Cremona's table of elliptic curves

71775 = 3² · 5² · 11 · 29

Class	r	Atkin-Lehner	Eigenvalues
71775a (1 curve)	1	3+ 5+ 11+ 29+	-1 3+ 5+  1 11+  0  2 -2
Curve Equation t Generators 71775a1 [1,-1,1,-446690,150540742] 1 [-55270:2048779:125]
71775b (2 curves)	2	3+ 5+ 11+ 29-	0 3+ 5+ -2 11+ -2  0 -4
Curve Equation t Generators 71775b1 [0,0,1,-240,1276] 1 [-14:43:1]&[4:19:1] 71775b2 [0,0,1,-4590,-119509] 1 [-39:13:1]&[1778:25089:8]
71775c (2 curves)	0	3+ 5+ 11+ 29-	1 3+ 5+ -4 11+  6  2 -2
Curve Equation t 71775c1 [1,-1,0,-2067,62216] 2 71775c2 [1,-1,0,-39192,2995091] 2
71775d (1 curve)	0	3+ 5+ 11+ 29-	-1 3+ 5+ -1 11+  4 -2 -2
Curve Equation t 71775d1 [1,-1,1,-61055,-5793428] 1
71775e (1 curve)	0	3+ 5+ 11+ 29-	2 3+ 5+  0 11+  4  6  8
Curve Equation t 71775e1 [0,0,1,-23405625,43584138281] 1
71775f (2 curves)	2	3+ 5+ 11- 29+	0 3+ 5+ -2 11- -2  0 -4
Curve Equation t Generators 71775f1 [0,0,1,-510,4426] 1 [-26:10:1]&[4:49:1] 71775f2 [0,0,1,-2160,-34459] 1 [-222:509:8]&[-21:40:1]
71775g (1 curve)	0	3+ 5+ 11- 29+	1 3+ 5+ -1 11-  4  2 -2
Curve Equation t 71775g1 [1,-1,0,-549492,156972041] 1
71775h (2 curves)	0	3+ 5+ 11- 29+	-1 3+ 5+ -4 11-  6 -2 -2
Curve Equation t 71775h1 [1,-1,1,-230,-2228] 2 71775h2 [1,-1,1,-4355,-109478] 2
71775i (1 curve)	0	3+ 5+ 11- 29+	-2 3+ 5+  0 11-  4 -6  8
Curve Equation t 71775i1 [0,0,1,-2600625,-1614227344] 1
71775j (1 curve)	1	3+ 5+ 11- 29-	1 3+ 5+  1 11-  0 -2 -2
Curve Equation t Generators 71775j1 [1,-1,0,-49632,-5559039] 1 [600:13131:1]
71775k (1 curve)	0	3+ 5- 11+ 29+	1 3+ 5- -1 11+  0 -2 -2
Curve Equation t 71775k1 [1,-1,0,-11167242,18806425541] 1
71775l (1 curve)	0	3+ 5- 11+ 29+	1 3+ 5-  4 11+  5  3 -2
Curve Equation t 71775l1 [1,-1,0,-16617,828666] 1
71775m (1 curve)	2	3+ 5- 11+ 29+	-1 3+ 5- -4 11+ -5 -3 -2
Curve Equation t Generators 71775m1 [1,-1,1,-665,6762] 1 [-6:105:1]&[14:0:1]
71775n (2 curves)	1	3+ 5- 11+ 29-	0 3+ 5-  2 11+  2  0 -4
Curve Equation t Generators 71775n1 [0,0,1,-6000,159531] 3 [450:21:8] 71775n2 [0,0,1,-114750,-14938594] 1 [84534:66455:216]
71775o (1 curve)	1	3+ 5- 11+ 29-	1 3+ 5-  1 11+ -4  2 -2
Curve Equation t Generators 71775o1 [1,-1,0,-2442,-45859] 1 [424612:1113031:6859]
71775p (1 curve)	1	3+ 5- 11+ 29-	-2 3+ 5-  0 11+ -4 -6  8
Curve Equation t Generators 71775p1 [0,0,1,-936225,348673106] 1 [559:14:1]
71775q (2 curves)	1	3+ 5- 11- 29+	0 3+ 5-  2 11-  2  0 -4
Curve Equation t Generators 71775q1 [0,0,1,-12750,553281] 3 [141:1248:1] 71775q2 [0,0,1,-54000,-4307344] 1 [61206:382841:216]
71775r (1 curve)	1	3+ 5- 11- 29+	-1 3+ 5-  1 11- -4 -2 -2
Curve Equation t Generators 71775r1 [1,-1,1,-21980,1260172] 1 [34:725:1]
71775s (1 curve)	1	3+ 5- 11- 29+	2 3+ 5-  0 11- -4  6  8
Curve Equation t Generators 71775s1 [0,0,1,-104025,-12913819] 1 [23330:1251811:8]
71775t (1 curve)	0	3+ 5- 11- 29-	1 3+ 5- -4 11- -5  3 -2
Curve Equation t 71775t1 [1,-1,0,-5982,-176599] 1
71775u (1 curve)	0	3+ 5- 11- 29-	-1 3+ 5- -1 11-  0  2 -2
Curve Equation t 71775u1 [1,-1,1,-1240805,-696120678] 1
71775v (1 curve)	0	3+ 5- 11- 29-	-1 3+ 5-  4 11-  5 -3 -2
Curve Equation t 71775v1 [1,-1,1,-149555,-22224428] 1
71775w (2 curves)	0	3- 5+ 11+ 29+	-1 3- 5+ -2 11+  6  2 -4
Curve Equation t 71775w1 [1,-1,1,-465755,-122218878] 2 71775w2 [1,-1,1,-433130,-140097378] 2
71775x (1 curve)	0	3- 5+ 11+ 29+	2 3- 5+  1 11+ -3 -4 -1
Curve Equation t 71775x1 [0,0,1,-636465,372030151] 1
71775y (1 curve)	1	3- 5+ 11+ 29-	0 3- 5+  4 11+  6  0 -4
Curve Equation t Generators 71775y1 [0,0,1,-63750,5185156] 1 [7662:85141:27]
71775z (2 curves)	1	3- 5+ 11+ 29-	-1 3- 5+  2 11+  4  2  4
Curve Equation t Generators 71775z1 [1,-1,1,1120,1122] 2 [0:33:1] 71775z2 [1,-1,1,-4505,12372] 2 [-66:170:1]
71775ba (2 curves)	1	3- 5+ 11+ 29-	-1 3- 5+ -2 11+ -2  2  0
Curve Equation t Generators 71775ba1 [1,-1,1,-94505,-11138128] 2 [1854:77710:1] 71775ba2 [1,-1,1,-61880,-18968128] 2 [384:3520:1]
71775bb (2 curves)	1	3- 5+ 11+ 29-	2 3- 5+ -2 11+  4  2  0
Curve Equation t Generators 71775bb1 [0,0,1,-144435,-21126789] 1 [8794490:823954207:1000] 71775bb2 [0,0,1,-1858125,969163281] 1 [6898:22703:8]
71775bc (1 curve)	1	3- 5+ 11+ 29-	2 3- 5+ -4 11+  1 -8  7
Curve Equation t Generators 71775bc1 [0,0,1,-29925,1993781] 1 [770:571:8]
71775bd (1 curve)	1	3- 5+ 11- 29+	0 3- 5+  4 11- -2  4 -4
Curve Equation t Generators 71775bd1 [0,0,1,-22080,1262601] 1 [89:49:1]
71775be (2 curves)	1	3- 5+ 11- 29+	1 3- 5+  2 11- -2  6  4
Curve Equation t Generators 71775be1 [1,-1,0,-110592,-14109309] 2 [144152477322:-4785363721461:122763473] 71775be2 [1,-1,0,-77967,-22624434] 2 [161943474:2023633038:357911]
71775bf (6 curves)	1	3- 5+ 11- 29+	-1 3- 5+  0 11-  2  2 -4
Curve Equation t Generators 71775bf1 [1,-1,1,-3252380,-2256802378] 2 [-4192095976472:2094057336835:4027268071] 71775bf2 [1,-1,1,-3253505,-2255162128] 4 [-82751952:-91967840:79507] 71775bf3 [1,-1,1,-2325380,-3569387128] 2 [59413446494845:-4051967422685102:11497268593] 71775bf4 [1,-1,1,-4199630,-835974628] 4 [-1622:42121:1] 71775bf5 [1,-1,1,16190995,-6586130878] 2 [2424:215350:1] 71775bf6 [1,-1,1,-39728255,95730828122] 2 [20653:2832975:1]
71775bg (6 curves)	1	3- 5+ 11- 29+	-1 3- 5+  0 11- -6  2 -4
Curve Equation t Generators 71775bg1 [1,-1,1,74245,-14353878] 2 [194250:4862444:343] 71775bg2 [1,-1,1,-628880,-160603878] 4 [-432:5721:1] 71775bg3 [1,-1,1,-2907005,1757577372] 4 [-1110:60686:1] 71775bg4 [1,-1,1,-9600755,-11447222628] 2 [-2369367:1278385:1331] 71775bg5 [1,-1,1,3218620,8177232372] 2 [8009:736020:1] 71775bg6 [1,-1,1,-45482630,118074184872] 2 [-4416:484695:1]
71775bh (1 curve)	1	3- 5+ 11- 29+	-1 3- 5+  1 11-  6 -1 -1
Curve Equation t Generators 71775bh1 [1,-1,1,490,11022] 1 [18:-169:1]
71775bi (1 curve)	1	3- 5+ 11- 29+	-1 3- 5+  3 11- -4  5  5
Curve Equation t Generators 71775bi1 [1,-1,1,5710,-772558] 1 [16605:-198634:125]
71775bj (1 curve)	1	3- 5+ 11- 29+	2 3- 5+  0 11-  0  8 -4
Curve Equation t Generators 71775bj1 [0,0,1,-75,-149] 1 [82:97:8]
71775bk (1 curve)	1	3- 5+ 11- 29+	2 3- 5+  4 11-  0 -4 -4
Curve Equation t Generators 71775bk1 [0,0,1,-174860625,889838250781] 1 [352882:71106735:8]
71775bl (1 curve)	1	3- 5+ 11- 29+	2 3- 5+ -4 11- -6  4 -2
Curve Equation t Generators 71775bl1 [0,0,1,-8325,292781] 1 [2884:6087:64]
71775bm (1 curve)	1	3- 5+ 11- 29+	-2 3- 5+  2 11-  4 -2 -8
Curve Equation t Generators 71775bm1 [0,0,1,-83505,-9277484] 1 [344:1644:1]
71775bn (1 curve)	1	3- 5+ 11- 29+	-2 3- 5+ -4 11- -5  4  1
Curve Equation t Generators 71775bn1 [0,0,1,-3675,183406] 1 [35:-313:1]
71775bo (1 curve)	1	3- 5+ 11- 29+	-2 3- 5+  5 11-  1 -8  7
Curve Equation t Generators 71775bo1 [0,0,1,65625,-1846094] 1 [196:-4307:1]
71775bp (1 curve)	0	3- 5+ 11- 29-	1 3- 5+  1 11-  0  7  7
Curve Equation t 71775bp1 [1,-1,0,-438867,112032666] 1
71775bq (2 curves)	1	3- 5- 11+ 29+	1 3- 5- -2 11+ -4 -6  4
Curve Equation t Generators 71775bq1 [1,-1,0,-408987,100538496] 2 [-116:12158:1] 71775bq2 [1,-1,0,-573012,12457071] 2 [81396:2301777:64]
71775br (2 curves)	1	3- 5- 11+ 29+	-1 3- 5-  2 11+  4  6  4
Curve Equation t Generators 71775br1 [1,-1,1,-10224680,12557087322] 2 [393550:532097979:4913] 71775br2 [1,-1,1,-14325305,1542808572] 2 [-1310441175:-293278729843:3581577]
71775bs (1 curve)	1	3- 5- 11+ 29+	-2 3- 5- -1 11+  3  4 -1
Curve Equation t Generators 71775bs1 [0,0,1,-15911625,46503768906] 1 [2075:-149738:1]
71775bt (1 curve)	2	3- 5- 11+ 29-	0 3- 5- -4 11+ -6  0 -4
Curve Equation t Generators 71775bt1 [0,0,1,-2550,41481] 1 [-398:1697:8]&[11:121:1]
71775bu (2 curves)	2	3- 5- 11+ 29-	-2 3- 5-  2 11+ -4 -2  0
Curve Equation t Generators 71775bu1 [0,0,1,-74325,7753306] 1 [-260:3082:1]&[-206:3784:1] 71775bu2 [0,0,1,-3610875,-2640848594] 1 [-1100:337:1]&[-1091:139:1]
71775bv (1 curve)	2	3- 5- 11- 29+	0 3- 5- -4 11-  2 -4 -4
Curve Equation t Generators 71775bv1 [0,0,1,-552000,157825156] 1 [-644:15691:1]&[-50:13612:1]
71775bw (1 curve)	2	3- 5- 11- 29+	1 3- 5- -1 11- -6  1 -1
Curve Equation t Generators 71775bw1 [1,-1,0,12258,1390041] 1 [144:2403:1]&[-56:753:1]
71775bx (1 curve)	0	3- 5- 11- 29+	1 3- 5-  2 11- -1  5  0
Curve Equation t 71775bx1 [1,-1,0,13383,-166334] 1
71775by (1 curve)	0	3- 5- 11- 29+	1 3- 5- -3 11-  4 -5  5
Curve Equation t 71775by1 [1,-1,0,142758,-96426959] 1
71775bz (1 curve)	2	3- 5- 11- 29+	-1 3- 5- -2 11-  1 -5  0
Curve Equation t Generators 71775bz1 [1,-1,1,535,-1438] 1 [30:179:8]&[4:25:1]
71775ca (1 curve)	0	3- 5- 11- 29+	2 3- 5- -2 11- -4  2 -8
Curve Equation t 71775ca1 [0,0,1,-2087625,-1159685469] 1
71775cb (1 curve)	0	3- 5- 11- 29+	2 3- 5- -5 11- -1  8  7
Curve Equation t 71775cb1 [0,0,1,2625,-14769] 1
71775cc (1 curve)	2	3- 5- 11- 29+	-2 3- 5-  0 11-  0 -8 -4
Curve Equation t Generators 71775cc1 [0,0,1,-1875,-18594] 1 [-34:76:1]&[-25:112:1]
71775cd (1 curve)	2	3- 5- 11- 29+	-2 3- 5- -4 11-  0  4 -4
Curve Equation t Generators 71775cd1 [0,0,1,-6994425,7118706006] 1 [-2965:42322:1]&[1490:2227:1]
71775ce (1 curve)	1	3- 5- 11- 29-	1 3- 5-  2 11-  3 -3  0
Curve Equation t Generators 71775ce1 [1,-1,0,-3177,335506] 1 [54:538:1]
71775cf (1 curve)	1	3- 5- 11- 29-	-1 3- 5- -1 11-  0 -7  7
Curve Equation t Generators 71775cf1 [1,-1,1,-17555,899772] 1 [68:96:1]
71775cg (1 curve)	1	3- 5- 11- 29-	-1 3- 5- -2 11- -3  3  0
Curve Equation t Generators 71775cg1 [1,-1,1,-79430,41858822] 1 [-15:6568:1]

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