 3+ 5+ 7-  0  6 17+ -5
Curve Equation t 26775d1 [1,-1,0,-23007,1348966] 1
26775e (1 curve)	0	3+ 5+ 7- 17+	2 3+ 5+ 7-  5  4 17+  0
Curve Equation t 26775e1 [0,0,1,-405,-1789] 1
26775f (1 curve)	0	3+ 5+ 7- 17+	-2 3+ 5+ 7- -3  0 17+  4
Curve Equation t 26775f1 [0,0,1,-10389375,-12725052344] 1
26775g (2 curves)	1	3+ 5+ 7- 17-	-1 3+ 5+ 7-  0  0 17-  4
Curve Equation t Generators 26775g1 [1,-1,1,-380,54622] 2 [-16:245:1] 26775g2 [1,-1,1,-24005,1424872] 2 [-86:1730:1]
26775h (1 curve)	1	3+ 5+ 7- 17-	-1 3+ 5+ 7-  0  6 17- -5
Curve Equation t Generators 26775h1 [1,-1,1,-207065,-36215018] 1 [1138:34085:1]
26775i (1 curve)	1	3+ 5+ 7- 17-	2 3+ 5+ 7-  3  0 17-  4
Curve Equation t Generators 26775i1 [0,0,1,-93504375,343576413281] 1 [-33198:6499895:8]
26775j (1 curve)	1	3+ 5+ 7- 17-	-2 3+ 5+ 7- -5  4 17-  0
Curve Equation t Generators 26775j1 [0,0,1,-45,66] 1 [-1:-11:1]
26775k (1 curve)	0	3+ 5- 7+ 17+	1 3+ 5- 7+  0 -6 17+ -5
Curve Equation t 26775k1 [1,-1,0,-5176617,-4532053834] 1
26775l (1 curve)	0	3+ 5- 7+ 17+	2 3+ 5- 7+ -5 -4 17+  0
Curve Equation t 26775l1 [0,0,1,-1125,8281] 1
26775m (1 curve)	0	3+ 5- 7+ 17+	-2 3+ 5- 7+  3  0 17+  4
Curve Equation t 26775m1 [0,0,1,-3740175,2748611306] 1
26775n (1 curve)	1	3+ 5- 7+ 17-	-1 3+ 5- 7+  0 -6 17- -5
Curve Equation t Generators 26775n1 [1,-1,1,-575180,168045572] 1 [450:208:1]
26775o (1 curve)	1	3+ 5- 7+ 17-	2 3+ 5- 7+ -3  0 17-  4
Curve Equation t Generators 26775o1 [0,0,1,-415575,-101800419] 1 [-24604:68461:64]
26775p (1 curve)	1	3+ 5- 7+ 17-	-2 3+ 5- 7+  5 -4 17-  0
Curve Equation t Generators 26775p1 [0,0,1,-10125,-223594] 1 [-75:337:1]
26775q (1 curve)	1	3+ 5- 7- 17+	-1 3+ 5- 7-  0 -2 17+ -3
Curve Equation t Generators 26775q1 [1,-1,1,2320,-16928] 1 [94:965:1]
26775r (1 curve)	0	3+ 5- 7- 17-	1 3+ 5- 7-  0 -2 17- -3
Curve Equation t 26775r1 [1,-1,0,258,541] 1
26775s (2 curves)	0	3- 5+ 7+ 17+	0 3- 5+ 7+ -3 -2 17+  8
Curve Equation t 26775s1 [0,0,1,-30000,-1986719] 1 26775s2 [0,0,1,-198750,32860156] 1
26775t (4 curves)	0	3- 5+ 7+ 17+	1 3- 5+ 7+  0  2 17+ -4
Curve Equation t 26775t1 [1,-1,0,64458,-905009] 2 26775t2 [1,-1,0,-260667,-7082384] 4 26775t3 [1,-1,0,-2651292,1654401991] 2 26775t4 [1,-1,0,-3072042,-2067820259] 2
26775u (2 curves)	0	3- 5+ 7+ 17+	1 3- 5+ 7+  0 -4 17+  2
Curve Equation t 26775u1 [1,-1,0,26085933,130205866216] 2 26775u2 [1,-1,0,-281460942,1609813881841] 2
26775v (4 curves)	0	3- 5+ 7+ 17+	1 3- 5+ 7+  4 -2 17+ -4
Curve Equation t 26775v1 [1,-1,0,7083,302616] 2 26775v2 [1,-1,0,-48042,3113991] 4 26775v3 [1,-1,0,-260667,-48553884] 2 26775v4 [1,-1,0,-717417,234048366] 2
26775w (4 curves)	0	3- 5+ 7+ 17+	-1 3- 5+ 7+  0  2 17+  0
Curve Equation t 26775w1 [1,-1,1,-40730,7200272] 2 26775w2 [1,-1,1,-860855,307366022] 4 26775w3 [1,-1,1,-1073480,144070022] 2 26775w4 [1,-1,1,-13770230,19671428522] 2
26775x (4 curves)	0	3- 5+ 7+ 17+	-1 3- 5+ 7+  0  6 17+  4
Curve Equation t 26775x1 [1,-1,1,3145,-114978] 2 26775x2 [1,-1,1,-24980,-1239978] 4 26775x3 [1,-1,1,-120605,15016272] 2 26775x4 [1,-1,1,-379355,-89833728] 2
26775y (1 curve)	0	3- 5+ 7+ 17+	2 3- 5+ 7+ -3 -4 17+ -6
Curve Equation t 26775y1 [0,0,1,-615,-5859] 1
26775z (1 curve)	0	3- 5+ 7+ 17+	2 3- 5+ 7+ -6 -1 17+ -6
Curve Equation t 26775z1 [0,0,1,97575,31874031] 1
26775ba (1 curve)	0	3- 5+ 7+ 17+	-2 3- 5+ 7+  3 -1 17+ -7
Curve Equation t 26775ba1 [0,0,1,-9525,-419594] 1
26775bb (1 curve)	1	3- 5+ 7+ 17-	0 3- 5+ 7+ -2  5 17-  2
Curve Equation t Generators 26775bb1 [0,0,1,-1070966550,-13492196207469] 1 [20208365:-90843989063:1]
26775bc (1 curve)	1	3- 5+ 7+ 17-	0 3- 5+ 7+  5  5 17- -5
Curve Equation t Generators 26775bc1 [0,0,1,-1200,59031] 1 [29:220:1]
26775bd (2 curves)	1	3- 5+ 7+ 17-	0 3- 5+ 7+  6  1 17-  2
Curve Equation t Generators 26775bd1 [0,0,1,-31800,2840656] 1 [190:-1913:1] 26775bd2 [0,0,1,-2785800,1789670281] 1 [7730:1121:8]
26775be (4 curves)	1	3- 5+ 7+ 17-	1 3- 5+ 7+ -4  2 17-  0
Curve Equation t Generators 26775be1 [1,-1,0,-8442,300591] 2 [462:219:8] 26775be2 [1,-1,0,-9567,216216] 4 [-60:786:1] 26775be3 [1,-1,0,29808,1515591] 2 [-26:863:1] 26775be4 [1,-1,0,-66942,-6496659] 2 [3662:59419:8]
26775bf (6 curves)	1	3- 5+ 7+ 17-	-1 3- 5+ 7+  4  2 17- -4
Curve Equation t Generators 26775bf1 [1,-1,1,-878630,-316778628] 2 [-407582812:204340716:753571] 26775bf2 [1,-1,1,-879755,-315925878] 4 [3654:210885:1] 26775bf3 [1,-1,1,-401630,-658263378] 2 [6056871535:248399611992:2924207] 26775bf4 [1,-1,1,-1375880,80974122] 4 [-1012:21390:1] 26775bf5 [1,-1,1,5451745,640839372] 2 [263:45615:1] 26775bf6 [1,-1,1,-16141505,24916755372] 2 [2424:4100:1]
26775bg (4 curves)	1	3- 5+ 7+ 17-	-1 3- 5+ 7+ -4 -2 17-  8
Curve Equation t Generators 26775bg1 [1,-1,1,-75380,7984622] 4 [160:-54:1] 26775bg2 [1,-1,1,-76505,7734872] 4 [-186:4030:1] 26775bg3 [1,-1,1,57370,31832372] 2 [-101:5050:1] 26775bg4 [1,-1,1,-228380,-32360128] 2 [664:10080:1]
26775bh (1 curve)	1	3- 5+ 7+ 17-	2 3- 5+ 7+  2  1 17-  2
Curve Equation t Generators 26775bh1 [0,0,1,-75,-3969] 1 [2770:51521:8]
26775bi (1 curve)	1	3- 5+ 7+ 17-	-2 3- 5+ 7+ -1 -4 17-  6
Curve Equation t Generators 26775bi1 [0,0,1,-283125,-15352344] 1 [-61:1300:1]
26775bj (2 curves)	1	3- 5+ 7- 17+	1 3- 5+ 7-  0  0 17+  2
Curve Equation t Generators 26775bj1 [1,-1,0,-567,27216] 2 [-18:1359:8] 26775bj2 [1,-1,0,-17442,887841] 2 [64:143:1]
26775bk (4 curves)	1	3- 5+ 7- 17+	1 3- 5+ 7-  0 -6 17+  4
Curve Equation t Generators 26775bk1 [1,-1,0,9333,3798616] 2 [120:2516:1] 26775bk2 [1,-1,0,-315792,65897491] 4 [54:6973:1] 26775bk3 [1,-1,0,-832167,-204166634] 2 [-490:9506:1] 26775bk4 [1,-1,0,-5001417,4306388116] 2 [11142:45529:8]
26775bl (1 curve)	1	3- 5+ 7- 17+	2 3- 5+ 7- -1 -1 17+  1
Curve Equation t Generators 26775bl1 [0,0,1,4425,78781] 1 [4322:101237:8]
26775bm (1 curve)	0	3- 5+ 7- 17-	0 3- 5+ 7-  2 -3 17- -2
Curve Equation t 26775bm1 [0,0,1,-7950,-403344] 1
26775bn (1 curve)	0	3- 5+ 7- 17-	0 3- 5+ 7- -3 -3 17-  3
Curve Equation t 26775bn1 [0,0,1,802050,-250095969] 1
26775bo (1 curve)	0	3- 5+ 7- 17-	0 3- 5+ 7-  5  6 17- -8
Curve Equation t 26775bo1 [0,0,1,-922890,-341096949] 1
26775bp (2 curves)	0	3- 5+ 7- 17-	1 3- 5+ 7-  4  4 17-  6
Curve Equation t 26775bp1 [1,-1,0,17208,1426491] 2 26775bp2 [1,-1,0,-134667,15550866] 2
26775bq (6 curves)	2	3- 5+ 7- 17-	-1 3- 5+ 7- -4 -6 17- -4
Curve Equation t Generators 26775bq1 [1,-1,1,7870,-667128] 2 [74:525:1]&[84:720:1] 26775bq2 [1,-1,1,-83255,-8139378] 4 [-196:885:1]&[-1418:8805:8] 26775bq3 [1,-1,1,-336380,66785622] 4 [614:9255:1]&[-636:5130:1] 26775bq4 [1,-1,1,-1288130,-562381878] 2 [-655:426:1]&[-5226:3093:8] 26775bq5 [1,-1,1,490495,342961872] 2 [-447:6075:1]&[-286:13530:1] 26775bq6 [1,-1,1,-5213255,4582771872] 4 [-2536:39855:1]&[-12938:756165:8]
26775br (1 curve)	0	3- 5+ 7- 17-	-2 3- 5+ 7- -2  1 17-  6
Curve Equation t 26775br1 [0,0,1,-2249175,-1301211594] 1
26775bs (1 curve)	1	3- 5- 7+ 17+	0 3- 5- 7+  5 -6 17+ -8
Curve Equation t Generators 26775bs1 [0,0,1,-23072250,-42637118594] 1 [-962150:1120666:343]
26775bt (1 curve)	0	3- 5- 7+ 17-	-2 3- 5- 7+  0  5 17-  4
Curve Equation t 26775bt1 [0,0,1,-53625,-4939844] 1
26775bu (1 curve)	0	3- 5- 7- 17+	2 3- 5- 7-  0 -5 17+  4
Curve Equation t 26775bu1 [0,0,1,-2145,-39519] 1
26775bv (1 curve)	0	3- 5- 7- 17+	2 3- 5- 7- -1  4 17+  6
Curve Equation t 26775bv1 [0,0,1,-11325,-122819] 1
26775bw (2 curves)	1	3- 5- 7- 17-	0 3- 5- 7- -3  2 17-  8
Curve Equation t Generators 26775bw1 [0,0,1,-1200,-15894] 1 [-158:77:8] 26775bw2 [0,0,1,-7950,262881] 3 [-590:5351:8]
26775bx (1 curve)	1	3- 5- 7- 17-	-2 3- 5- 7- -3  4 17- -6
Curve Equation t Generators 26775bx1 [0,0,1,-15375,-732344] 1 [-74:13:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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