Cremona's table of elliptic curves

48400 = 2⁴ · 5² · 11²

Class	r	Atkin-Lehner	Eigenvalues
48400a (1 curve)	1	2+ 5+ 11+	2+  1 5+  3 11+  4 -3  3
Curve Equation t Generators 48400a1 [0,1,0,676592,3687995188] 1 [-3256218:95665625:2744]
48400b (1 curve)	1	2+ 5+ 11+	2+  1 5+ -3 11+ -4  3 -3
Curve Equation t Generators 48400b1 [0,1,0,5592,-2768812] 1 [538:12500:1]
48400c (1 curve)	1	2+ 5+ 11+	2+  1 5+  4 11+ -4 -4  4
Curve Equation t Generators 48400c1 [0,1,0,44367,-2967637] 1 [1377654073998:31385409996853:3196010817]
48400d (1 curve)	1	2+ 5+ 11+	2+  1 5+ -4 11+  4  4 -4
Curve Equation t Generators 48400d1 [0,1,0,367,2363] 1 [62:517:1]
48400e (2 curves)	1	2+ 5+ 11+	2+ -2 5+  0 11+  2 -6  0
Curve Equation t Generators 48400e1 [0,1,0,11092,10442188] 2 [-201:364:1] 48400e2 [0,1,0,-654408,198113188] 2 [-928:2662:1]
48400f (2 curves)	1	2+ 5+ 11+	2+ -2 5+  0 11+ -2  6  0
Curve Equation t Generators 48400f1 [0,1,0,92,-7812] 2 [19:34:1] 48400f2 [0,1,0,-5408,-150812] 2 [-48:22:1]
48400g (1 curve)	0	2+ 5+ 11-	2+  0 5+  1 11- -2 -2  6
Curve Equation t 48400g1 [0,0,0,-831875,-274518750] 1
48400h (1 curve)	0	2+ 5+ 11-	2+  0 5+ -1 11-  2  2 -6
Curve Equation t 48400h1 [0,0,0,-6875,206250] 1
48400i (2 curves)	0	2+ 5+ 11-	2+  0 5+  2 11-  0  0 -8
Curve Equation t 48400i1 [0,0,0,-114950,-14474625] 2 48400i2 [0,0,0,51425,-52907250] 2
48400j (2 curves)	0	2+ 5+ 11-	2+  0 5+  2 11- -4 -4  0
Curve Equation t 48400j1 [0,0,0,6050,-499125] 2 48400j2 [0,0,0,-69575,-6322250] 2
48400k (4 curves)	0	2+ 5+ 11-	2+  0 5+  4 11- -2  2  4
Curve Equation t 48400k1 [0,0,0,-6050,166375] 2 48400k2 [0,0,0,-21175,-998250] 4 48400k3 [0,0,0,39325,-5656750] 2 48400k4 [0,0,0,-323675,-70875750] 2
48400l (1 curve)	0	2+ 5+ 11-	2+  0 5+  4 11- -3 -3 -4
Curve Equation t 48400l1 [0,0,0,-33275,3660250] 1
48400m (1 curve)	0	2+ 5+ 11-	2+  0 5+ -4 11-  3  3  4
Curve Equation t 48400m1 [0,0,0,-275,-2750] 1
48400n (4 curves)	0	2+ 5+ 11-	2+  0 5+ -4 11-  6 -6  4
Curve Equation t 48400n1 [0,0,0,-15252050,22926641375] 2 48400n2 [0,0,0,-15267175,22878891750] 4 48400n3 [0,0,0,-7946675,44862353250] 2 48400n4 [0,0,0,-22829675,-2160545750] 2
48400o (1 curve)	0	2+ 5+ 11-	2+  3 5+ -1 11- -6  3 -5
Curve Equation t 48400o1 [0,0,0,-202675,-37600750] 1
48400p (1 curve)	0	2+ 5+ 11-	2+ -3 5+  2 11-  0 -6  4
Curve Equation t 48400p1 [0,0,0,-12100,665500] 1
48400q (1 curve)	0	2+ 5+ 11-	2+ -3 5+ -2 11-  4  5  1
Curve Equation t 48400q1 [0,0,0,605,-13310] 1
48400r (1 curve)	1	2+ 5- 11-	2+  0 5-  1 11- -2 -2 -6
Curve Equation t Generators 48400r1 [0,0,0,-275,1650] 1 [5:20:1]
48400s (1 curve)	1	2+ 5- 11-	2+  0 5- -1 11-  2  2  6
Curve Equation t Generators 48400s1 [0,0,0,-33275,-2196150] 1 [-121:242:1]
48400t (1 curve)	1	2+ 5- 11-	2+  1 5-  1 11-  0 -1  1
Curve Equation t Generators 48400t1 [0,1,0,95792,-7054412] 1 [3114:75625:8]
48400u (1 curve)	1	2+ 5- 11-	2+  1 5-  5 11- -6  4  2
Curve Equation t Generators 48400u1 [0,1,0,-15528,-791452] 1 [752624:3289270:4913]
48400v (1 curve)	1	2+ 5- 11-	2+  1 5- -5 11-  6 -4 -2
Curve Equation t Generators 48400v1 [0,1,0,-128,548] 1 [8:10:1]
48400w (1 curve)	1	2+ 5- 11-	2+ -1 5- -1 11-  0  1  1
Curve Equation t Generators 48400w1 [0,-1,0,3832,-57968] 1 [48:-484:1]
48400x (1 curve)	1	2+ 5- 11-	2+ -1 5-  5 11- -6  4 -2
Curve Equation t Generators 48400x1 [0,-1,0,-3208,74912] 1 [-58:250:1]
48400y (1 curve)	1	2+ 5- 11-	2+ -1 5- -5 11-  6 -4  2
Curve Equation t Generators 48400y1 [0,-1,0,-388208,-98155088] 1 [461706:14618750:343]
48400z (2 curves)	1	2+ 5- 11-	2+  2 5-  2 11-  0  4  4
Curve Equation t Generators 48400z1 [0,-1,0,-615083,-185426338] 2 [5108686516726181766:-537935570631399425122:458367512771727] 48400z2 [0,-1,0,-690708,-136875088] 2 [274444330024:2586769361748:286191179]
48400ba (2 curves)	1	2+ 5- 11-	2+  2 5- -2 11-  4  0 -4
Curve Equation t Generators 48400ba1 [0,-1,0,-403,-1098] 2 [-54:285:8] 48400ba2 [0,-1,0,-3428,77552] 2 [136:1452:1]
48400bb (2 curves)	1	2+ 5- 11-	2+  2 5- -4 11- -6  2  4
Curve Equation t Generators 48400bb1 [0,-1,0,35292,-4017088] 2 [5367:88784:27] 48400bb2 [0,-1,0,-267208,-42737088] 2 [942:23250:1]
48400bc (2 curves)	1	2+ 5- 11-	2+ -2 5-  2 11- -4  0 -4
Curve Equation t Generators 48400bc1 [0,1,0,-10083,-157412] 2 [392:7502:1] 48400bc2 [0,1,0,-85708,9522588] 2 [194:484:1]
48400bd (2 curves)	1	2+ 5- 11-	2+ -2 5- -2 11-  0 -4  4
Curve Equation t Generators 48400bd1 [0,1,0,-24603,-1493252] 2 [392:7018:1] 48400bd2 [0,1,0,-27628,-1106052] 2 [238:2420:1]
48400be (2 curves)	1	2+ 5- 11-	2+ -2 5-  4 11-  6 -2  4
Curve Equation t Generators 48400be1 [0,1,0,1412,-31572] 2 [38:280:1] 48400be2 [0,1,0,-10688,-346172] 2 [-48:242:1]
48400bf (1 curve)	1	2+ 5- 11-	2+  3 5-  2 11- -4 -5  1
Curve Equation t Generators 48400bf1 [0,0,0,15125,-1663750] 1 [12879537:253580212:35937]
48400bg (1 curve)	0	2- 5+ 11+	2-  0 5+  2 11+  1  2  5
Curve Equation t 48400bg1 [0,0,0,-275,-3630] 1
48400bh (1 curve)	2	2- 5+ 11+	2-  0 5+ -2 11+ -1 -2 -5
Curve Equation t Generators 48400bh1 [0,0,0,-33275,4831530] 1 [-211:1568:1]&[-121:2662:1]
48400bi (2 curves)	0	2- 5+ 11+	2-  0 5+  4 11+ -4  4 -8
Curve Equation t 48400bi1 [0,0,0,-266200,-60394125] 2 48400bi2 [0,0,0,-4425575,-3583384750] 2
48400bj (2 curves)	0	2- 5+ 11+	2-  0 5+ -4 11+  4 -4  8
Curve Equation t 48400bj1 [0,0,0,-2200,45375] 2 48400bj2 [0,0,0,-36575,2692250] 2
48400bk (2 curves)	0	2- 5+ 11+	2- -1 5+  0 11+  0  0  0
Curve Equation t 48400bk1 [0,-1,0,-2933,-61763] 1 48400bk2 [0,-1,0,-354933,83626237] 1
48400bl (1 curve)	0	2- 5+ 11+	2- -1 5+  3 11+  0 -3 -3
Curve Equation t 48400bl1 [0,-1,0,-9439008,12125216512] 1
48400bm (1 curve)	0	2- 5+ 11+	2- -1 5+ -3 11+  0  3  3
Curve Equation t 48400bm1 [0,-1,0,-78008,-9081488] 1
48400bn (2 curves)	0	2- 5+ 11+	2-  2 5+  0 11+  6  6  0
Curve Equation t 48400bn1 [0,-1,0,-9971408,-18044826688] 2 48400bn2 [0,-1,0,-180339408,-931898778688] 2
48400bo (2 curves)	0	2- 5+ 11+	2-  2 5+  0 11+ -6 -6  0
Curve Equation t 48400bo1 [0,-1,0,-82408,13587312] 2 48400bo2 [0,-1,0,-1490408,700691312] 2
48400bp (1 curve)	0	2- 5+ 11+	2- -3 5+  5 11+  4 -1  5
Curve Equation t 48400bp1 [0,0,0,232925,-40262750] 1
48400bq (1 curve)	2	2- 5+ 11+	2- -3 5+ -5 11+ -4  1 -5
Curve Equation t Generators 48400bq1 [0,0,0,1925,30250] 1 [-11:88:1]&[55:550:1]
48400br (4 curves)	1	2- 5+ 11-	2-  0 5+  0 11-  2  6 -4
Curve Equation t Generators 48400br1 [0,0,0,39325,2329250] 2 [265:5600:1] 48400br2 [0,0,0,-202675,20963250] 4 [8129:731808:1] 48400br3 [0,0,0,-1412675,-631226750] 2 [-759:1936:1] 48400br4 [0,0,0,-2864675,1865729250] 2 [-1705:42350:1]
48400bs (2 curves)	1	2- 5+ 11-	2-  1 5+  1 11-  2  0  2
Curve Equation t Generators 48400bs1 [0,1,0,92,-2312] 1 [4389:11500:343] 48400bs2 [0,1,0,-10908,-442312] 1 [18308211999:353848226500:45499293]
48400bt (2 curves)	1	2- 5+ 11-	2-  1 5+  1 11-  2 -3 -1
Curve Equation t Generators 48400bt1 [0,1,0,-49408,11531188] 1 [1338:48400:1] 48400bt2 [0,1,0,434592,-274028812] 1 [34806:-1331000:27]
48400bu (2 curves)	1	2- 5+ 11-	2-  1 5+  1 11- -4  0 -4
Curve Equation t Generators 48400bu1 [0,1,0,-29404008,62354215988] 1 [-49164:8949250:27] 48400bu2 [0,1,0,117005992,291632275988] 1 [76809462914388:12973477230122950:10374495741]
48400bv (2 curves)	1	2- 5+ 11-	2-  1 5+ -1 11- -2  0 -2
Curve Equation t Generators 48400bv1 [0,1,0,11092,3121688] 1 [388333:7443950:1331] 48400bv2 [0,1,0,-1319908,583437688] 1 [2823:139150:1]
48400bw (2 curves)	1	2- 5+ 11-	2-  1 5+ -1 11-  4  0  4
Curve Equation t Generators 48400bw1 [0,1,0,-243008,-46936012] 1 [759164:34747250:343] 48400bw2 [0,1,0,966992,-218756012] 1 [348:12650:1]
48400bx (4 curves)	1	2- 5+ 11-	2-  1 5+ -2 11- -4 -3  5
Curve Equation t Generators 48400bx1 [0,1,0,-5848,205588] 1 [54:224:1] 48400bx2 [0,1,0,42552,-1517452] 1 [82926:1598464:729] 48400bx3 [0,1,0,-25208,-18186412] 1 [505270:32098808:125] 48400bx4 [0,1,0,-6075208,-5765686412] 1 [6183183647010249270:-322662084606992111408:1405116168400125]
48400by (2 curves)	1	2- 5+ 11-	2-  1 5+ -2 11- -4  6  8
Curve Equation t Generators 48400by1 [0,1,0,8067,-317737] 1 [6393:104302:27] 48400by2 [0,1,0,-233933,-43877737] 1 [5128506759:63252591974:8120601]
48400bz (2 curves)	1	2- 5+ 11-	2-  1 5+ -5 11-  2  3 -7
Curve Equation t Generators 48400bz1 [0,1,0,-4284408,3444543188] 1 [1228:6050:1] 48400bz2 [0,1,0,14349592,17867259188] 1 [47676:5959250:27]
48400ca (3 curves)	1	2- 5+ 11-	2- -1 5+  2 11-  4 -2  0
Curve Equation t Generators 48400ca1 [0,-1,0,-16133,1878637] 1 [356:6413:1] 48400ca2 [0,-1,0,-500133,-246413363] 1 [456011426676:9963414946727:406869021] 48400ca3 [0,-1,0,-378504133,-2834227585363] 1 [5625343245097220929458784170943509409698764621364:-2522310991385159973575423413312849908911761313764897:27713473522334259155289460948776428173951269]
48400cb (1 curve)	1	2- 5+ 11-	2- -1 5+  3 11-  0  8  8
Curve Equation t Generators 48400cb1 [0,-1,0,-1008,-39488] 1 [82:650:1]
48400cc (1 curve)	1	2- 5+ 11-	2- -1 5+ -3 11-  0 -8 -8
Curve Equation t Generators 48400cc1 [0,-1,0,-122008,53046512] 1 [202:-6050:1]
48400cd (2 curves)	1	2- 5+ 11-	2- -1 5+ -3 11- -6 -7  5
Curve Equation t Generators 48400cd1 [0,-1,0,482992,-521703488] 1 [2072:96800:1] 48400cd2 [0,-1,0,-287497008,-1876186263488] 1 [2240544:630724600:27]
48400ce (2 curves)	1	2- 5+ 11-	2-  2 5+  0 11-  0 -4 -4
Curve Equation t Generators 48400ce1 [0,-1,0,-16133,48512] 2 [-934:4575:8] 48400ce2 [0,-1,0,-182508,29996012] 2 [613662:-32352875:216]
48400cf (1 curve)	1	2- 5+ 11-	2-  2 5+  0 11-  3 -4 -1
Curve Equation t Generators 48400cf1 [0,-1,0,-397888,-96519168] 1 [109759392:3540712704:79507]
48400cg (2 curves)	1	2- 5+ 11-	2-  2 5+  2 11-  1 -5  6
Curve Equation t Generators 48400cg1 [0,-1,0,-12008,510512] 1 [-14:822:1] 48400cg2 [0,-1,0,-122008,-64081488] 1 [401911855377081372149146818:22587158269207991092969564314:125452923440515069875013]
48400ch (2 curves)	1	2- 5+ 11-	2-  2 5+ -2 11- -1  5 -6
Curve Equation t Generators 48400ch1 [0,-1,0,-1008,48512] 1 [26:198:1] 48400ch2 [0,-1,0,-1453008,-673679488] 1 [19139389402918:1249814866342086:4149995543]
48400ci (1 curve)	1	2- 5+ 11-	2-  2 5+  3 11-  0 -2 -2
Curve Equation t Generators 48400ci1 [0,-1,0,-262595208,-1637728611088] 1 [-3270589039773285635807772241478:259379807098656660138646437954:348035242360600446794944829]
48400cj (1 curve)	1	2- 5+ 11-	2-  2 5+ -3 11-  0  2  2
Curve Equation t Generators 48400cj1 [0,-1,0,-2170208,1231238912] 1 [-9744:1197568:27]
48400ck (2 curves)	1	2- 5+ 11-	2- -2 5+  1 11- -4 -6  2
Curve Equation t Generators 48400ck1 [0,1,0,-128,-332] 1 [-6:16:1] 48400ck2 [0,1,0,-8928,-327692] 1 [-1482:8:27]
48400cl (2 curves)	1	2- 5+ 11-	2- -2 5+ -1 11-  4  6 -2
Curve Equation t Generators 48400cl1 [0,1,0,-15528,379828] 1 [12:442:1] 48400cl2 [0,1,0,-1080328,431836788] 1 [524:3146:1]
48400cm (2 curves)	1	2- 5+ 11-	2- -2 5+  2 11- -5 -3 -2
Curve Equation t Generators 48400cm1 [0,1,0,144192,8046388] 1 [22932:3473218:1] 48400cm2 [0,1,0,-2517808,1578626388] 1 [524:20086:1]
48400cn (4 curves)	1	2- 5+ 11-	2- -2 5+ -2 11-  2 -6 -4
Curve Equation t Generators 48400cn1 [0,1,0,-4033,66438] 2 [62:242:1] 48400cn2 [0,1,0,11092,459688] 2 [463:10250:1] 48400cn3 [0,1,0,-125033,-17055062] 2 [3362:193842:1] 48400cn4 [0,1,0,-109908,-21320312] 2 [19602234:1130755769:5832]
48400co (2 curves)	1	2- 5+ 11-	2- -2 5+ -2 11-  5  3  2
Curve Equation t Generators 48400co1 [0,1,0,1192,-5612] 1 [44:366:1] 48400co2 [0,1,0,-20808,-1193612] 1 [754468:12481698:2197]
48400cp (4 curves)	1	2- 5+ 11-	2- -2 5+  4 11- -4  0 -4
Curve Equation t Generators 48400cp1 [0,1,0,-137133,19099738] 2 [12794:499125:8] 48400cp2 [0,1,0,-303508,-36469512] 2 [-297:5250:1] 48400cp3 [0,1,0,-1347133,-594672762] 2 [98454846:2886839175:54872] 48400cp4 [0,1,0,-21478508,-38320869512] 2 [15732083562:-1429556541875:1481544]
48400cq (2 curves)	1	2- 5+ 11-	2- -2 5+  4 11-  5  0 -7
Curve Equation t Generators 48400cq1 [0,1,0,3832,31348] 1 [7:242:1] 48400cq2 [0,1,0,-44568,-4208492] 1 [2647:135762:1]
48400cr (1 curve)	1	2- 5+ 11-	2- -3 5+  3 11-  4  0  4
Curve Equation t Generators 48400cr1 [0,0,0,-565675,355044250] 1 [1015:28750:1]
48400cs (1 curve)	1	2- 5+ 11-	2- -3 5+ -3 11- -4  0 -4
Curve Equation t Generators 48400cs1 [0,0,0,-4675,-266750] 1 [135:-1250:1]
48400ct (1 curve)	1	2- 5- 11+	2-  0 5-  2 11+  1  2 -5
Curve Equation t Generators 48400ct1 [0,0,0,-831875,603941250] 1 [6050:465850:1]
48400cu (1 curve)	1	2- 5- 11+	2-  0 5- -2 11+ -1 -2  5
Curve Equation t Generators 48400cu1 [0,0,0,-6875,-453750] 1 [125:800:1]
48400cv (2 curves)	0	2- 5- 11-	2-  0 5-  2 11-  6  2 -4
Curve Equation t 48400cv1 [0,0,0,-60500,4159375] 2 48400cv2 [0,0,0,-892375,324431250] 2
48400cw (2 curves)	2	2- 5- 11-	2-  0 5- -2 11- -6 -2 -4
Curve Equation t Generators 48400cw1 [0,0,0,-2420,33275] 2 [-11:242:1]&[-190:2225:8] 48400cw2 [0,0,0,-35695,2595450] 2 [66:726:1]&[130:390:1]
48400cx (3 curves)	0	2- 5- 11-	2-  1 5-  3 11- -4 -3 -5
Curve Equation t 48400cx1 [0,1,0,-54248,-4886092] 1 48400cx2 [0,1,0,381352,51161108] 1 48400cx3 [0,1,0,-58715048,173152502708] 1
48400cy (4 curves)	0	2- 5- 11-	2- -1 5-  2 11-  4  3  5
Curve Equation t 48400cy1 [0,-1,0,-1008,-145088] 1 48400cy2 [0,-1,0,-243008,-46028288] 1 48400cy3 [0,-1,0,-146208,25990912] 1 48400cy4 [0,-1,0,1063792,-191809088] 1
48400cz (3 curves)	0	2- 5- 11-	2- -1 5- -3 11-  4  3 -5
Curve Equation t 48400cz1 [0,-1,0,-1356208,-608049088] 1 48400cz2 [0,-1,0,9533792,6376070912] 1 48400cz3 [0,-1,0,-1467876208,21646998590912] 1
48400da (2 curves)	0	2- 5- 11-	2-  2 5-  0 11- -2  6  4
Curve Equation t 48400da1 [0,-1,0,-10688,745472] 2 48400da2 [0,-1,0,-204288,35593472] 2
48400db (2 curves)	0	2- 5- 11-	2-  2 5-  1 11- -4 -6 -2
Curve Equation t 48400db1 [0,-1,0,-388208,48254912] 1 48400db2 [0,-1,0,-27008208,54033614912] 1
48400dc (2 curves)	0	2- 5- 11-	2-  2 5- -1 11-  4  6  2
Curve Equation t 48400dc1 [0,-1,0,-3208,-35088] 1 48400dc2 [0,-1,0,-223208,-40515088] 1
48400dd (2 curves)	2	2- 5- 11-	2-  2 5- -4 11- -5  0 -7
Curve Equation t Generators 48400dd1 [0,-1,0,95792,3726912] 1 [642:-18150:1]&[192:5400:1] 48400dd2 [0,-1,0,-1114208,-523833088] 1 [1258:7986:1]&[7936:700272:1]
48400de (2 curves)	0	2- 5- 11-	2- -2 5-  0 11-  2 -6  4
Curve Equation t 48400de1 [0,1,0,-267208,92649588] 2 48400de2 [0,1,0,-5107208,4438969588] 2
48400df (1 curve)	0	2- 5- 11-	2- -2 5-  0 11- -3  4 -1
Curve Equation t 48400df1 [0,1,0,-9947208,-12084790412] 1
48400dg (1 curve)	0	2- 5- 11-	2- -2 5-  3 11-  0 -2  2
Curve Equation t 48400dg1 [0,1,0,-86808,9815188] 1
48400dh (1 curve)	0	2- 5- 11-	2- -2 5- -3 11-  0  2 -2
Curve Equation t 48400dh1 [0,1,0,-10503808,-13106030412] 1
48400di (1 curve)	0	2- 5- 11-	2-  3 5-  1 11-  6  4  2
Curve Equation t 48400di1 [0,0,0,73205,-8052550] 1
48400dj (1 curve)	0	2- 5- 11-	2-  3 5- -1 11-  0  5 -7
Curve Equation t 48400dj1 [0,0,0,-28435,7120850] 1
48400dk (1 curve)	0	2- 5- 11-	2-  3 5- -1 11- -6 -4 -2
Curve Equation t 48400dk1 [0,0,0,605,6050] 1
48400dl (1 curve)	2	2- 5- 11-	2- -3 5-  1 11-  0 -5 -7
Curve Equation t Generators 48400dl1 [0,0,0,-710875,890106250] 1 [925:32000:1]&[-825:30250:1]
48400dm (1 curve)	0	2- 5- 11-	2- -3 5-  1 11-  6  4 -2
Curve Equation t 48400dm1 [0,0,0,15125,756250] 1
48400dn (1 curve)	0	2- 5- 11-	2- -3 5- -1 11- -6 -4  2
Curve Equation t 48400dn1 [0,0,0,1830125,-1006568750] 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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