Cremona's table of elliptic curves

22770 = 2 · 3² · 5 · 11 · 23

Class	r	Atkin-Lehner	Eigenvalues
22770a (2 curves)	1	2+ 3+ 5+ 11+ 23+	2+ 3+ 5+  0 11+ -6 -2  2
Curve Equation t Generators 22770a1 [1,-1,0,-3450,-74060] 2 [-39:25:1] 22770a2 [1,-1,0,1830,-284204] 2 [57:25:1]
22770b (2 curves)	2	2+ 3+ 5+ 11+ 23-	2+ 3+ 5+  0 11+ -6 -8 -4
Curve Equation t Generators 22770b1 [1,-1,0,-631635,202047541] 2 [-297:19211:1]&[102:11725:1] 22770b2 [1,-1,0,-10231635,12599487541] 2 [-1197:152686:1]&[390:92909:1]
22770c (2 curves)	0	2+ 3+ 5+ 11- 23+	2+ 3+ 5+ -4 11-  6  4  0
Curve Equation t 22770c1 [1,-1,0,-2051884725,51168579758261] 2 22770c2 [1,-1,0,-36611884725,2695955523758261] 2
22770d (2 curves)	1	2+ 3+ 5- 11+ 23-	2+ 3+ 5-  0 11+ -4 -4  4
Curve Equation t Generators 22770d1 [1,-1,0,-10329,203885] 2 [11:297:1] 22770d2 [1,-1,0,-141009,20407013] 2 [77:3124:1]
22770e (2 curves)	1	2+ 3+ 5- 11+ 23-	2+ 3+ 5- -4 11+  2  3  2
Curve Equation t Generators 22770e1 [1,-1,0,381,333] 3 [27:159:1] 22770e2 [1,-1,0,-4794,-139852] 1 [7156:50449:64]
22770f (2 curves)	1	2+ 3+ 5- 11- 23+	2+ 3+ 5-  2 11- -6 -2  0
Curve Equation t Generators 22770f1 [1,-1,0,5196,-270640] 2 [56:412:1] 22770f2 [1,-1,0,-44484,-3022912] 2 [-148:624:1]
22770g (1 curve)	0	2+ 3- 5+ 11+ 23+	2+ 3- 5+ -3 11+ -3 -2 -4
Curve Equation t 22770g1 [1,-1,0,-5672115,-5198600075] 1
22770h (1 curve)	1	2+ 3- 5+ 11+ 23-	2+ 3- 5+ -2 11+ -4  3 -2
Curve Equation t Generators 22770h1 [1,-1,0,-945,11605] 1 [23:29:1]
22770i (6 curves)	1	2+ 3- 5+ 11- 23+	2+ 3- 5+  0 11- -2 -2 -4
Curve Equation t Generators 22770i1 [1,-1,0,36810,147316] 2 [1085:35741:1] 22770i2 [1,-1,0,-147510,1290100] 4 [-324:4034:1] 22770i3 [1,-1,0,-1573110,-756273740] 2 [-729:2009:1] 22770i4 [1,-1,0,-1671030,829780276] 4 [-1228:32690:1] 22770i5 [1,-1,0,-1000350,1501667500] 2 [-1159:33794:1] 22770i6 [1,-1,0,-26718030,53162982076] 2 [2985:-1454:1]
22770j (1 curve)	1	2+ 3- 5+ 11- 23+	2+ 3- 5+ -1 11-  1  8 -2
Curve Equation t Generators 22770j1 [1,-1,0,-5760,-221184] 1 [93:156:1]
22770k (1 curve)	1	2+ 3- 5+ 11- 23+	2+ 3- 5+  3 11- -4  7  1
Curve Equation t Generators 22770k1 [1,-1,0,-22785,1382741] 1 [-25:1404:1]
22770l (1 curve)	1	2+ 3- 5+ 11- 23+	2+ 3- 5+ -3 11- -5 -2 -4
Curve Equation t Generators 22770l1 [1,-1,0,30015,28208925] 1 [885:26895:1]
22770m (2 curves)	1	2+ 3- 5+ 11- 23+	2+ 3- 5+  4 11-  4 -8 -2
Curve Equation t Generators 22770m1 [1,-1,0,-450,-1724] 2 [-15:46:1] 22770m2 [1,-1,0,1530,-14000] 2 [26:194:1]
22770n (6 curves)	0	2+ 3- 5+ 11- 23-	2+ 3- 5+  0 11- -2  6  4
Curve Equation t 22770n1 [1,-1,0,-922095,4703457325] 2 22770n2 [1,-1,0,-48108015,127471783981] 4 22770n3 [1,-1,0,-83082735,-82369541075] 2 22770n4 [1,-1,0,-768108015,8193919783981] 4 22770n5 [1,-1,0,-766488015,8230202275981] 2 22770n6 [1,-1,0,-12289728015,524401669291981] 2
22770o (2 curves)	0	2+ 3- 5+ 11- 23-	2+ 3- 5+  0 11-  4  4  2
Curve Equation t 22770o1 [1,-1,0,-1525889655,5633746925661] 2 22770o2 [1,-1,0,5895340425,44341398776925] 2
22770p (1 curve)	0	2+ 3- 5+ 11- 23-	2+ 3- 5+ -1 11- -4 -5  1
Curve Equation t 22770p1 [1,-1,0,-57375,-5421875] 1
22770q (1 curve)	0	2+ 3- 5+ 11- 23-	2+ 3- 5+ -3 11-  4  0 -5
Curve Equation t 22770q1 [1,-1,0,-5850,-172364] 1
22770r (4 curves)	1	2+ 3- 5- 11+ 23+	2+ 3- 5-  0 11+  2 -6  4
Curve Equation t Generators 22770r1 [1,-1,0,81,42925] 2 [14:209:1] 22770r2 [1,-1,0,-17919,910525] 4 [-121:1199:1] 22770r3 [1,-1,0,-38619,-1569335] 2 [-141:1099:1] 22770r4 [1,-1,0,-285219,58700785] 2 [309:-143:1]
22770s (4 curves)	1	2+ 3- 5- 11+ 23+	2+ 3- 5- -4 11+  6  6  4
Curve Equation t Generators 22770s1 [1,-1,0,-249,1565] 2 [14:19:1] 22770s2 [1,-1,0,-429,-847] 4 [-11:55:1] 22770s3 [1,-1,0,1641,-7885] 2 [35:285:1] 22770s4 [1,-1,0,-5379,-150337] 2 [-41:25:1]
22770t (1 curve)	0	2+ 3- 5- 11+ 23-	2+ 3- 5- -1 11+  0 -4 -7
Curve Equation t 22770t1 [1,-1,0,-249,-3187] 1
22770u (2 curves)	0	2+ 3- 5- 11+ 23-	2+ 3- 5- -1 11+  2  0 -1
Curve Equation t 22770u1 [1,-1,0,-11979,-47832147] 1 22770u2 [1,-1,0,107811,1291396095] 3
22770v (2 curves)	0	2+ 3- 5- 11+ 23-	2+ 3- 5- -1 11+ -4  3 -1
Curve Equation t 22770v1 [1,-1,0,5661,408213] 1 22770v2 [1,-1,0,-295299,61927605] 3
22770w (2 curves)	0	2+ 3- 5- 11- 23+	2+ 3- 5- -1 11-  2  0  5
Curve Equation t 22770w1 [1,-1,0,-1584,34560] 1 22770w2 [1,-1,0,-142344,20706408] 3
22770x (1 curve)	0	2+ 3- 5- 11- 23+	2+ 3- 5-  3 11- -4  4 -5
Curve Equation t 22770x1 [1,-1,0,1371,-334315] 1
22770y (4 curves)	1	2+ 3- 5- 11- 23-	2+ 3- 5-  0 11- -2 -6  4
Curve Equation t Generators 22770y1 [1,-1,0,-3069,30325] 2 [-49:272:1] 22770y2 [1,-1,0,-24849,-1481207] 4 [-93:184:1] 22770y3 [1,-1,0,-2079,-4108865] 2 [321:5152:1] 22770y4 [1,-1,0,-396099,-95852957] 2 [-363:184:1]
22770z (1 curve)	1	2+ 3- 5- 11- 23-	2+ 3- 5- -3 11-  3  4  6
Curve Equation t Generators 22770z1 [1,-1,0,3366,-662] 1 [17:239:1]
22770ba (2 curves)	1	2- 3+ 5+ 11+ 23-	2- 3+ 5+  2 11+ -6  2  0
Curve Equation t Generators 22770ba1 [1,-1,1,577,9831] 2 [11:126:1] 22770ba2 [1,-1,1,-4943,113607] 2 [-67:408:1]
22770bb (2 curves)	1	2- 3+ 5+ 11- 23+	2- 3+ 5+  0 11- -4  4  4
Curve Equation t Generators 22770bb1 [1,-1,1,-1148,-7169] 2 [-29:47:1] 22770bb2 [1,-1,1,-15668,-750593] 2 [-73:47:1]
22770bc (2 curves)	1	2- 3+ 5+ 11- 23+	2- 3+ 5+ -4 11-  2 -3  2
Curve Equation t Generators 22770bc1 [1,-1,1,-533,5357] 3 [-15:106:1] 22770bc2 [1,-1,1,3427,-12419] 1 [37:386:1]
22770bd (2 curves)	0	2- 3+ 5- 11+ 23-	2- 3+ 5- -4 11+  6 -4  0
Curve Equation t 22770bd1 [1,-1,1,-227987192,-1895056587909] 2 22770bd2 [1,-1,1,-4067987192,-99848848587909] 2
22770be (2 curves)	0	2- 3+ 5- 11- 23+	2- 3+ 5-  0 11- -6  8 -4
Curve Equation t 22770be1 [1,-1,1,-5684717,-5449598891] 2 22770be2 [1,-1,1,-92084717,-340094078891] 2
22770bf (2 curves)	1	2- 3+ 5- 11- 23-	2- 3+ 5-  0 11- -6  2  2
Curve Equation t Generators 22770bf1 [1,-1,1,-31052,2030671] 2 [-91:2069:1] 22770bf2 [1,-1,1,16468,7657039] 2 [-37:2663:1]
22770bg (4 curves)	1	2- 3- 5+ 11+ 23+	2- 3- 5+ -4 11+  6 -6  0
Curve Equation t Generators 22770bg1 [1,-1,1,-6628973,6570932181] 4 [335:66072:1] 22770bg2 [1,-1,1,-6640493,6546956757] 4 [333:65958:1] 22770bg3 [1,-1,1,-2450813,14703425781] 2 [1125:115062:1] 22770bg4 [1,-1,1,-11014493,-3144077643] 2 [3641:68964:1]
22770bh (1 curve)	0	2- 3- 5+ 11+ 23-	2- 3- 5+ -1 11+ -3 -4 -6
Curve Equation t 22770bh1 [1,-1,1,-12669098,17359846647] 1
22770bi (1 curve)	0	2- 3- 5+ 11+ 23-	2- 3- 5+ -1 11+  4 -4  1
Curve Equation t 22770bi1 [1,-1,1,-15172493,-22763222859] 1
22770bj (1 curve)	0	2- 3- 5+ 11+ 23-	2- 3- 5+ -1 11+ -6  8  3
Curve Equation t 22770bj1 [1,-1,1,67,231] 1
22770bk (2 curves)	0	2- 3- 5+ 11+ 23-	2- 3- 5+  2 11+ -4 -3  2
Curve Equation t 22770bk1 [1,-1,1,-494573,172698581] 1 22770bk2 [1,-1,1,-43195748,109282981511] 3
22770bl (1 curve)	0	2- 3- 5+ 11+ 23-	2- 3- 5+  3 11+ -7  0 -2
Curve Equation t 22770bl1 [1,-1,1,-82868,-9168393] 1
22770bm (1 curve)	0	2- 3- 5+ 11+ 23-	2- 3- 5+ -3 11+ -4 -3  7
Curve Equation t 22770bm1 [1,-1,1,-68,-363] 1
22770bn (4 curves)	0	2- 3- 5+ 11+ 23-	2- 3- 5+  4 11+  2  6  4
Curve Equation t 22770bn1 [1,-1,1,-14423,-345873] 2 22770bn2 [1,-1,1,-198743,-34039569] 4 22770bn3 [1,-1,1,-167063,-45279633] 2 22770bn4 [1,-1,1,-3179543,-2181407889] 2
22770bo (2 curves)	0	2- 3- 5+ 11- 23+	2- 3- 5+  0 11-  4  4  2
Curve Equation t 22770bo1 [1,-1,1,-38318,-2846019] 2 22770bo2 [1,-1,1,-6638,-7433283] 2
22770bp (1 curve)	0	2- 3- 5+ 11- 23+	2- 3- 5+  3 11- -4  4  7
Curve Equation t 22770bp1 [1,-1,1,-4853,154837] 1
22770bq (2 curves)	1	2- 3- 5+ 11- 23-	2- 3- 5+ -1 11- -1  0  2
Curve Equation t Generators 22770bq1 [1,-1,1,337,-37969] 1 [225:3262:1] 22770bq2 [1,-1,1,-3038,1027181] 3 [-45:1057:1]
22770br (2 curves)	0	2- 3- 5- 11+ 23+	2- 3- 5-  2 11+ -4 -3  2
Curve Equation t 22770br1 [1,-1,1,-787892,-269123209] 1 22770br2 [1,-1,1,680773,-1111057621] 3
22770bs (1 curve)	1	2- 3- 5- 11+ 23-	2- 3- 5-  2 11+  0 -1 -6
Curve Equation t Generators 22770bs1 [1,-1,1,823,-108471] 1 [167:-2244:1]
22770bt (4 curves)	1	2- 3- 5- 11+ 23-	2- 3- 5- -4 11+ -4  0  2
Curve Equation t Generators 22770bt1 [1,-1,1,-360527,-72090601] 2 [939:19942:1] 22770bt2 [1,-1,1,597793,-390636169] 2 [4701:323674:1] 22770bt3 [1,-1,1,-7564262,8000620661] 6 [-2679:96379:1] 22770bt4 [1,-1,1,-5536742,12384929909] 6 [-2583:98491:1]
22770bu (4 curves)	1	2- 3- 5- 11- 23+	2- 3- 5-  0 11-  2 -2  4
Curve Equation t Generators 22770bu1 [1,-1,1,-6122,-182231] 2 [-43:31:1] 22770bu2 [1,-1,1,-9002,9001] 4 [-49:599:1] 22770bu3 [1,-1,1,35998,45001] 2 [131:2579:1] 22770bu4 [1,-1,1,-100082,12177289] 2 [247:1451:1]
22770bv (1 curve)	1	2- 3- 5- 11- 23+	2- 3- 5- -1 11- -5 -2  0
Curve Equation t Generators 22770bv1 [1,-1,1,712768,79578339] 1 [437:21561:1]
22770bw (1 curve)	0	2- 3- 5- 11- 23-	2- 3- 5-  2 11-  4 -5  6
Curve Equation t 22770bw1 [1,-1,1,-347,-3679] 1
22770bx (2 curves)	0	2- 3- 5- 11- 23-	2- 3- 5-  5 11- -4  0 -1
Curve Equation t 22770bx1 [1,-1,1,-3002,-78469] 1 22770bx2 [1,-1,1,22513,717599] 3

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