Cremona's table of elliptic curves

56400 = 2⁴ · 3 · 5² · 47

Class	r	Atkin-Lehner	Eigenvalues
56400a (1 curve)	1	2+ 3+ 5+ 47+	2+ 3+ 5+  3 -1  2 -2 -2
Curve Equation t Generators 56400a1 [0,-1,0,-24633,1415637] 1 [-147092:2217619:1331]
56400b (2 curves)	0	2+ 3+ 5+ 47-	2+ 3+ 5+  0  2 -4 -2 -8
Curve Equation t 56400b1 [0,-1,0,-10944608,-17741514288] 2 56400b2 [0,-1,0,-188091608,-992758602288] 2
56400c (4 curves)	0	2+ 3+ 5+ 47-	2+ 3+ 5+  0  4 -2 -6  4
Curve Equation t 56400c1 [0,-1,0,-10783,434062] 2 56400c2 [0,-1,0,-13908,165312] 4 56400c3 [0,-1,0,53592,1245312] 4 56400c4 [0,-1,0,-131408,-18164688] 2
56400d (2 curves)	0	2+ 3+ 5+ 47-	2+ 3+ 5+  0  6  0  6  4
Curve Equation t 56400d1 [0,-1,0,192,-3888] 2 56400d2 [0,-1,0,-2808,-51888] 2
56400e (2 curves)	0	2+ 3+ 5+ 47-	2+ 3+ 5+ -2  2  6  2  4
Curve Equation t 56400e1 [0,-1,0,6992,218512] 2 56400e2 [0,-1,0,-40008,2098512] 2
56400f (4 curves)	0	2+ 3+ 5+ 47-	2+ 3+ 5+  4  0 -6 -2 -4
Curve Equation t 56400f1 [0,-1,0,-70508,-8275488] 2 56400f2 [0,-1,0,-1175008,-489837488] 4 56400f3 [0,-1,0,-1222008,-448477488] 2 56400f4 [0,-1,0,-18800008,-31368837488] 2
56400g (1 curve)	0	2+ 3+ 5+ 47-	2+ 3+ 5+ -5 -3  6 -2  2
Curve Equation t 56400g1 [0,-1,0,-233,837] 1
56400h (1 curve)	2	2+ 3+ 5- 47+	2+ 3+ 5-  1  0 -3 -4 -4
Curve Equation t Generators 56400h1 [0,-1,0,-1208,912] 1 [-8:-100:1]&[-14:122:1]
56400i (1 curve)	0	2+ 3+ 5- 47+	2+ 3+ 5- -1  4 -1 -3 -5
Curve Equation t 56400i1 [0,-1,0,-6128,-184848] 1
56400j (1 curve)	0	2+ 3+ 5- 47+	2+ 3+ 5-  5  0  5  2  0
Curve Equation t 56400j1 [0,-1,0,-311208,-66719088] 1
56400k (1 curve)	1	2+ 3+ 5- 47-	2+ 3+ 5- -1 -4 -5 -1 -1
Curve Equation t Generators 56400k1 [0,-1,0,12792,402912] 1 [142:2250:1]
56400l (2 curves)	1	2+ 3+ 5- 47-	2+ 3+ 5- -2  2  2 -2  0
Curve Equation t Generators 56400l1 [0,-1,0,3352,5332992] 2 [-74:2162:1] 56400l2 [0,-1,0,-438448,109597792] 2 [866:19458:1]
56400m (2 curves)	1	2+ 3+ 5- 47-	2+ 3+ 5- -4  0  6  6  2
Curve Equation t Generators 56400m1 [0,-1,0,-228,-1248] 2 [41:238:1] 56400m2 [0,-1,0,-128,-2448] 2 [22:70:1]
56400n (4 curves)	0	2+ 3- 5+ 47+	2+ 3- 5+  0  0 -2 -2  8
Curve Equation t 56400n1 [0,1,0,7092,-133812] 2 56400n2 [0,1,0,-33408,-1186812] 4 56400n3 [0,1,0,-258408,49663188] 2 56400n4 [0,1,0,-456408,-118780812] 2
56400o (1 curve)	0	2+ 3- 5+ 47+	2+ 3- 5+ -1 -5  4  4  2
Curve Equation t 56400o1 [0,1,0,-114433,-14935237] 1
56400p (1 curve)	0	2+ 3- 5+ 47+	2+ 3- 5+  2 -2  1 -2  2
Curve Equation t 56400p1 [0,1,0,-151633,22676363] 1
56400q (2 curves)	0	2+ 3- 5+ 47+	2+ 3- 5+ -4  4 -2 -2  2
Curve Equation t 56400q1 [0,1,0,292,588] 2 56400q2 [0,1,0,-1208,3588] 2
56400r (1 curve)	1	2+ 3- 5+ 47-	2+ 3- 5+ -1  0  3  4 -4
Curve Equation t Generators 56400r1 [0,1,0,-48,-12] 1 [-1:6:1]
56400s (1 curve)	1	2+ 3- 5+ 47-	2+ 3- 5+ -1  1  4  4  6
Curve Equation t Generators 56400s1 [0,1,0,-2033,-34437] 1 [-26:39:1]
56400t (1 curve)	1	2+ 3- 5+ 47-	2+ 3- 5+  2  2 -1  2  2
Curve Equation t Generators 56400t1 [0,1,0,-33,-4437] 1 [38:225:1]
56400u (2 curves)	1	2+ 3- 5+ 47-	2+ 3- 5+ -2  6 -2 -2  0
Curve Equation t Generators 56400u1 [0,1,0,-2008,109988] 2 [32:-282:1] 56400u2 [0,1,0,-49008,4151988] 2 [78:900:1]
56400v (4 curves)	1	2+ 3- 5+ 47-	2+ 3- 5+ -4 -4  2  2 -4
Curve Equation t Generators 56400v1 [0,1,0,-475908,126208188] 2 [399:36:1] 56400v2 [0,1,0,-476408,125929188] 4 [-122:13500:1] 56400v3 [0,1,0,-241408,250479188] 2 [-28:16038:1] 56400v4 [0,1,0,-719408,-16468812] 2 [-602:14100:1]
56400w (1 curve)	1	2+ 3- 5+ 47-	2+ 3- 5+ -5  0 -5 -2  0
Curve Equation t Generators 56400w1 [0,1,0,-12448,-538732] 1 [-518:3:8]
56400x (1 curve)	1	2+ 3- 5- 47+	2+ 3- 5-  1 -4  5  1 -1
Curve Equation t Generators 56400x1 [0,1,0,512,3428] 1 [8:-90:1]
56400y (2 curves)	1	2+ 3- 5- 47+	2+ 3- 5-  2  2 -2  2  0
Curve Equation t Generators 56400y1 [0,1,0,83792,666791588] 2 [-592:20250:1] 56400y2 [0,1,0,-10961208,13677801588] 2 [1602:15228:1]
56400z (2 curves)	1	2+ 3- 5- 47+	2+ 3- 5-  4  0 -6 -6  2
Curve Equation t Generators 56400z1 [0,1,0,-5708,-167412] 2 [669185643:-10858637952:2352637] 56400z2 [0,1,0,-3208,-312412] 2 [685672:4205250:6859]
56400ba (1 curve)	0	2+ 3- 5- 47-	2+ 3- 5-  1  4  1  3 -5
Curve Equation t 56400ba1 [0,1,0,-153208,-23412412] 1
56400bb (4 curves)	0	2- 3+ 5+ 47+	2- 3+ 5+  0  0 -2 -2  0
Curve Equation t 56400bb1 [0,-1,0,23192,672112] 2 56400bb2 [0,-1,0,-104808,5792112] 4 56400bb3 [0,-1,0,-856808,-301023888] 2 56400bb4 [0,-1,0,-1400808,638240112] 2
56400bc (1 curve)	0	2- 3+ 5+ 47+	2- 3+ 5+  1  4 -1  7 -7
Curve Equation t 56400bc1 [0,-1,0,-1559508,750120012] 1
56400bd (1 curve)	0	2- 3+ 5+ 47+	2- 3+ 5+  1 -4  3  3  5
Curve Equation t 56400bd1 [0,-1,0,-5508,-167988] 1
56400be (1 curve)	0	2- 3+ 5+ 47+	2- 3+ 5+ -1 -2  5 -7 -3
Curve Equation t 56400be1 [0,-1,0,-167509408,834721261312] 1
56400bf (1 curve)	0	2- 3+ 5+ 47+	2- 3+ 5+ -1  4 -1  2  0
Curve Equation t 56400bf1 [0,-1,0,-808,7792] 1
56400bg (1 curve)	0	2- 3+ 5+ 47+	2- 3+ 5+  2 -2 -1  2  6
Curve Equation t 56400bg1 [0,-1,0,-2312533,-1390710563] 1
56400bh (2 curves)	0	2- 3+ 5+ 47+	2- 3+ 5+  2 -2  2  2  0
Curve Equation t 56400bh1 [0,-1,0,-3208408,2213347312] 2 56400bh2 [0,-1,0,-51336408,141592035312] 2
56400bi (1 curve)	0	2- 3+ 5+ 47+	2- 3+ 5+ -2 -2  5 -2  2
Curve Equation t 56400bi1 [0,-1,0,23867,-4779863] 1
56400bj (1 curve)	0	2- 3+ 5+ 47+	2- 3+ 5+ -2  5  6  0 -4
Curve Equation t 56400bj1 [0,-1,0,-14528,678912] 1
56400bk (1 curve)	0	2- 3+ 5+ 47+	2- 3+ 5+ -2 -5  2  4 -4
Curve Equation t 56400bk1 [0,-1,0,-20208,2238912] 1
56400bl (1 curve)	0	2- 3+ 5+ 47+	2- 3+ 5+ -3  3  4 -8  6
Curve Equation t 56400bl1 [0,-1,0,-533,1437] 1
56400bm (2 curves)	0	2- 3+ 5+ 47+	2- 3+ 5+  4  2  0 -6 -4
Curve Equation t 56400bm1 [0,-1,0,-55008,8128512] 2 56400bm2 [0,-1,0,-1027008,400816512] 2
56400bn (4 curves)	0	2- 3+ 5+ 47+	2- 3+ 5+  4  4 -2 -2 -8
Curve Equation t 56400bn1 [0,-1,0,-6408,195312] 2 56400bn2 [0,-1,0,-14408,-380688] 4 56400bn3 [0,-1,0,45592,-2780688] 2 56400bn4 [0,-1,0,-202408,-34972688] 2
56400bo (2 curves)	0	2- 3+ 5+ 47+	2- 3+ 5+ -4 -2 -4  2  0
Curve Equation t 56400bo1 [0,-1,0,6592,-242688] 2 56400bo2 [0,-1,0,-41408,-2354688] 2
56400bp (1 curve)	0	2- 3+ 5+ 47+	2- 3+ 5+ -5 -2 -5 -5  7
Curve Equation t 56400bp1 [0,-1,0,-18718408,-37988572688] 1
56400bq (2 curves)	1	2- 3+ 5+ 47-	2- 3+ 5+  0  2  4 -2  4
Curve Equation t Generators 56400bq1 [0,-1,0,129592,54051312] 2 [-20270:670194:125] 56400bq2 [0,-1,0,-1598408,703779312] 2 [12052:1316000:1]
56400br (1 curve)	1	2- 3+ 5+ 47-	2- 3+ 5+ -1  2 -1 -3  7
Curve Equation t Generators 56400br1 [0,-1,0,2992,-487488] 1 [82:550:1]
56400bs (1 curve)	1	2- 3+ 5+ 47-	2- 3+ 5+ -1 -3  2  6  6
Curve Equation t Generators 56400bs1 [0,-1,0,-5533,159937] 1 [41:18:1]
56400bt (1 curve)	1	2- 3+ 5+ 47-	2- 3+ 5+  3 -4  1 -2 -8
Curve Equation t Generators 56400bt1 [0,-1,0,-75208,7948912] 1 [153:16:1]
56400bu (1 curve)	1	2- 3+ 5+ 47-	2- 3+ 5+  3 -4  1  4  1
Curve Equation t Generators 56400bu1 [0,-1,0,-253,-25343] 1 [33:34:1]
56400bv (2 curves)	1	2- 3+ 5+ 47-	2- 3+ 5+  4  0 -6  6 -2
Curve Equation t Generators 56400bv1 [0,-1,0,-3208,100912] 2 [-14:378:1] 56400bv2 [0,-1,0,-57208,5284912] 2 [186:1022:1]
56400bw (2 curves)	1	2- 3+ 5+ 47-	2- 3+ 5+ -4  0  2  6 -6
Curve Equation t Generators 56400bw1 [0,-1,0,-6008,-217488] 2 [98:354:1] 56400bw2 [0,-1,0,-102008,-12505488] 2 [3298:188446:1]
56400bx (1 curve)	1	2- 3+ 5+ 47-	2- 3+ 5+ -5 -6 -3  3  1
Curve Equation t Generators 56400bx1 [0,-1,0,-48008,-338641488] 1 [802:11750:1]
56400by (2 curves)	1	2- 3+ 5- 47+	2- 3+ 5-  0  0 -2 -2  4
Curve Equation t Generators 56400by1 [0,-1,0,-124208,17406912] 2 [-158:5750:1] 56400by2 [0,-1,0,-2004208,1092766912] 2 [1346:28842:1]
56400bz (2 curves)	1	2- 3+ 5- 47+	2- 3+ 5-  1  0  5  6 -8
Curve Equation t Generators 56400bz1 [0,-1,0,-3039208,1980076912] 1 [-183:50300:1] 56400bz2 [0,-1,0,-244149208,1468436476912] 1 [12719687817:-48761208316:1442897]
56400ca (1 curve)	1	2- 3+ 5- 47+	2- 3+ 5- -1 -4 -1  4 -5
Curve Equation t Generators 56400ca1 [0,-1,0,4667,-98963] 1 [186:1175:8]
56400cb (1 curve)	1	2- 3+ 5- 47+	2- 3+ 5-  3  0  1 -5  1
Curve Equation t Generators 56400cb1 [0,-1,0,-121728,-16846848] 1 [9334666:399351230:4913]
56400cc (1 curve)	1	2- 3+ 5- 47+	2- 3+ 5-  4  0  3  2 -2
Curve Equation t Generators 56400cc1 [0,-1,0,-893,-17343] 1 [346:1215:8]
56400cd (1 curve)	1	2- 3+ 5- 47+	2- 3+ 5- -4  0  5  6  2
Curve Equation t Generators 56400cd1 [0,-1,0,-7333,-254963] 1 [148:1371:1]
56400ce (1 curve)	1	2- 3+ 5- 47+	2- 3+ 5- -5  0  3 -7 -5
Curve Equation t Generators 56400ce1 [0,-1,0,-3208,124912] 1 [42:250:1]
56400cf (2 curves)	0	2- 3+ 5- 47-	2- 3+ 5-  0  0 -2  2 -2
Curve Equation t 56400cf1 [0,-1,0,-1688,18672] 2 56400cf2 [0,-1,0,4712,121072] 2
56400cg (2 curves)	0	2- 3+ 5- 47-	2- 3+ 5-  1  0 -1  0  4
Curve Equation t 56400cg1 [0,-1,0,-377208,54492912] 1 56400cg2 [0,-1,0,-27107208,54330972912] 1
56400ch (1 curve)	0	2- 3+ 5- 47-	2- 3+ 5-  1  0  7 -4  4
Curve Equation t 56400ch1 [0,-1,0,-368008,86044912] 1
56400ci (1 curve)	0	2- 3+ 5- 47-	2- 3+ 5- -3  0 -5  6  0
Curve Equation t 56400ci1 [0,-1,0,-47208,-3347088] 1
56400cj (2 curves)	1	2- 3- 5+ 47+	2- 3- 5+  0  0 -4  0 -6
Curve Equation t Generators 56400cj1 [0,1,0,-1133,14238] 2 [-474:4600:27] 56400cj2 [0,1,0,-508,30488] 2 [43:300:1]
56400ck (4 curves)	1	2- 3- 5+ 47+	2- 3- 5+  0 -4  2 -2  0
Curve Equation t Generators 56400ck1 [0,1,0,-808,-25612] 2 [62:408:1] 56400ck2 [0,1,0,-18808,-997612] 4 [212:2142:1] 56400ck3 [0,1,0,-24808,-313612] 2 [74116:724506:343] 56400ck4 [0,1,0,-300808,-63601612] 2 [33924:1060766:27]
56400cl (2 curves)	1	2- 3- 5+ 47+	2- 3- 5+ -1  0  1  0  4
Curve Equation t Generators 56400cl1 [0,1,0,-15088,429908] 1 [122:-648:1] 56400cl2 [0,1,0,-1084288,434214068] 1 [602:48:1]
56400cm (2 curves)	1	2- 3- 5+ 47+	2- 3- 5+ -1  0  1  3  1
Curve Equation t Generators 56400cm1 [0,1,0,150092,-16672312] 1 [323:8100:1] 56400cm2 [0,1,0,-1550908,1003927688] 1 [443:20100:1]
56400cn (1 curve)	1	2- 3- 5+ 47+	2- 3- 5+ -1  0 -1  1  7
Curve Equation t Generators 56400cn1 [0,1,0,92,7688] 1 [23:150:1]
56400co (1 curve)	1	2- 3- 5+ 47+	2- 3- 5+ -1  0 -7  4  4
Curve Equation t Generators 56400co1 [0,1,0,-9200208,10737213588] 1 [3042:104448:1]
56400cp (2 curves)	1	2- 3- 5+ 47+	2- 3- 5+ -1  3  4  0 -2
Curve Equation t Generators 56400cp1 [0,1,0,-933,-10737] 1 [-21:6:1] 56400cp2 [0,1,0,-12933,559263] 1 [-121:606:1]
56400cq (2 curves)	1	2- 3- 5+ 47+	2- 3- 5+  2  6 -5 -6 -2
Curve Equation t Generators 56400cq1 [0,1,0,3467,-137437] 1 [38:225:1] 56400cq2 [0,1,0,-32533,4722563] 1 [-122:2625:1]
56400cr (2 curves)	1	2- 3- 5+ 47+	2- 3- 5+  2 -6  2 -2  4
Curve Equation t Generators 56400cr1 [0,1,0,502592,97467188] 2 [1028:41250:1] 56400cr2 [0,1,0,-2505408,861499188] 2 [-1452:37950:1]
56400cs (1 curve)	1	2- 3- 5+ 47+	2- 3- 5+  3  0  5 -6  0
Curve Equation t Generators 56400cs1 [0,1,0,-1888,-27532] 1 [1758:9728:27]
56400ct (1 curve)	1	2- 3- 5+ 47+	2- 3- 5+ -3 -1  2 -2 -6
Curve Equation t Generators 56400ct1 [0,1,0,-10533,412563] 1 [-106:591:1]
56400cu (1 curve)	1	2- 3- 5+ 47+	2- 3- 5+ -3  6 -1 -3 -3
Curve Equation t Generators 56400cu1 [0,1,0,-49008,-27924012] 1 [1068:33750:1]
56400cv (4 curves)	0	2- 3- 5+ 47-	2- 3- 5+  0 -4 -2 -6  0
Curve Equation t 56400cv1 [0,1,0,-147008,-21744012] 2 56400cv2 [0,1,0,-149008,-21124012] 4 56400cv3 [0,1,0,100992,-84624012] 4 56400cv4 [0,1,0,-431008,82087988] 2
56400cw (1 curve)	0	2- 3- 5+ 47-	2- 3- 5+  1  2  7 -1  1
Curve Equation t 56400cw1 [0,1,0,-14408,-676812] 1
56400cx (1 curve)	0	2- 3- 5+ 47-	2- 3- 5+  1 -4  1 -4 -5
Curve Equation t 56400cx1 [0,1,0,187,-717] 1
56400cy (2 curves)	2	2- 3- 5+ 47-	2- 3- 5+ -1  0 -5 -6 -8
Curve Equation t Generators 56400cy1 [0,1,0,-121568,15791988] 1 [-273:5358:1]&[-38:4512:1] 56400cy2 [0,1,0,-9765968,11743585428] 1 [1762:3072:1]&[5402:590997:8]
56400cz (1 curve)	0	2- 3- 5+ 47-	2- 3- 5+ -3  2  1 -3  3
Curve Equation t 56400cz1 [0,1,0,2592,-4812] 1
56400da (1 curve)	0	2- 3- 5+ 47-	2- 3- 5+ -3  5 -2  6  6
Curve Equation t 56400da1 [0,1,0,-4933,-52237] 1
56400db (2 curves)	0	2- 3- 5- 47+	2- 3- 5-  0  0  2 -2 -2
Curve Equation t 56400db1 [0,1,0,-42208,2249588] 2 56400db2 [0,1,0,117792,15369588] 2
56400dc (1 curve)	2	2- 3- 5- 47+	2- 3- 5- -3 -4 -1  2 -8
Curve Equation t Generators 56400dc1 [0,1,0,-3008,62388] 1 [-62:120:1]&[28:30:1]
56400dd (1 curve)	2	2- 3- 5- 47+	2- 3- 5- -3 -4 -1 -4  1
Curve Equation t Generators 56400dd1 [0,1,0,-6333,-3180537] 1 [399:-7614:1]&[183:1350:1]
56400de (2 curves)	1	2- 3- 5- 47-	2- 3- 5-  0  0  2  2  4
Curve Equation t Generators 56400de1 [0,1,0,-4968,137268] 2 [12:282:1] 56400de2 [0,1,0,-80168,8710068] 2 [148:330:1]
56400df (1 curve)	1	2- 3- 5- 47-	2- 3- 5-  1  4  1 -2  0
Curve Equation t Generators 56400df1 [0,1,0,-20208,933588] 1 [258:3600:1]
56400dg (1 curve)	1	2- 3- 5- 47-	2- 3- 5-  2  5 -6  0 -4
Curve Equation t Generators 56400dg1 [0,1,0,-363208,84137588] 1 [43430:9984:125]
56400dh (1 curve)	1	2- 3- 5- 47-	2- 3- 5-  2 -5 -2 -4 -4
Curve Equation t Generators 56400dh1 [0,1,0,-808,17588] 1 [14:-96:1]
56400di (1 curve)	1	2- 3- 5- 47-	2- 3- 5- -3  0 -1  5  1
Curve Equation t Generators 56400di1 [0,1,0,-3043208,-2111942412] 1 [2308:56250:1]
56400dj (1 curve)	1	2- 3- 5- 47-	2- 3- 5-  4  0 -5 -6  2
Curve Equation t Generators 56400dj1 [0,1,0,-293,-2157] 1 [78:675:1]
56400dk (1 curve)	1	2- 3- 5- 47-	2- 3- 5- -4  0 -3 -2 -2
Curve Equation t Generators 56400dk1 [0,1,0,-22333,-2212537] 1 [383:-6750:1]
56400dl (1 curve)	1	2- 3- 5- 47-	2- 3- 5-  5  0 -3  7 -5
Curve Equation t Generators 56400dl1 [0,1,0,-128,948] 1 [-12:30:1]

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