Cremona's table of elliptic curves

81774 = 2 · 3² · 7 · 11 · 59

Class	r	Atkin-Lehner	Eigenvalues
81774a (1 curve)	0	2+ 3+ 7+ 11+ 59-	2+ 3+  3 7+ 11+ -2 -5  5
Curve Equation t 81774a1 [1,-1,0,2442,141812] 1
81774b (2 curves)	0	2+ 3+ 7+ 11- 59+	2+ 3+ -2 7+ 11- -4 -2  0
Curve Equation t 81774b1 [1,-1,0,-3482148,-2469079984] 2 81774b2 [1,-1,0,-55521828,-159223004080] 2
81774c (2 curves)	2	2+ 3+ 7+ 11- 59+	2+ 3+ -2 7+ 11- -4 -8  0
Curve Equation t Generators 81774c1 [1,-1,0,-348,-1316] 2 [-12:38:1]&[-10:38:1] 81774c2 [1,-1,0,1122,-10430] 2 [17:107:1]&[198:1333:8]
81774d (2 curves)	2	2+ 3+ 7- 11+ 59+	2+ 3+  0 7- 11+ -2 -4 -4
Curve Equation t Generators 81774d1 [1,-1,0,-642,-4540] 2 [-16:46:1]&[-13:45:1] 81774d2 [1,-1,0,-3582,79544] 2 [-50:388:1]&[-20:388:1]
81774e (2 curves)	0	2+ 3+ 7- 11+ 59+	2+ 3+  2 7- 11+  4 -4 -4
Curve Equation t 81774e1 [1,-1,0,-70971,-6831451] 2 81774e2 [1,-1,0,59709,-29230003] 2
81774f (4 curves)	1	2+ 3+ 7- 11+ 59-	2+ 3+  0 7- 11+ -4  0 -4
Curve Equation t Generators 81774f1 [1,-1,0,-20382,728640] 6 [-111:1326:1] 81774f2 [1,-1,0,-133572,-18219366] 6 [-209:836:1] 81774f3 [1,-1,0,-670857,-211288627] 2 [-12858:9949:27] 81774f4 [1,-1,0,-10733217,-13531840795] 2 [-3268065480:1632891809:1728000]
81774g (4 curves)	0	2+ 3+ 7- 11- 59-	2+ 3+  0 7- 11- -4  6 -4
Curve Equation t 81774g1 [1,-1,0,-607677,181697733] 6 81774g2 [1,-1,0,-288237,372020085] 6 81774g3 [1,-1,0,-3498972,-2387478448] 2 81774g4 [1,-1,0,2583588,-9816717232] 2
81774h (2 curves)	0	2+ 3+ 7- 11- 59-	2+ 3+  4 7- 11-  0  6  4
Curve Equation t 81774h1 [1,-1,0,-1230,4868] 2 81774h2 [1,-1,0,4710,34568] 2
81774i (1 curve)	0	2+ 3- 7+ 11+ 59+	2+ 3- -1 7+ 11+ -1  3  5
Curve Equation t 81774i1 [1,-1,0,-9360,-228096] 1
81774j (1 curve)	0	2+ 3- 7+ 11+ 59+	2+ 3- -2 7+ 11+  1  2 -3
Curve Equation t 81774j1 [1,-1,0,327987,156197349] 1
81774k (2 curves)	1	2+ 3- 7+ 11+ 59-	2+ 3-  0 7+ 11+ -6  0 -4
Curve Equation t Generators 81774k1 [1,-1,0,-3267,-68607] 2 [-33:66:1] 81774k2 [1,-1,0,-51777,-4521825] 2 [-131:66:1]
81774l (2 curves)	1	2+ 3- 7+ 11- 59+	2+ 3-  0 7+ 11-  6  0 -4
Curve Equation t Generators 81774l1 [1,-1,0,-131787,18447345] 2 [192:345:1] 81774l2 [1,-1,0,-132777,18156879] 2 [181:81:1]
81774m (1 curve)	1	2+ 3- 7+ 11- 59+	2+ 3-  1 7+ 11-  5  7 -3
Curve Equation t Generators 81774m1 [1,-1,0,-336204,-74949008] 1 [-114751:59009:343]
81774n (2 curves)	1	2+ 3- 7+ 11- 59+	2+ 3- -2 7+ 11-  2 -2  6
Curve Equation t Generators 81774n1 [1,-1,0,-2133,197365] 2 [11:413:1] 81774n2 [1,-1,0,-65493,6444661] 2 [-1:2552:1]
81774o (4 curves)	1	2+ 3- 7+ 11- 59+	2+ 3- -2 7+ 11-  2 -6  4
Curve Equation t Generators 81774o1 [1,-1,0,15822,-1916460] 2 [309:5538:1] 81774o2 [1,-1,0,-168498,-23481900] 4 [-236:1878:1] 81774o3 [1,-1,0,-678258,190923156] 2 [-612:19710:1] 81774o4 [1,-1,0,-2607858,-1620286956] 2 [-929:492:1]
81774p (1 curve)	1	2+ 3- 7+ 11- 59+	2+ 3- -3 7+ 11-  1  7  3
Curve Equation t Generators 81774p1 [1,-1,0,-141,-379] 1 [-5:16:1]
81774q (2 curves)	1	2+ 3- 7+ 11- 59+	2+ 3- -4 7+ 11-  2  0  8
Curve Equation t Generators 81774q1 [1,-1,0,-6582114,6493277844] 2 [-2348:96038:1] 81774q2 [1,-1,0,-8498754,2405084724] 2 [-2447:93662:1]
81774r (1 curve)	0	2+ 3- 7+ 11- 59-	2+ 3-  1 7+ 11- -2  1  7
Curve Equation t 81774r1 [1,-1,0,-17424,-36612864] 1
81774s (2 curves)	0	2+ 3- 7+ 11- 59-	2+ 3- -2 7+ 11- -2 -2 -2
Curve Equation t 81774s1 [1,-1,0,9852597,7950565125] 2 81774s2 [1,-1,0,-48125763,69836666589] 2
81774t (2 curves)	0	2+ 3- 7- 11+ 59-	2+ 3-  0 7- 11+ -1  6 -1
Curve Equation t 81774t1 [1,-1,0,-6417,431973] 1 81774t2 [1,-1,0,-674667,213464727] 3
81774u (2 curves)	0	2+ 3- 7- 11+ 59-	2+ 3-  0 7- 11+ -2  0  0
Curve Equation t 81774u1 [1,-1,0,-148617,21219597] 2 81774u2 [1,-1,0,-402057,-70170867] 2
81774v (2 curves)	0	2+ 3- 7- 11+ 59-	2+ 3-  0 7- 11+ -6 -4  4
Curve Equation t 81774v1 [1,-1,0,-17381187,-27455930667] 2 81774v2 [1,-1,0,-276903747,-1773471809835] 2
81774w (1 curve)	0	2+ 3- 7- 11+ 59-	2+ 3-  3 7- 11+ -2  6  6
Curve Equation t 81774w1 [1,-1,0,551907,-30482163] 1
81774x (2 curves)	0	2+ 3- 7- 11+ 59-	2+ 3-  4 7- 11+ -1  2  5
Curve Equation t 81774x1 [1,-1,0,-29520,-1981152] 1 81774x2 [1,-1,0,165150,86521878] 1
81774y (2 curves)	0	2+ 3- 7- 11- 59+	2+ 3-  0 7- 11-  2  0 -8
Curve Equation t 81774y1 [1,-1,0,-614088342,4030429149684] 2 81774y2 [1,-1,0,-3793239702,-86817635943948] 2
81774z (1 curve)	0	2+ 3- 7- 11- 59+	2+ 3-  3 7- 11- -1  3 -5
Curve Equation t 81774z1 [1,-1,0,-118683,-547803] 1
81774ba (1 curve)	1	2+ 3- 7- 11- 59-	2+ 3-  1 7- 11-  1  1 -1
Curve Equation t Generators 81774ba1 [1,-1,0,-17109,-852899] 1 [-79:71:1]
81774bb (1 curve)	1	2+ 3- 7- 11- 59-	2+ 3-  1 7- 11- -2 -3  3
Curve Equation t Generators 81774bb1 [1,-1,0,216,3726] 1 [-9:36:1]
81774bc (1 curve)	1	2+ 3- 7- 11- 59-	2+ 3- -1 7- 11-  0 -4 -2
Curve Equation t Generators 81774bc1 [1,-1,0,3450,47924] 1 [19:-356:1]
81774bd (1 curve)	1	2+ 3- 7- 11- 59-	2+ 3- -1 7- 11- -6 -6 -2
Curve Equation t Generators 81774bd1 [1,-1,0,-13180770,71209528924] 1 [-4693:174656:1]
81774be (2 curves)	1	2+ 3- 7- 11- 59-	2+ 3-  2 7- 11-  0  6  4
Curve Equation t Generators 81774be1 [1,-1,0,-1881,-29075] 2 [-27:52:1] 81774be2 [1,-1,0,-29601,-1952843] 2 [-99:52:1]
81774bf (2 curves)	1	2+ 3- 7- 11- 59-	2+ 3- -2 7- 11-  0 -2  4
Curve Equation t Generators 81774bf1 [1,-1,0,-9485014383,279340347186841] 2 [33104:1258379:1] 81774bf2 [1,-1,0,-49435085313,-3989332721697845] 2 [-151773:4254827:1]
81774bg (1 curve)	1	2+ 3- 7- 11- 59-	2+ 3- -2 7- 11- -5 -2 -1
Curve Equation t Generators 81774bg1 [1,-1,0,882,1876] 1 [-1:32:1]
81774bh (2 curves)	1	2+ 3- 7- 11- 59-	2+ 3- -3 7- 11-  5 -3  5
Curve Equation t Generators 81774bh1 [1,-1,0,-2551626,-1568183652] 1 [-472248:242361:512] 81774bh2 [1,-1,0,-2996316,-983970342] 3 [-1521:8037:1]
81774bi (2 curves)	1	2- 3+ 7+ 11+ 59-	2- 3+  2 7+ 11+ -4  2  0
Curve Equation t Generators 81774bi1 [1,-1,1,-31339334,66696498901] 2 [713:211099:1] 81774bi2 [1,-1,1,-499696454,4299520806613] 2 [13309:72995:1]
81774bj (2 curves)	1	2- 3+ 7+ 11+ 59-	2- 3+  2 7+ 11+ -4  8  0
Curve Equation t Generators 81774bj1 [1,-1,1,-3134,38665] 2 [5:149:1] 81774bj2 [1,-1,1,10096,271513] 2 [2686:50143:8]
81774bk (1 curve)	1	2- 3+ 7+ 11- 59+	2- 3+ -3 7+ 11- -2  5  5
Curve Equation t Generators 81774bk1 [1,-1,1,271,-5343] 1 [59:432:1]
81774bl (4 curves)	1	2- 3+ 7- 11+ 59+	2- 3+  0 7- 11+ -4 -6 -4
Curve Equation t Generators 81774bl1 [1,-1,1,-388775,88554719] 6 [-573:11374:1] 81774bl2 [1,-1,1,287065,363486431] 6 [525:25402:1] 81774bl3 [1,-1,1,-5469095,-4900369697] 2 [-169345:658414:125] 81774bl4 [1,-1,1,-2594135,-10041948161] 2 [20383935:-1498936988:3375]
81774bm (2 curves)	1	2- 3+ 7- 11+ 59+	2- 3+ -4 7- 11+  0 -6  4
Curve Equation t Generators 81774bm1 [1,-1,1,-137,-135] 2 [21:-88:1] 81774bm2 [1,-1,1,523,-1455] 2 [15:-106:1]
81774bn (4 curves)	0	2- 3+ 7- 11- 59+	2- 3+  0 7- 11- -4  0 -4
Curve Equation t 81774bn1 [1,-1,1,-74540,7850351] 6 81774bn2 [1,-1,1,-1192580,501576815] 6 81774bn3 [1,-1,1,-183440,-19489841] 2 81774bn4 [1,-1,1,-1202150,493125031] 2
81774bo (2 curves)	1	2- 3+ 7- 11- 59-	2- 3+  0 7- 11- -2  4 -4
Curve Equation t Generators 81774bo1 [1,-1,1,-5780,128359] 2 [-37:557:1] 81774bo2 [1,-1,1,-32240,-2115449] 2 [-91:287:1]
81774bp (2 curves)	1	2- 3+ 7- 11- 59-	2- 3+ -2 7- 11-  4  4 -4
Curve Equation t Generators 81774bp1 [1,-1,1,-7886,255645] 2 [-91:507:1] 81774bp2 [1,-1,1,6634,1080381] 2 [-69:573:1]
81774bq (4 curves)	1	2- 3- 7+ 11+ 59+	2- 3-  2 7+ 11+  6 -2  4
Curve Equation t Generators 81774bq1 [1,-1,1,-9641714,11525779185] 4 [335:91119:1] 81774bq2 [1,-1,1,-9642434,11523972273] 4 [244143:66421279:729] 81774bq3 [1,-1,1,-8357414,14705681793] 2 [5246084187621:-1050471694499995:10204192809] 81774bq4 [1,-1,1,-10938974,8226611745] 2 [668373200479111:26983578093948831:170307838007]
81774br (1 curve)	1	2- 3- 7+ 11+ 59+	2- 3-  3 7+ 11+  1  5 -1
Curve Equation t Generators 81774br1 [1,-1,1,-814046,-238328211] 1 [-679:1347:1]
81774bs (2 curves)	0	2- 3- 7+ 11+ 59-	2- 3- -2 7+ 11+  4 -2  0
Curve Equation t 81774bs1 [1,-1,1,-761,1397] 2 81774bs2 [1,-1,1,-7691,-256399] 2
81774bt (4 curves)	0	2- 3- 7+ 11+ 59-	2- 3- -2 7+ 11+  6  6 -4
Curve Equation t 81774bt1 [1,-1,1,-164966,26954741] 4 81774bt2 [1,-1,1,-2671286,1681125941] 4 81774bt3 [1,-1,1,-2703146,1638994277] 2 81774bt4 [1,-1,1,-42740546,107560138565] 2
81774bu (2 curves)	0	2- 3- 7+ 11- 59+	2- 3-  0 7+ 11-  6  2  0
Curve Equation t 81774bu1 [1,-1,1,-111830,-14311195] 2 81774bu2 [1,-1,1,-56390,-28548187] 2
81774bv (1 curve)	0	2- 3- 7+ 11- 59+	2- 3-  1 7+ 11- -1 -3 -5
Curve Equation t 81774bv1 [1,-1,1,-16173887,-24463010833] 1
81774bw (4 curves)	0	2- 3- 7+ 11- 59+	2- 3-  2 7+ 11-  2  2  4
Curve Equation t 81774bw1 [1,-1,1,-1191299,500729091] 4 81774bw2 [1,-1,1,-1278419,423331683] 4 81774bw3 [1,-1,1,3051841,2669870571] 2 81774bw4 [1,-1,1,-7002599,-6777686757] 2
81774bx (2 curves)	2	2- 3- 7+ 11- 59+	2- 3- -2 7+ 11- -2 -8 -2
Curve Equation t Generators 81774bx1 [1,-1,1,-4811,-91429] 2 [-53:138:1]&[-45:202:1] 81774bx2 [1,-1,1,12469,-609829] 2 [51:370:1]&[55:462:1]
81774by (1 curve)	1	2- 3- 7+ 11- 59-	2- 3-  1 7+ 11- -2 -2 -2
Curve Equation t Generators 81774by1 [1,-1,1,-47822,4042973] 1 [117:-257:1]
81774bz (1 curve)	1	2- 3- 7+ 11- 59-	2- 3-  1 7+ 11- -4  4  6
Curve Equation t Generators 81774bz1 [1,-1,1,-6932,229087] 1 [331:5675:1]
81774ca (1 curve)	1	2- 3- 7+ 11- 59-	2- 3- -1 7+ 11-  5 -1 -3
Curve Equation t Generators 81774ca1 [1,-1,1,-3533,81533] 1 [33:-8:1]
81774cb (2 curves)	0	2- 3- 7- 11+ 59+	2- 3-  2 7- 11+ -4  6 -4
Curve Equation t 81774cb1 [1,-1,1,-9387149,-11067310155] 2 81774cb2 [1,-1,1,-9830669,-9963654987] 2
81774cc (4 curves)	0	2- 3- 7- 11+ 59+	2- 3-  2 7- 11+  6  6  4
Curve Equation t 81774cc1 [1,-1,1,-28190894,56836029885] 4 81774cc2 [1,-1,1,-55850414,-72986693187] 4 81774cc3 [1,-1,1,196013506,-549513229827] 2 81774cc4 [1,-1,1,-750266654,-7905446347395] 2
81774cd (1 curve)	0	2- 3- 7- 11+ 59+	2- 3-  3 7- 11+ -4  0 -6
Curve Equation t 81774cd1 [1,-1,1,-131,3773] 1
81774ce (1 curve)	1	2- 3- 7- 11+ 59-	2- 3- -1 7- 11+ -7  3 -1
Curve Equation t Generators 81774ce1 [1,-1,1,-21443,1093443] 1 [41:510:1]
81774cf (4 curves)	1	2- 3- 7- 11+ 59-	2- 3- -2 7- 11+ -6  2  4
Curve Equation t Generators 81774cf1 [1,-1,1,4594,239645] 2 [25:595:1] 81774cf2 [1,-1,1,-41486,2783261] 4 [-63:2299:1] 81774cf3 [1,-1,1,-184046,-27667555] 2 [-261:1723:1] 81774cf4 [1,-1,1,-636206,195472541] 2 [493:963:1]
81774cg (2 curves)	1	2- 3- 7- 11+ 59-	2- 3-  3 7- 11+  5  3 -7
Curve Equation t Generators 81774cg1 [1,-1,1,-851,-331] 1 [-42:521:8] 81774cg2 [1,-1,1,-45896,3795923] 3 [333018:-33025:2744]
81774ch (2 curves)	1	2- 3- 7- 11+ 59-	2- 3-  4 7- 11+ -6  4 -8
Curve Equation t Generators 81774ch1 [1,-1,1,-27428,-1667581] 2 [2262:27845:8] 81774ch2 [1,-1,1,-75938,5899979] 2 [307390:3241617:1000]
81774ci (2 curves)	1	2- 3- 7- 11- 59+	2- 3-  0 7- 11-  0  6  4
Curve Equation t Generators 81774ci1 [1,-1,1,-4368380,3515296191] 2 [1217:-1203:1] 81774ci2 [1,-1,1,-4297820,3634288575] 2 [41:-58827:1]
81774cj (1 curve)	1	2- 3- 7- 11- 59+	2- 3- -1 7- 11- -4  0  2
Curve Equation t Generators 81774cj1 [1,-1,1,-61448,-35963157] 1 [1079:33417:1]
81774ck (1 curve)	1	2- 3- 7- 11- 59+	2- 3-  3 7- 11- -3 -3  7
Curve Equation t Generators 81774ck1 [1,-1,1,-446,-1281] 1 [-6968:26817:512]
81774cl (2 curves)	0	2- 3- 7- 11- 59-	2- 3-  0 7- 11-  5  6 -7
Curve Equation t 81774cl1 [1,-1,1,-334330925,-2362276669291] 1 81774cl2 [1,-1,1,812695900,-12514609857337] 3
81774cm (2 curves)	0	2- 3- 7- 11- 59-	2- 3-  2 7- 11- -6 -6  2
Curve Equation t 81774cm1 [1,-1,1,166,533] 2 81774cm2 [1,-1,1,-824,5285] 2
81774cn (2 curves)	0	2- 3- 7- 11- 59-	2- 3- -2 7- 11-  2  0  4
Curve Equation t 81774cn1 [1,-1,1,-1710671,787907027] 2 81774cn2 [1,-1,1,2024599,3750723191] 2

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

Part of Computational Number Theory
Back to Tables and computations