Cremona's table of elliptic curves

22848 = 2⁶ · 3 · 7 · 17

Class	r	Atkin-Lehner	Eigenvalues
22848a (1 curve)	1	2+ 3+ 7+ 17+	2+ 3+ -1 7+ -1 -1 17+ -1
Curve Equation t Generators 22848a1 [0,-1,0,79,-213] 1 [6:21:1]
22848b (4 curves)	1	2+ 3+ 7+ 17+	2+ 3+ -2 7+  0  2 17+  8
Curve Equation t Generators 22848b1 [0,-1,0,-84,294] 2 [23:100:1] 22848b2 [0,-1,0,-329,-1911] 4 [-11:16:1] 22848b3 [0,-1,0,511,-10815] 2 [31:184:1] 22848b4 [0,-1,0,-5089,-138047] 2 [103:648:1]
22848c (2 curves)	1	2+ 3+ 7+ 17+	2+ 3+ -2 7+ -6 -4 17+ -2
Curve Equation t Generators 22848c1 [0,-1,0,-24129,15063489] 2 [-151:3904:1] 22848c2 [0,-1,0,-1073889,425939553] 2 [531:2268:1]
22848d (1 curve)	1	2+ 3+ 7+ 17+	2+ 3+  3 7+  1  1 17+  2
Curve Equation t Generators 22848d1 [0,-1,0,511,-63] 1 [9:72:1]
22848e (1 curve)	0	2+ 3+ 7+ 17-	2+ 3+  1 7+  3 -1 17-  1
Curve Equation t 22848e1 [0,-1,0,2715,1269693] 1
22848f (1 curve)	0	2+ 3+ 7+ 17-	2+ 3+  1 7+ -5  5 17-  2
Curve Equation t 22848f1 [0,-1,0,-618465,187412769] 1
22848g (1 curve)	0	2+ 3+ 7+ 17-	2+ 3+ -1 7+  3  1 17- -6
Curve Equation t 22848g1 [0,-1,0,-1,-6911] 1
22848h (4 curves)	0	2+ 3+ 7+ 17-	2+ 3+  2 7+  0 -2 17-  0
Curve Equation t 22848h1 [0,-1,0,-2826577,1847044945] 2 22848h2 [0,-1,0,-45341857,117531121825] 4 22848h3 [0,-1,0,-45458497,116896156993] 2 22848h4 [0,-1,0,-725469697,7521266762497] 4
22848i (2 curves)	0	2+ 3+ 7+ 17-	2+ 3+ -2 7+  4  2 17-  2
Curve Equation t 22848i1 [0,-1,0,16,18] 2 22848i2 [0,-1,0,-89,249] 2
22848j (1 curve)	0	2+ 3+ 7+ 17-	2+ 3+ -3 7+ -5  3 17-  5
Curve Equation t 22848j1 [0,-1,0,-357,-2499] 1
22848k (1 curve)	0	2+ 3+ 7- 17+	2+ 3+  1 7-  5 -1 17+ -2
Curve Equation t 22848k1 [0,-1,0,-1825,-35231] 1
22848l (2 curves)	0	2+ 3+ 7- 17+	2+ 3+ -2 7-  0  2 17+ -6
Curve Equation t 22848l1 [0,-1,0,-229,-1211] 2 22848l2 [0,-1,0,111,-4815] 2
22848m (4 curves)	0	2+ 3+ 7- 17+	2+ 3+ -2 7-  4 -2 17+  4
Curve Equation t 22848m1 [0,-1,0,156,-1386] 2 22848m2 [0,-1,0,-1289,-14391] 4 22848m3 [0,-1,0,-6049,169345] 2 22848m4 [0,-1,0,-19649,-1053567] 2
22848n (1 curve)	0	2+ 3+ 7- 17+	2+ 3+  3 7-  3 -1 17+  7
Curve Equation t 22848n1 [0,-1,0,-169,1051] 1
22848o (3 curves)	0	2+ 3+ 7- 17+	2+ 3+  3 7- -3 -5 17+ -2
Curve Equation t 22848o1 [0,-1,0,6911,5965057] 1 22848o2 [0,-1,0,-62209,-161291519] 1 22848o3 [0,-1,0,-24428929,-46466884223] 1
22848p (1 curve)	1	2+ 3+ 7- 17-	2+ 3+  1 7- -1  3 17-  5
Curve Equation t Generators 22848p1 [0,-1,0,475,135549] 1 [-20:343:1]
22848q (4 curves)	1	2+ 3+ 7- 17-	2+ 3+  2 7-  4  2 17- -4
Curve Equation t Generators 22848q1 [0,-1,0,-3332,-72930] 2 [67:10:1] 22848q2 [0,-1,0,-3337,-72695] 4 [-33:20:1] 22848q3 [0,-1,0,-1377,-159327] 2 [81:504:1] 22848q4 [0,-1,0,-5377,28897] 4 [171:2020:1]
22848r (4 curves)	1	2+ 3+ 7- 17-	2+ 3+  2 7-  4 -6 17-  0
Curve Equation t Generators 22848r1 [0,-1,0,-477,4173] 2 [154:335:8] 22848r2 [0,-1,0,-497,3825] 4 [-8:85:1] 22848r3 [0,-1,0,863,19873] 2 [1:144:1] 22848r4 [0,-1,0,-2177,-34815] 2 [67:340:1]
22848s (2 curves)	1	2+ 3+ 7- 17-	2+ 3+  2 7- -6  4 17- -6
Curve Equation t Generators 22848s1 [0,-1,0,63,-1215] 2 [137:1600:1] 22848s2 [0,-1,0,-1377,-18207] 2 [-24:21:1]
22848t (2 curves)	1	2+ 3+ 7- 17-	2+ 3+  3 7-  3  1 17- -5
Curve Equation t Generators 22848t1 [0,-1,0,-11989,521101] 1 [60:119:1] 22848t2 [0,-1,0,53291,2068237] 1 [444:10633:1]
22848u (1 curve)	0	2+ 3- 7+ 17+	2+ 3-  1 7+ -5 -1 17+  2
Curve Equation t 22848u1 [0,1,0,-1825,35231] 1
22848v (2 curves)	0	2+ 3- 7+ 17+	2+ 3- -2 7+  0 -6 17+  2
Curve Equation t 22848v1 [0,1,0,-1349,-19509] 2 22848v2 [0,1,0,-1009,-29233] 2
22848w (4 curves)	2	2+ 3- 7+ 17+	2+ 3- -2 7+ -4 -2 17+ -4
Curve Equation t Generators 22848w1 [0,1,0,156,1386] 2 [-3:30:1]&[9:60:1] 22848w2 [0,1,0,-1289,14391] 4 [-29:168:1]&[-23:180:1] 22848w3 [0,1,0,-6049,-169345] 2 [-53:72:1]&[-37:72:1] 22848w4 [0,1,0,-19649,1053567] 2 [-161:264:1]&[-17:1176:1]
22848x (2 curves)	0	2+ 3- 7+ 17+	2+ 3- -2 7+  6  0 17+  2
Curve Equation t 22848x1 [0,1,0,-213409,42593471] 2 22848x2 [0,1,0,-3531169,2552810687] 2
22848y (1 curve)	0	2+ 3- 7+ 17+	2+ 3-  3 7+  5 -1 17+ -3
Curve Equation t 22848y1 [0,1,0,-9841909,11881474259] 1
22848z (1 curve)	0	2+ 3- 7+ 17+	2+ 3- -3 7+ -1 -1 17+ -6
Curve Equation t 22848z1 [0,1,0,-141057,-20943009] 1
22848ba (1 curve)	1	2+ 3- 7+ 17-	2+ 3- -1 7+ -3  3 17- -6
Curve Equation t Generators 22848ba1 [0,1,0,-2401,-47617] 1 [83:576:1]
22848bb (1 curve)	1	2+ 3- 7+ 17-	2+ 3- -1 7+ -3 -3 17- -3
Curve Equation t Generators 22848bb1 [0,1,0,14259,597573] 1 [228:3969:1]
22848bc (4 curves)	1	2+ 3- 7+ 17-	2+ 3-  2 7+  0  6 17-  0
Curve Equation t Generators 22848bc1 [0,1,0,63,51615] 2 [154:1965:8] 22848bc2 [0,1,0,-20417,1096095] 4 [10:945:1] 22848bc3 [0,1,0,-43457,-1857633] 2 [667:16320:1] 22848bc4 [0,1,0,-325057,71224223] 4 [17627:2339136:1]
22848bd (4 curves)	1	2+ 3- 7+ 17-	2+ 3-  2 7+ -4  2 17-  4
Curve Equation t Generators 22848bd1 [0,1,0,-3332,72930] 2 [3012:9615:64] 22848bd2 [0,1,0,-3337,72695] 4 [-19:360:1] 22848bd3 [0,1,0,-1377,159327] 4 [-46:357:1] 22848bd4 [0,1,0,-5377,-28897] 2 [-717:8360:27]
22848be (1 curve)	1	2+ 3- 7- 17+	2+ 3-  1 7-  1  1 17+ -5
Curve Equation t Generators 22848be1 [0,1,0,-380485,90207971] 1 [350:189:1]
22848bf (1 curve)	1	2+ 3- 7- 17+	2+ 3- -1 7-  1  7 17+ -3
Curve Equation t Generators 22848bf1 [0,1,0,139,723] 1 [-2:21:1]
22848bg (1 curve)	1	2+ 3- 7- 17+	2+ 3- -1 7- -5  1 17+  6
Curve Equation t Generators 22848bg1 [0,1,0,-934241,-348758529] 1 [11347:1204224:1]
22848bh (4 curves)	1	2+ 3- 7- 17+	2+ 3- -2 7-  0  2 17+ -8
Curve Equation t Generators 22848bh1 [0,1,0,-84,-294] 2 [29:150:1] 22848bh2 [0,1,0,-329,1911] 4 [-14:63:1] 22848bh3 [0,1,0,511,10815] 2 [-6:87:1] 22848bh4 [0,1,0,-5089,138047] 2 [43:24:1]
22848bi (4 curves)	1	2+ 3- 7- 17+	2+ 3- -2 7-  4 -2 17+  4
Curve Equation t Generators 22848bi1 [0,1,0,111,-369] 2 [11:48:1] 22848bi2 [0,1,0,-609,-3969] 4 [29:60:1] 22848bi3 [0,1,0,-3969,92127] 2 [22782:660365:27] 22848bi4 [0,1,0,-8769,-318945] 2 [845:24420:1]
22848bj (1 curve)	1	2+ 3- 7- 17+	2+ 3-  3 7- -1  1 17+ -2
Curve Equation t Generators 22848bj1 [0,1,0,511,63] 1 [31:216:1]
22848bk (1 curve)	0	2+ 3- 7- 17-	2+ 3-  1 7-  5  5 17- -2
Curve Equation t 22848bk1 [0,1,0,-618465,-187412769] 1
22848bl (1 curve)	0	2+ 3- 7- 17-	2+ 3- -1 7-  5  5 17-  5
Curve Equation t 22848bl1 [0,1,0,-21,-147] 1
22848bm (2 curves)	0	2+ 3- 7- 17-	2+ 3-  2 7-  2 -4 17-  2
Curve Equation t 22848bm1 [0,1,0,-1377,27135] 2 22848bm2 [0,1,0,-24417,1460223] 2
22848bn (6 curves)	0	2+ 3- 7- 17-	2+ 3-  2 7- -4  2 17- -4
Curve Equation t 22848bn1 [0,1,0,-4495617,3662779743] 2 22848bn2 [0,1,0,-5806337,1351456095] 4 22848bn3 [0,1,0,22394623,10652132703] 2 22848bn4 [0,1,0,-54978817,-155852962465] 4 22848bn5 [0,1,0,-18726657,-358277773473] 4 22848bn6 [0,1,0,-877990657,-10013724179617] 2
22848bo (2 curves)	0	2+ 3- 7- 17-	2+ 3- -2 7- -4  2 17- -2
Curve Equation t 22848bo1 [0,1,0,16,-18] 2 22848bo2 [0,1,0,-89,-249] 2
22848bp (1 curve)	0	2+ 3- 7- 17-	2+ 3- -3 7-  1 -3 17-  6
Curve Equation t 22848bp1 [0,1,0,63,-609] 1
22848bq (1 curve)	0	2- 3+ 7+ 17+	2- 3+  1 7+ -1  1 17+  5
Curve Equation t 22848bq1 [0,-1,0,-380485,-90207971] 1
22848br (1 curve)	0	2- 3+ 7+ 17+	2- 3+ -1 7+ -1  7 17+  3
Curve Equation t 22848br1 [0,-1,0,139,-723] 1
22848bs (1 curve)	0	2- 3+ 7+ 17+	2- 3+ -1 7+  5  1 17+ -6
Curve Equation t 22848bs1 [0,-1,0,-934241,348758529] 1
22848bt (4 curves)	0	2- 3+ 7+ 17+	2- 3+  2 7+ -4 -2 17+ -4
Curve Equation t 22848bt1 [0,-1,0,-132412,18589522] 2 22848bt2 [0,-1,0,-136057,17515705] 4 22848bt3 [0,-1,0,176063,85869985] 2 22848bt4 [0,-1,0,-506497,-119621183] 2
22848bu (4 curves)	2	2- 3+ 7+ 17+	2- 3+ -2 7+ -4 -2 17+ -4
Curve Equation t Generators 22848bu1 [0,-1,0,111,369] 2 [-1:16:1]&[5:32:1] 22848bu2 [0,-1,0,-609,3969] 4 [-21:84:1]&[-11:96:1] 22848bu3 [0,-1,0,-3969,-92127] 2 [-37:52:1]&[-32:33:1] 22848bu4 [0,-1,0,-8769,318945] 2 [-107:144:1]&[-43:784:1]
22848bv (1 curve)	1	2- 3+ 7+ 17-	2- 3+ -1 7+ -5  5 17- -5
Curve Equation t Generators 22848bv1 [0,-1,0,-21,147] 1 [14:49:1]
22848bw (2 curves)	1	2- 3+ 7+ 17-	2- 3+  2 7+ -2 -4 17- -2
Curve Equation t Generators 22848bw1 [0,-1,0,-1377,-27135] 2 [8237:747520:1] 22848bw2 [0,-1,0,-24417,-1460223] 2 [183:408:1]
22848bx (6 curves)	1	2- 3+ 7+ 17-	2- 3+  2 7+  4  2 17-  4
Curve Equation t Generators 22848bx1 [0,-1,0,-4495617,-3662779743] 2 [-620584263:139776768:493039] 22848bx2 [0,-1,0,-5806337,-1351456095] 4 [12484306200442535:-11509632026817442560:14688124849] 22848bx3 [0,-1,0,22394623,-10652132703] 2 [3998840521061263945213017628642323776:-201007929793308265541872327680512578055:8027462396828828012885023850233856] 22848bx4 [0,-1,0,-54978817,155852962465] 4 [1745903324768:-99871736107185:224755712] 22848bx5 [0,-1,0,-18726657,358277773473] 2 [12577984879795913:1695520212810399360:2809786849631] 22848bx6 [0,-1,0,-877990657,10013724179617] 4 [70184848:25090317:4096]
22848by (2 curves)	1	2- 3+ 7+ 17-	2- 3+ -2 7+ -2  4 17-  2
Curve Equation t Generators 22848by1 [0,-1,0,5831,-5831] 2 [129:1696:1] 22848by2 [0,-1,0,-23329,-23327] 2 [271:3672:1]
22848bz (4 curves)	1	2- 3+ 7+ 17-	2- 3+ -2 7+ -4  2 17- -8
Curve Equation t Generators 22848bz1 [0,-1,0,1036,31458] 2 [43:392:1] 22848bz2 [0,-1,0,-10969,394009] 4 [-21:784:1] 22848bz3 [0,-1,0,-44289,-3171231] 2 [-89:240:1] 22848bz4 [0,-1,0,-169729,26970433] 4 [241:72:1]
22848ca (1 curve)	1	2- 3+ 7+ 17-	2- 3+ -3 7+ -1 -3 17- -6
Curve Equation t Generators 22848ca1 [0,-1,0,63,609] 1 [5:32:1]
22848cb (2 curves)	1	2- 3+ 7- 17+	2- 3+  2 7-  2  0 17+ -6
Curve Equation t Generators 22848cb1 [0,-1,0,-57,2745] 2 [17:80:1] 22848cb2 [0,-1,0,-3297,73377] 2 [3:252:1]
22848cc (2 curves)	1	2- 3+ 7- 17+	2- 3+ -2 7-  0 -6 17+ -2
Curve Equation t Generators 22848cc1 [0,-1,0,-1349,19509] 2 [4:119:1] 22848cc2 [0,-1,0,-1009,29233] 2 [1:168:1]
22848cd (2 curves)	1	2- 3+ 7- 17+	2- 3+ -2 7- -6  0 17+ -2
Curve Equation t Generators 22848cd1 [0,-1,0,-213409,-42593471] 2 [33309:6078464:1] 22848cd2 [0,-1,0,-3531169,-2552810687] 2 [-1088:63:1]
22848ce (1 curve)	1	2- 3+ 7- 17+	2- 3+  3 7- -5 -1 17+  3
Curve Equation t Generators 22848ce1 [0,-1,0,-9841909,-11881474259] 1 [17664794935709813968540245297756909437220:2636267444682229482573887730934121955834121:777187252769039039877900011575310341]
22848cf (1 curve)	1	2- 3+ 7- 17+	2- 3+ -3 7-  1 -1 17+  6
Curve Equation t Generators 22848cf1 [0,-1,0,-141057,20943009] 1 [149:1792:1]
22848cg (1 curve)	0	2- 3+ 7- 17-	2- 3+ -1 7-  3  3 17-  6
Curve Equation t 22848cg1 [0,-1,0,-2401,47617] 1
22848ch (1 curve)	0	2- 3+ 7- 17-	2- 3+ -1 7-  3 -3 17-  3
Curve Equation t 22848ch1 [0,-1,0,14259,-597573] 1
22848ci (4 curves)	0	2- 3+ 7- 17-	2- 3+  2 7-  0  6 17-  0
Curve Equation t 22848ci1 [0,-1,0,63,-51615] 2 22848ci2 [0,-1,0,-20417,-1096095] 4 22848ci3 [0,-1,0,-43457,1857633] 4 22848ci4 [0,-1,0,-325057,-71224223] 2
22848cj (2 curves)	1	2- 3- 7+ 17+	2- 3-  2 7+ -2  0 17+  6
Curve Equation t Generators 22848cj1 [0,1,0,-57,-2745] 2 [33:180:1] 22848cj2 [0,1,0,-3297,-73377] 2 [-33:24:1]
22848ck (2 curves)	1	2- 3- 7+ 17+	2- 3- -2 7+  0  2 17+  6
Curve Equation t Generators 22848ck1 [0,1,0,-229,1211] 2 [-10:51:1] 22848ck2 [0,1,0,111,4815] 2 [3:72:1]
22848cl (3 curves)	1	2- 3- 7+ 17+	2- 3-  3 7+  3 -5 17+  2
Curve Equation t Generators 22848cl1 [0,1,0,6911,-5965057] 1 [191:1536:1] 22848cl2 [0,1,0,-62209,161291519] 1 [-385:11328:1] 22848cl3 [0,1,0,-24428929,46466884223] 1 [1419341:195753504:1331]
22848cm (1 curve)	1	2- 3- 7+ 17+	2- 3-  3 7+ -3 -1 17+ -7
Curve Equation t Generators 22848cm1 [0,1,0,-169,-1051] 1 [20:63:1]
22848cn (1 curve)	0	2- 3- 7+ 17-	2- 3-  1 7+  1  3 17- -5
Curve Equation t 22848cn1 [0,1,0,475,-135549] 1
22848co (4 curves)	0	2- 3- 7+ 17-	2- 3-  2 7+ -4 -6 17-  0
Curve Equation t 22848co1 [0,1,0,-477,-4173] 2 22848co2 [0,1,0,-497,-3825] 4 22848co3 [0,1,0,863,-19873] 2 22848co4 [0,1,0,-2177,34815] 2
22848cp (2 curves)	0	2- 3- 7+ 17-	2- 3-  2 7+  6  4 17-  6
Curve Equation t 22848cp1 [0,1,0,63,1215] 2 22848cp2 [0,1,0,-1377,18207] 2
22848cq (2 curves)	0	2- 3- 7+ 17-	2- 3-  3 7+ -3  1 17-  5
Curve Equation t 22848cq1 [0,1,0,-11989,-521101] 1 22848cq2 [0,1,0,53291,-2068237] 1
22848cr (1 curve)	0	2- 3- 7- 17+	2- 3- -1 7-  1 -1 17+  1
Curve Equation t 22848cr1 [0,1,0,79,213] 1
22848cs (4 curves)	0	2- 3- 7- 17+	2- 3-  2 7-  4 -2 17+  4
Curve Equation t 22848cs1 [0,1,0,-132412,-18589522] 2 22848cs2 [0,1,0,-136057,-17515705] 4 22848cs3 [0,1,0,176063,-85869985] 2 22848cs4 [0,1,0,-506497,119621183] 2
22848ct (2 curves)	0	2- 3- 7- 17+	2- 3- -2 7-  6 -4 17+  2
Curve Equation t 22848ct1 [0,1,0,-24129,-15063489] 2 22848ct2 [0,1,0,-1073889,-425939553] 2
22848cu (1 curve)	1	2- 3- 7- 17-	2- 3-  1 7- -3 -1 17- -1
Curve Equation t Generators 22848cu1 [0,1,0,2715,-1269693] 1 [222:3213:1]
22848cv (1 curve)	1	2- 3- 7- 17-	2- 3- -1 7- -3  1 17-  6
Curve Equation t Generators 22848cv1 [0,1,0,-1,6911] 1 [47:336:1]
22848cw (4 curves)	1	2- 3- 7- 17-	2- 3-  2 7-  0 -2 17-  0
Curve Equation t Generators 22848cw1 [0,1,0,-2826577,-1847044945] 2 [2591:90720:1] 22848cw2 [0,1,0,-45341857,-117531121825] 4 [15713:1746360:1] 22848cw3 [0,1,0,-45458497,-116896156993] 4 [-4123:21420:1] 22848cw4 [0,1,0,-725469697,-7521266762497] 2 [32849:2023560:1]
22848cx (2 curves)	1	2- 3- 7- 17-	2- 3- -2 7-  2  4 17- -2
Curve Equation t Generators 22848cx1 [0,1,0,5831,5831] 2 [35:504:1] 22848cx2 [0,1,0,-23329,23327] 2 [-97:1176:1]
22848cy (4 curves)	1	2- 3- 7- 17-	2- 3- -2 7-  4  2 17-  8
Curve Equation t Generators 22848cy1 [0,1,0,1036,-31458] 2 [217:3234:1] 22848cy2 [0,1,0,-10969,-394009] 4 [-70:189:1] 22848cy3 [0,1,0,-44289,3171231] 4 [171:792:1] 22848cy4 [0,1,0,-169729,-26970433] 2 [-238:21:1]
22848cz (1 curve)	1	2- 3- 7- 17-	2- 3- -3 7-  5  3 17- -5
Curve Equation t Generators 22848cz1 [0,1,0,-357,2499] 1 [14:21:1]

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