Cremona's table of elliptic curves

90816 = 2⁶ · 3 · 11 · 43

Class	r	Atkin-Lehner	Eigenvalues
90816a (1 curve)	1	2+ 3+ 11+ 43+	2+ 3+  0  3 11+  2 -2  3
Curve Equation t Generators 90816a1 [0,-1,0,-593,4665] 1 [-16:99:1]
90816b (1 curve)	1	2+ 3+ 11+ 43+	2+ 3+  0 -3 11+  0 -2 -3
Curve Equation t Generators 90816b1 [0,-1,0,-28113,714681] 1 [240:2781:1]
90816c (1 curve)	1	2+ 3+ 11+ 43+	2+ 3+ -1 -1 11+ -6 -7  4
Curve Equation t Generators 90816c1 [0,-1,0,51019,18208917] 1 [169:5624:1]
90816d (1 curve)	1	2+ 3+ 11+ 43+	2+ 3+  2 -1 11+  0 -4 -5
Curve Equation t Generators 90816d1 [0,-1,0,-137,657] 1 [8:3:1]
90816e (2 curves)	1	2+ 3+ 11+ 43+	2+ 3+  2 -2 11+  2 -2  4
Curve Equation t Generators 90816e1 [0,-1,0,-143617,9064705] 2 [107151:11976400:4913] 90816e2 [0,-1,0,511743,68178177] 2 [12353:1375232:1]
90816f (1 curve)	1	2+ 3+ 11+ 43+	2+ 3+  2 -5 11+ -4  4  7
Curve Equation t Generators 90816f1 [0,-1,0,-231737,43015137] 1 [368:2727:1]
90816g (1 curve)	1	2+ 3+ 11+ 43+	2+ 3+  3 -3 11+  0 -5  0
Curve Equation t Generators 90816g1 [0,-1,0,1871,77617] 1 [219:3308:1]
90816h (2 curves)	2	2+ 3+ 11+ 43-	2+ 3+  0 -2 11+  4 -2  0
Curve Equation t Generators 90816h1 [0,-1,0,-81353,8958345] 2 [3:2952:1]&[133:688:1] 90816h2 [0,-1,0,-81313,8967553] 2 [-243:3784:1]&[144:473:1]
90816i (1 curve)	0	2+ 3+ 11+ 43-	2+ 3+  1  1 11+ -4 -1  4
Curve Equation t 90816i1 [0,-1,0,-1158145,480112513] 1
90816j (1 curve)	2	2+ 3+ 11+ 43-	2+ 3+  1 -1 11+  0 -3 -8
Curve Equation t Generators 90816j1 [0,-1,0,-1165,15709] 1 [-15:172:1]&[20:3:1]
90816k (1 curve)	0	2+ 3+ 11+ 43-	2+ 3+  1 -3 11+ -4  3  4
Curve Equation t 90816k1 [0,-1,0,-3745,-124127] 1
90816l (1 curve)	0	2+ 3+ 11+ 43-	2+ 3+  1 -5 11+  6 -3  4
Curve Equation t 90816l1 [0,-1,0,-2585,62073] 1
90816m (1 curve)	2	2+ 3+ 11+ 43-	2+ 3+ -2  1 11+ -4  4 -3
Curve Equation t Generators 90816m1 [0,-1,0,-3849,93105] 1 [32:41:1]&[48:129:1]
90816n (1 curve)	0	2+ 3+ 11+ 43-	2+ 3+ -3  5 11+  0  7  4
Curve Equation t 90816n1 [0,-1,0,-65697,27355809] 1
90816o (2 curves)	0	2+ 3+ 11- 43+	2+ 3+  0  5 11-  4  6  1
Curve Equation t 90816o1 [0,-1,0,-1892473,1002677569] 1 90816o2 [0,-1,0,-2976073,-269425487] 1
90816p (2 curves)	0	2+ 3+ 11- 43+	2+ 3+ -3 -1 11- -2 -3  4
Curve Equation t 90816p1 [0,-1,0,523,-1131] 1 90816p2 [0,-1,0,-8117,-290571] 1
90816q (2 curves)	0	2+ 3+ 11- 43+	2+ 3+ -3 -1 11-  4 -3  4
Curve Equation t 90816q1 [0,-1,0,-12489697,16998518881] 1 90816q2 [0,-1,0,7200863,63784404001] 1
90816r (1 curve)	2	2+ 3+ 11- 43+	2+ 3+ -3 -3 11- -4  7  0
Curve Equation t Generators 90816r1 [0,-1,0,83,541] 1 [-3:16:1]&[9:44:1]
90816s (1 curve)	1	2+ 3+ 11- 43-	2+ 3+  0 -1 11-  0 -2 -5
Curve Equation t Generators 90816s1 [0,-1,0,-9113,329793] 1 [-854:2187:8]
90816t (2 curves)	1	2+ 3+ 11- 43-	2+ 3+  0 -4 11-  0 -2  4
Curve Equation t Generators 90816t1 [0,-1,0,-4993,-124031] 2 [-49:24:1] 90816t2 [0,-1,0,5247,-576639] 2 [225:3456:1]
90816u (1 curve)	1	2+ 3+ 11- 43-	2+ 3+ -1 -1 11- -2  1 -4
Curve Equation t Generators 90816u1 [0,-1,0,39,57] 1 [-1:4:1]
90816v (1 curve)	1	2+ 3+ 11- 43-	2+ 3+ -1 -3 11-  2  3  4
Curve Equation t Generators 90816v1 [0,-1,0,-21,-171] 1 [17:64:1]
90816w (6 curves)	1	2+ 3+ 11- 43-	2+ 3+  2  0 11-  2 -6  4
Curve Equation t Generators 90816w1 [0,-1,0,-465217,122231617] 2 [-10059:421496:27] 90816w2 [0,-1,0,-547137,76307265] 4 [-2183356065:-84196219240:5545233] 90816w3 [0,-1,0,1874623,565987137] 2 [908135915281813512404738:-51937180635539333975257305:380416536105704789608] 90816w4 [0,-1,0,-4279617,-3353841855] 4 [-654571781:-3784605440:571787] 90816w5 [0,-1,0,-97857,-9627318207] 2 [17103629721920:962025659904331:4451411125] 90816w6 [0,-1,0,-68181057,-216669628863] 2 [-282901236785344:10120904034395:59364641701]
90816x (1 curve)	1	2+ 3+ 11- 43-	2+ 3+  2  1 11- -4  4  1
Curve Equation t Generators 90816x1 [0,-1,0,-177,153] 1 [-6:135:8]
90816y (1 curve)	1	2+ 3+ 11- 43-	2+ 3+  3 -1 11-  2 -3 -4
Curve Equation t Generators 90816y1 [0,-1,0,-357849,-82297863] 1 [53999:12547228:1]
90816z (1 curve)	0	2+ 3- 11+ 43+	2+ 3-  0  1 11+ -4 -2  1
Curve Equation t 90816z1 [0,1,0,-1633,21767] 1
90816ba (1 curve)	0	2+ 3- 11+ 43+	2+ 3- -1  1 11+ -2  1  4
Curve Equation t 90816ba1 [0,1,0,39,-57] 1
90816bb (1 curve)	0	2+ 3- 11+ 43+	2+ 3- -1 -1 11+  4  3 -4
Curve Equation t 90816bb1 [0,1,0,-1761,34431] 1
90816bc (1 curve)	0	2+ 3- 11+ 43+	2+ 3-  3  1 11+  2 -3  4
Curve Equation t 90816bc1 [0,1,0,-357849,82297863] 1
90816bd (1 curve)	1	2+ 3- 11+ 43-	2+ 3-  0  1 11+ -6  6  1
Curve Equation t Generators 90816bd1 [0,1,0,-2593,49895] 1 [26:27:1]
90816be (1 curve)	1	2+ 3- 11+ 43-	2+ 3-  1  3 11+  4  3  0
Curve Equation t Generators 90816be1 [0,1,0,175,269391] 1 [-11:516:1]
90816bf (4 curves)	1	2+ 3- 11+ 43-	2+ 3-  2 -4 11+  2  2  4
Curve Equation t Generators 90816bf1 [0,1,0,-20817,1149135] 2 [11:960:1] 90816bf2 [0,1,0,-20897,1139775] 4 [291:25840:27] 90816bf3 [0,1,0,-1537,3188063] 4 [427:8976:1] 90816bf4 [0,1,0,-41537,-1506273] 2 [-7533519:63551440:185193]
90816bg (1 curve)	1	2+ 3- 11+ 43-	2+ 3-  4 -1 11+  0 -6  7
Curve Equation t Generators 90816bg1 [0,1,0,-11441,467127] 1 [58:45:1]
90816bh (2 curves)	1	2+ 3- 11- 43+	2+ 3-  0  2 11-  4 -2  0
Curve Equation t Generators 90816bh1 [0,1,0,-81353,-8958345] 2 [22148992437:100967927016:65450827] 90816bh2 [0,1,0,-81313,-8967553] 2 [1547351:36999864:2197]
90816bi (1 curve)	1	2+ 3- 11- 43+	2+ 3-  1  5 11-  6 -3 -4
Curve Equation t Generators 90816bi1 [0,1,0,-2585,-62073] 1 [121:1188:1]
90816bj (1 curve)	1	2+ 3- 11- 43+	2+ 3- -3  1 11-  0  1 -8
Curve Equation t Generators 90816bj1 [0,1,0,-177,879] 1 [5:12:1]
90816bk (1 curve)	2	2+ 3- 11- 43-	2+ 3- -1 -1 11- -4 -5  8
Curve Equation t Generators 90816bk1 [0,1,0,-90541,14650163] 1 [-361:648:1]&[206:-2187:1]
90816bl (1 curve)	0	2+ 3- 11- 43-	2+ 3-  3  1 11-  4 -7 -4
Curve Equation t 90816bl1 [0,1,0,-129,-4257] 1
90816bm (1 curve)	0	2+ 3- 11- 43-	2+ 3-  4 -1 11-  4 -6 -5
Curve Equation t 90816bm1 [0,1,0,-41,-33] 1
90816bn (1 curve)	0	2+ 3- 11- 43-	2+ 3-  4  5 11- -6  2 -7
Curve Equation t 90816bn1 [0,1,0,-3481,-79153] 1
90816bo (2 curves)	2	2+ 3- 11- 43-	2+ 3- -4 -4 11- -4 -2 -4
Curve Equation t Generators 90816bo1 [0,1,0,-5665,162239] 2 [-85:192:1]&[25:192:1] 90816bo2 [0,1,0,-5505,171999] 2 [-54:561:1]&[-21:528:1]
90816bp (1 curve)	0	2- 3+ 11+ 43+	2- 3+ -1  1 11+ -4 -5 -8
Curve Equation t 90816bp1 [0,-1,0,-90541,-14650163] 1
90816bq (4 curves)	0	2- 3+ 11+ 43+	2- 3+  2  4 11+  6  6  4
Curve Equation t 90816bq1 [0,-1,0,388,-5478] 2 90816bq2 [0,-1,0,-3257,-58695] 4 90816bq3 [0,-1,0,-15137,665985] 2 90816bq4 [0,-1,0,-49697,-4247583] 2
90816br (1 curve)	0	2- 3+ 11+ 43+	2- 3+  3 -1 11+  4 -7  4
Curve Equation t 90816br1 [0,-1,0,-129,4257] 1
90816bs (1 curve)	0	2- 3+ 11+ 43+	2- 3+  4  1 11+  4 -6  5
Curve Equation t 90816bs1 [0,-1,0,-41,33] 1
90816bt (1 curve)	0	2- 3+ 11+ 43+	2- 3+  4 -5 11+ -6  2  7
Curve Equation t 90816bt1 [0,-1,0,-3481,79153] 1
90816bu (2 curves)	0	2- 3+ 11+ 43+	2- 3+ -4  4 11+ -4 -2  4
Curve Equation t 90816bu1 [0,-1,0,-5665,-162239] 2 90816bu2 [0,-1,0,-5505,-171999] 2
90816bv (1 curve)	1	2- 3+ 11+ 43-	2- 3+ -3 -1 11+  0  1  8
Curve Equation t Generators 90816bv1 [0,-1,0,-177,-879] 1 [47:304:1]
90816bw (1 curve)	1	2- 3+ 11- 43+	2- 3+  0 -1 11- -6  6 -1
Curve Equation t Generators 90816bw1 [0,-1,0,-2593,-49895] 1 [-3520:81:125]
90816bx (1 curve)	1	2- 3+ 11- 43+	2- 3+  1 -3 11-  4  3  0
Curve Equation t Generators 90816bx1 [0,-1,0,175,-269391] 1 [249067:2401264:2197]
90816by (4 curves)	1	2- 3+ 11- 43+	2- 3+  2  4 11-  2  2 -4
Curve Equation t Generators 90816by1 [0,-1,0,-20817,-1149135] 2 [1250998:25135825:2744] 90816by2 [0,-1,0,-20897,-1139775] 4 [1784:75075:1] 90816by3 [0,-1,0,-1537,-3188063] 2 [3914872:165124575:2197] 90816by4 [0,-1,0,-41537,1506273] 4 [-3126897:39711088:19683]
90816bz (1 curve)	1	2- 3+ 11- 43+	2- 3+  4  1 11-  0 -6 -7
Curve Equation t Generators 90816bz1 [0,-1,0,-11441,-467127] 1 [392:7425:1]
90816ca (1 curve)	2	2- 3+ 11- 43-	2- 3+  0 -1 11- -4 -2 -1
Curve Equation t Generators 90816ca1 [0,-1,0,-1633,-21767] 1 [64:-363:1]&[-16:3:1]
90816cb (1 curve)	0	2- 3+ 11- 43-	2- 3+ -1  1 11-  4  3  4
Curve Equation t 90816cb1 [0,-1,0,-1761,-34431] 1
90816cc (1 curve)	1	2- 3- 11+ 43+	2- 3-  0  1 11+  0 -2  5
Curve Equation t Generators 90816cc1 [0,1,0,-9113,-329793] 1 [-62:27:1]
90816cd (2 curves)	1	2- 3- 11+ 43+	2- 3-  0  4 11+  0 -2 -4
Curve Equation t Generators 90816cd1 [0,1,0,-4993,124031] 2 [970:9177:8] 90816cd2 [0,1,0,5247,576639] 2 [-30:627:1]
90816ce (1 curve)	1	2- 3- 11+ 43+	2- 3- -1  3 11+  2  3 -4
Curve Equation t Generators 90816ce1 [0,1,0,-21,171] 1 [3:12:1]
90816cf (6 curves)	1	2- 3- 11+ 43+	2- 3-  2  0 11+  2 -6 -4
Curve Equation t Generators 90816cf1 [0,1,0,-465217,-122231617] 2 [23242:1214745:8] 90816cf2 [0,1,0,-547137,-76307265] 4 [930:14835:1] 90816cf3 [0,1,0,1874623,-565987137] 2 [59930:2631591:125] 90816cf4 [0,1,0,-4279617,3353841855] 4 [6798789:-63855360:6859] 90816cf5 [0,1,0,-97857,9627318207] 2 [-193942211013426:15481423867397685:170307838007] 90816cf6 [0,1,0,-68181057,216669628863] 2 [4047:83904:1]
90816cg (1 curve)	1	2- 3- 11+ 43+	2- 3-  2 -1 11+ -4  4 -1
Curve Equation t Generators 90816cg1 [0,1,0,-177,-153] 1 [-6:27:1]
90816ch (2 curves)	0	2- 3- 11+ 43-	2- 3-  0 -5 11+  4  6 -1
Curve Equation t 90816ch1 [0,1,0,-1892473,-1002677569] 1 90816ch2 [0,1,0,-2976073,269425487] 1
90816ci (2 curves)	2	2- 3- 11+ 43-	2- 3- -3  1 11+ -2 -3 -4
Curve Equation t Generators 90816ci1 [0,1,0,523,1131] 1 [-2:9:1]&[7:72:1] 90816ci2 [0,1,0,-8117,290571] 1 [-98:393:1]&[3:516:1]
90816cj (2 curves)	0	2- 3- 11+ 43-	2- 3- -3  1 11+  4 -3 -4
Curve Equation t 90816cj1 [0,1,0,-12489697,-16998518881] 1 90816cj2 [0,1,0,7200863,-63784404001] 1
90816ck (1 curve)	0	2- 3- 11+ 43-	2- 3- -3  3 11+ -4  7  0
Curve Equation t 90816ck1 [0,1,0,83,-541] 1
90816cl (1 curve)	0	2- 3- 11- 43+	2- 3-  1  1 11-  0 -3  8
Curve Equation t 90816cl1 [0,1,0,-1165,-15709] 1
90816cm (1 curve)	0	2- 3- 11- 43+	2- 3-  1 -1 11- -4 -1 -4
Curve Equation t 90816cm1 [0,1,0,-1158145,-480112513] 1
90816cn (1 curve)	0	2- 3- 11- 43+	2- 3-  1  3 11- -4  3 -4
Curve Equation t 90816cn1 [0,1,0,-3745,124127] 1
90816co (1 curve)	0	2- 3- 11- 43+	2- 3- -2 -1 11- -4  4  3
Curve Equation t 90816co1 [0,1,0,-3849,-93105] 1
90816cp (1 curve)	0	2- 3- 11- 43+	2- 3- -3 -5 11-  0  7 -4
Curve Equation t 90816cp1 [0,1,0,-65697,-27355809] 1
90816cq (1 curve)	1	2- 3- 11- 43-	2- 3-  0  3 11-  0 -2  3
Curve Equation t Generators 90816cq1 [0,1,0,-28113,-714681] 1 [-150:387:1]
90816cr (1 curve)	1	2- 3- 11- 43-	2- 3-  0 -3 11-  2 -2 -3
Curve Equation t Generators 90816cr1 [0,1,0,-593,-4665] 1 [-14:33:1]
90816cs (1 curve)	1	2- 3- 11- 43-	2- 3- -1  1 11- -6 -7 -4
Curve Equation t Generators 90816cs1 [0,1,0,51019,-18208917] 1 [283:4356:1]
90816ct (1 curve)	1	2- 3- 11- 43-	2- 3-  2  1 11-  0 -4  5
Curve Equation t Generators 90816ct1 [0,1,0,-137,-657] 1 [-186:73:27]
90816cu (2 curves)	1	2- 3- 11- 43-	2- 3-  2  2 11-  2 -2 -4
Curve Equation t Generators 90816cu1 [0,1,0,-143617,-9064705] 2 [27524:190905:64] 90816cu2 [0,1,0,511743,-68178177] 2 [657:23496:1]
90816cv (4 curves)	1	2- 3- 11- 43-	2- 3-  2 -4 11-  6  6 -4
Curve Equation t Generators 90816cv1 [0,1,0,388,5478] 2 [362:2745:8] 90816cv2 [0,1,0,-3257,58695] 4 [-29:360:1] 90816cv3 [0,1,0,-15137,-665985] 2 [-62:195:1] 90816cv4 [0,1,0,-49697,4247583] 2 [-113:2904:1]
90816cw (1 curve)	1	2- 3- 11- 43-	2- 3-  2  5 11- -4  4 -7
Curve Equation t Generators 90816cw1 [0,1,0,-231737,-43015137] 1 [-278:9:1]
90816cx (1 curve)	1	2- 3- 11- 43-	2- 3-  3  3 11-  0 -5  0
Curve Equation t Generators 90816cx1 [0,1,0,1871,-77617] 1 [41:264:1]

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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