Cremona's table of elliptic curves

56826 = 2 · 3² · 7 · 11 · 41

Class	r	Atkin-Lehner	Eigenvalues
56826a (2 curves)	2	2+ 3+ 7+ 11- 41+	2+ 3+ -2 7+ 11-  2  2 -6
Curve Equation t Generators 56826a1 [1,-1,0,-5388,128464] 2 [-67:464:1]&[-40:548:1] 56826a2 [1,-1,0,-25068,-1402640] 2 [-103:332:1]&[-99:368:1]
56826b (1 curve)	1	2+ 3+ 7+ 11- 41-	2+ 3+  3 7+ 11- -1 -3  5
Curve Equation t Generators 56826b1 [1,-1,0,-17673,908747] 1 [67:115:1]
56826c (4 curves)	1	2+ 3+ 7- 11+ 41-	2+ 3+  0 7- 11+  2  6 -4
Curve Equation t Generators 56826c1 [1,-1,0,-47397,3983553] 6 [1236:36679:27] 56826c2 [1,-1,0,-47607,3946635] 6 [8380767:-258340975:185193] 56826c3 [1,-1,0,-55392,2555072] 2 [-184:2640:1] 56826c4 [1,-1,0,-425832,-105094792] 2 [-373:1506:1]
56826d (1 curve)	1	2+ 3+ 7- 11+ 41-	2+ 3+  3 7- 11+ -5  5  1
Curve Equation t Generators 56826d1 [1,-1,0,2982,-295372] 1 [91:805:1]
56826e (1 curve)	0	2+ 3+ 7- 11- 41-	2+ 3+ -1 7- 11- -5  4  0
Curve Equation t 56826e1 [1,-1,0,-1032225,-403400323] 1
56826f (1 curve)	0	2+ 3- 7+ 11+ 41+	2+ 3-  1 7+ 11+ -1 -7  3
Curve Equation t 56826f1 [1,-1,0,-29996511984,1999658719835392] 1
56826g (2 curves)	0	2+ 3- 7+ 11+ 41+	2+ 3-  4 7+ 11+ -6 -2 -4
Curve Equation t 56826g1 [1,-1,0,-2185335,1149803613] 2 56826g2 [1,-1,0,2330505,5281797213] 2
56826h (1 curve)	1	2+ 3- 7+ 11- 41+	2+ 3- -1 7+ 11-  7 -8 -4
Curve Equation t Generators 56826h1 [1,-1,0,6930,938452] 1 [44:-1174:1]
56826i (6 curves)	1	2+ 3- 7+ 11- 41+	2+ 3-  2 7+ 11- -2 -2 -4
Curve Equation t Generators 56826i1 [1,-1,0,-509706,-139937036] 2 [1175:29117:1] 56826i2 [1,-1,0,-510426,-139521308] 4 [5189:367418:1] 56826i3 [1,-1,0,-219366,-297799736] 2 [11377301:-820127563:2197] 56826i4 [1,-1,0,-813006,45355072] 4 [-846:11698:1] 56826i5 [1,-1,0,3205404,357987370] 2 [45:22390:1] 56826i6 [1,-1,0,-9672696,11561180134] 2 [1865:1493:1]
56826j (2 curves)	0	2+ 3- 7+ 11- 41-	2+ 3- -2 7+ 11-  4  6 -4
Curve Equation t 56826j1 [1,-1,0,-12888,-506304] 2 56826j2 [1,-1,0,16632,-2507760] 2
56826k (1 curve)	2	2+ 3- 7- 11- 41+	2+ 3- -1 7- 11-  1 -5 -7
Curve Equation t Generators 56826k1 [1,-1,0,2025,37579] 1 [29:-361:1]&[-13:101:1]
56826l (4 curves)	0	2+ 3- 7- 11- 41+	2+ 3-  2 7- 11-  2  6 -4
Curve Equation t 56826l1 [1,-1,0,-105246,3607060] 2 56826l2 [1,-1,0,-1315566,580445572] 4 56826l3 [1,-1,0,-953946,906265192] 2 56826l4 [1,-1,0,-21042306,37157766880] 2
56826m (1 curve)	2	2+ 3- 7- 11- 41+	2+ 3- -4 7- 11- -2 -2 -1
Curve Equation t Generators 56826m1 [1,-1,0,-17424,889744] 1 [68:-160:1]&[-108:1280:1]
56826n (1 curve)	1	2+ 3- 7- 11- 41-	2+ 3- -2 7- 11-  0  4  7
Curve Equation t Generators 56826n1 [1,-1,0,71757,1303089781] 1 [294:-36883:1]
56826o (1 curve)	0	2- 3+ 7+ 11+ 41+	2- 3+ -3 7+ 11+ -1  3  5
Curve Equation t 56826o1 [1,-1,1,-1964,-33003] 1
56826p (2 curves)	1	2- 3+ 7+ 11+ 41-	2- 3+  2 7+ 11+  2 -2 -6
Curve Equation t Generators 56826p1 [1,-1,1,-48494,-3420035] 2 [-85:329:1] 56826p2 [1,-1,1,-225614,38096893] 2 [347:1051:1]
56826q (1 curve)	1	2- 3+ 7- 11+ 41+	2- 3+  1 7- 11+ -5 -4  0
Curve Equation t Generators 56826q1 [1,-1,1,-114692,14978983] 1 [253:1325:1]
56826r (4 curves)	0	2- 3+ 7- 11- 41+	2- 3+  0 7- 11-  2 -6 -4
Curve Equation t 56826r1 [1,-1,1,-6155,-92581] 6 56826r2 [1,-1,1,-47315,3908171] 6 56826r3 [1,-1,1,-426575,-107129357] 2 56826r4 [1,-1,1,-428465,-106130681] 2
56826s (1 curve)	2	2- 3+ 7- 11- 41+	2- 3+ -3 7- 11- -5 -5  1
Curve Equation t Generators 56826s1 [1,-1,1,331,10829] 1 [19:144:1]&[-9:88:1]
56826t (1 curve)	1	2- 3- 7+ 11+ 41+	2- 3-  1 7+ 11+  0  3 -4
Curve Equation t Generators 56826t1 [1,-1,1,-4547,119107] 1 [35:26:1]
56826u (1 curve)	1	2- 3- 7+ 11+ 41+	2- 3-  1 7+ 11+ -4  3  4
Curve Equation t Generators 56826u1 [1,-1,1,-82472,7761597] 1 [28891200:-3190671:262144]
56826v (1 curve)	0	2- 3- 7+ 11+ 41-	2- 3-  2 7+ 11+ -4 -4 -7
Curve Equation t 56826v1 [1,-1,1,-3929,-127479] 1
56826w (2 curves)	0	2- 3- 7+ 11- 41+	2- 3-  2 7+ 11-  0 -6  0
Curve Equation t 56826w1 [1,-1,1,-10822289,-13700621055] 2 56826w2 [1,-1,1,-10704209,-14014288767] 2
56826x (1 curve)	0	2- 3- 7+ 11- 41+	2- 3-  3 7+ 11-  1  4  0
Curve Equation t 56826x1 [1,-1,1,-18086,-971211] 1
56826y (4 curves)	1	2- 3- 7+ 11- 41-	2- 3-  2 7+ 11-  2  2 -4
Curve Equation t Generators 56826y1 [1,-1,1,-276854,56137461] 2 [-577:5139:1] 56826y2 [1,-1,1,-285674,52376613] 4 [-579:5129:1] 56826y3 [1,-1,1,411736,267736821] 2 [-3237180:-45544071:8000] 56826y4 [1,-1,1,-1124204,-403783707] 2 [-6018:34795:8]
56826z (1 curve)	1	2- 3- 7+ 11- 41-	2- 3-  3 7+ 11-  0  1  4
Curve Equation t Generators 56826z1 [1,-1,1,-761,6689] 1 [1:76:1]
56826ba (1 curve)	0	2- 3- 7- 11+ 41+	2- 3-  2 7- 11+ -4  0 -1
Curve Equation t 56826ba1 [1,-1,1,-3513164,-2672904369] 1
56826bb (1 curve)	1	2- 3- 7- 11+ 41-	2- 3-  1 7- 11+ -2  5 -4
Curve Equation t Generators 56826bb1 [1,-1,1,-135662,19209597] 1 [141:1623:1]
56826bc (1 curve)	1	2- 3- 7- 11+ 41-	2- 3- -1 7- 11+ -1  3 -1
Curve Equation t Generators 56826bc1 [1,-1,1,225067,793136013] 1 [1043:45972:1]
56826bd (4 curves)	1	2- 3- 7- 11+ 41-	2- 3- -2 7- 11+ -2  2  8
Curve Equation t Generators 56826bd1 [1,-1,1,-22901,-812163] 4 [-127:252:1] 56826bd2 [1,-1,1,-325481,-71373819] 4 [19475:2706822:1] 56826bd3 [1,-1,1,-284891,-89866623] 2 [123467512:-1387438809:175616] 56826bd4 [1,-1,1,-5207351,-4572457959] 2 [9997768:1382043825:512]
56826be (4 curves)	1	2- 3- 7- 11+ 41-	2- 3- -2 7- 11+ -2 -6  4
Curve Equation t Generators 56826be1 [1,-1,1,-2606,-34243] 4 [-41:69:1] 56826be2 [1,-1,1,-37886,-2828419] 4 [-113:69:1] 56826be3 [1,-1,1,-34106,-3418099] 2 [265:2337:1] 56826be4 [1,-1,1,-606146,-181489363] 2 [2973:154357:1]
56826bf (2 curves)	1	2- 3- 7- 11- 41+	2- 3-  0 7- 11-  2  6 -1
Curve Equation t Generators 56826bf1 [1,-1,1,-1040,-17341] 1 [141:1549:1] 56826bf2 [1,-1,1,8185,217343] 3 [-9:382:1]
56826bg (2 curves)	1	2- 3- 7- 11- 41+	2- 3-  0 7- 11-  4 -2 -2
Curve Equation t Generators 56826bg1 [1,-1,1,1480,25751] 2 [1662:23519:8] 56826bg2 [1,-1,1,-9410,260975] 2 [-300:35461:64]
56826bh (1 curve)	1	2- 3- 7- 11- 41+	2- 3-  3 7- 11- -5  4 -8
Curve Equation t Generators 56826bh1 [1,-1,1,-99446,-13759531] 1 [1491:55387:1]
56826bi (1 curve)	2	2- 3- 7- 11- 41-	2- 3- -3 7- 11- -3 -7 -7
Curve Equation t Generators 56826bi1 [1,-1,1,-523679,146620167] 1 [617:-7932:1]&[-769:10086:1]

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