Cremona's table of elliptic curves

36400 = 2⁴ · 5² · 7 · 13

Class	r	Atkin-Lehner	Eigenvalues
36400a (1 curve)	1	2+ 5+ 7+ 13+	2+  0 5+ 7+ -2 13+  0  7
Curve Equation t Generators 36400a1 [0,0,0,-1700,29500] 1 [-39:191:1]
36400b (2 curves)	1	2+ 5+ 7+ 13+	2+  0 5+ 7+ -2 13+  0 -8
Curve Equation t Generators 36400b1 [0,0,0,-338075,-75659750] 2 [1105:30000:1] 36400b2 [0,0,0,-331075,-78942750] 2 [3010:161850:1]
36400c (1 curve)	1	2+ 5+ 7+ 13+	2+  3 5+ 7+ -5 13+  3 -5
Curve Equation t Generators 36400c1 [0,0,0,18125,4231250] 1 [957:59878:27]
36400d (1 curve)	0	2+ 5+ 7+ 13-	2+ -1 5+ 7+  3 13-  6  6
Curve Equation t 36400d1 [0,-1,0,-21008,1340512] 1
36400e (1 curve)	0	2+ 5+ 7+ 13-	2+ -1 5+ 7+ -5 13-  2  6
Curve Equation t 36400e1 [0,-1,0,-585408,-180718688] 1
36400f (2 curves)	0	2+ 5+ 7+ 13-	2+  2 5+ 7+  0 13-  8  2
Curve Equation t 36400f1 [0,-1,0,-1008,-5488] 2 36400f2 [0,-1,0,-8008,274512] 2
36400g (2 curves)	0	2+ 5+ 7+ 13-	2+  2 5+ 7+  2 13- -6  6
Curve Equation t 36400g1 [0,-1,0,-89908,-10334688] 2 36400g2 [0,-1,0,-65408,-16116688] 2
36400h (1 curve)	0	2+ 5+ 7+ 13-	2+  2 5+ 7+ -3 13- -6 -6
Curve Equation t 36400h1 [0,-1,0,-208,20787] 1
36400i (2 curves)	0	2+ 5+ 7+ 13-	2+  2 5+ 7+  4 13- -4 -6
Curve Equation t 36400i1 [0,-1,0,-14008,640512] 2 36400i2 [0,-1,0,-21008,-59488] 2
36400j (1 curve)	0	2+ 5+ 7- 13+	2+  1 5+ 7- -4 13+  6  6
Curve Equation t 36400j1 [0,1,0,-313,-2237] 1
36400k (2 curves)	0	2+ 5+ 7- 13+	2+ -2 5+ 7-  2 13+  6 -6
Curve Equation t 36400k1 [0,1,0,-258508,19682988] 2 36400k2 [0,1,0,941992,151737988] 2
36400l (4 curves)	1	2+ 5+ 7- 13-	2+  0 5+ 7-  0 13- -6 -4
Curve Equation t Generators 36400l1 [0,0,0,550,2875] 2 [571:13656:1] 36400l2 [0,0,0,-2575,24750] 4 [9:48:1] 36400l3 [0,0,0,-20075,-1077750] 2 [170:650:1] 36400l4 [0,0,0,-35075,2527250] 4 [-205:1050:1]
36400m (2 curves)	1	2+ 5+ 7- 13-	2+  0 5+ 7-  2 13-  4 -4
Curve Equation t Generators 36400m1 [0,0,0,-68675,343250] 2 [-191:2548:1] 36400m2 [0,0,0,274325,2744250] 2 [159:7098:1]
36400n (1 curve)	1	2+ 5+ 7- 13-	2+  0 5+ 7-  3 13-  0  2
Curve Equation t Generators 36400n1 [0,0,0,-10064375,33939840625] 1 [13464:1529437:1]
36400o (1 curve)	1	2+ 5+ 7- 13-	2+ -1 5+ 7- -3 13- -4 -2
Curve Equation t Generators 36400o1 [0,-1,0,-208,2912] 1 [2:-50:1]
36400p (1 curve)	1	2+ 5+ 7- 13-	2+  2 5+ 7-  0 13-  2 -5
Curve Equation t Generators 36400p1 [0,-1,0,26767,-1116163] 1 [6020:66417:125]
36400q (2 curves)	1	2+ 5+ 7- 13-	2+  2 5+ 7- -6 13-  2 -2
Curve Equation t Generators 36400q1 [0,-1,0,-11908,-458688] 2 [1212:42000:1] 36400q2 [0,-1,0,12592,-2124688] 2 [32619:1137500:27]
36400r (1 curve)	1	2+ 5+ 7- 13-	2+ -2 5+ 7- -4 13-  6 -1
Curve Equation t Generators 36400r1 [0,1,0,-33,-6437] 1 [22:63:1]
36400s (1 curve)	0	2+ 5- 7+ 13+	2+  0 5- 7+  3 13+  0  2
Curve Equation t 36400s1 [0,0,0,-402575,271518725] 1
36400t (2 curves)	0	2+ 5- 7+ 13+	2+  2 5- 7+  6 13+ -6  4
Curve Equation t 36400t1 [0,-1,0,-68,32] 2 36400t2 [0,-1,0,-768,8432] 2
36400u (2 curves)	1	2+ 5- 7+ 13-	2+  0 5- 7+  4 13- -2 -2
Curve Equation t Generators 36400u1 [0,0,0,-250,9375] 2 [231:3504:1] 36400u2 [0,0,0,-8375,293750] 2 [49:32:1]
36400v (1 curve)	1	2+ 5- 7+ 13-	2+ -1 5- 7+ -4 13- -6  6
Curve Equation t Generators 36400v1 [0,-1,0,-7833,-263963] 1 [-406:133:8]
36400w (2 curves)	1	2+ 5- 7+ 13-	2+  2 5- 7+  0 13-  0  0
Curve Equation t Generators 36400w1 [0,-1,0,-26208,1640912] 2 [56:588:1] 36400w2 [0,-1,0,-21208,2280912] 2 [2262:28126:27]
36400x (2 curves)	1	2+ 5- 7- 13+	2+  0 5- 7-  4 13+  2 -2
Curve Equation t Generators 36400x1 [0,0,0,-10,75] 2 [11:36:1] 36400x2 [0,0,0,-335,2350] 2 [9:8:1]
36400y (2 curves)	1	2+ 5- 7- 13+	2+ -2 5- 7-  0 13+  0  0
Curve Equation t Generators 36400y1 [0,1,0,-1048,12708] 2 [22:-28:1] 36400y2 [0,1,0,-848,17908] 2 [54:-364:1]
36400z (1 curve)	1	2+ 5- 7- 13+	2+ -2 5- 7- -3 13+  6 -6
Curve Equation t Generators 36400z1 [0,1,0,-8,163] 1 [-3:13:1]
36400ba (2 curves)	0	2+ 5- 7- 13-	2+ -2 5- 7-  6 13-  6  4
Curve Equation t 36400ba1 [0,1,0,-1708,588] 2 36400ba2 [0,1,0,-19208,1015588] 2
36400bb (1 curve)	2	2+ 5- 7- 13-	2+ -3 5- 7- -5 13- -3 -5
Curve Equation t Generators 36400bb1 [0,0,0,725,33850] 1 [25:-260:1]&[-15:140:1]
36400bc (4 curves)	0	2- 5+ 7+ 13+	2-  0 5+ 7+  0 13+  6  0
Curve Equation t 36400bc1 [0,0,0,-26675,-1676750] 2 36400bc2 [0,0,0,-28675,-1410750] 4 36400bc3 [0,0,0,69325,-8956750] 2 36400bc4 [0,0,0,-158675,23159250] 2
36400bd (1 curve)	0	2- 5+ 7+ 13+	2-  0 5+ 7+ -3 13+ -4  6
Curve Equation t 36400bd1 [0,0,0,-39243125,94648496875] 1
36400be (2 curves)	0	2- 5+ 7+ 13+	2-  0 5+ 7+  6 13+  8  0
Curve Equation t 36400be1 [0,0,0,-13559075,-17685622750] 2 36400be2 [0,0,0,15112925,-82513014750] 2
36400bf (1 curve)	0	2- 5+ 7+ 13+	2-  1 5+ 7+  1 13+ -4 -2
Curve Equation t 36400bf1 [0,1,0,-1843408,-965640812] 1
36400bg (1 curve)	0	2- 5+ 7+ 13+	2- -2 5+ 7+  4 13+  2  1
Curve Equation t 36400bg1 [0,1,0,-133,-1137] 1
36400bh (1 curve)	0	2- 5+ 7+ 13+	2-  3 5+ 7+  6 13+  2  0
Curve Equation t 36400bh1 [0,0,0,-160,380] 1
36400bi (1 curve)	0	2- 5+ 7+ 13+	2- -3 5+ 7+ -3 13+  2  6
Curve Equation t 36400bi1 [0,0,0,-13075,-584750] 1
36400bj (4 curves)	1	2- 5+ 7+ 13-	2-  0 5+ 7+  0 13-  2  4
Curve Equation t Generators 36400bj1 [0,0,0,-20075,-787750] 2 [245:3000:1] 36400bj2 [0,0,0,-118075,14990250] 4 [109:1848:1] 36400bj3 [0,0,0,63925,57032250] 2 [759:23298:1] 36400bj4 [0,0,0,-1868075,982740250] 4 [21693:18854:27]
36400bk (4 curves)	1	2- 5+ 7+ 13-	2-  0 5+ 7+ -4 13-  6  0
Curve Equation t Generators 36400bk1 [0,0,0,346525,-53294750] 2 [618060:18643625:1728] 36400bk2 [0,0,0,-1701475,-469038750] 4 [2050:68250:1] 36400bk3 [0,0,0,-12517475,16717585250] 2 [936110:18417750:343] 36400bk4 [0,0,0,-23653475,-44263278750] 2 [-2785:3250:1]
36400bl (1 curve)	1	2- 5+ 7+ 13-	2-  0 5+ 7+  6 13- -4 -5
Curve Equation t Generators 36400bl1 [0,0,0,400,-2000] 1 [5205:36839:125]
36400bm (1 curve)	1	2- 5+ 7+ 13-	2-  1 5+ 7+  1 13- -3  3
Curve Equation t Generators 36400bm1 [0,1,0,-2808,116948] 1 [-26:-416:1]
36400bn (2 curves)	1	2- 5+ 7+ 13-	2- -2 5+ 7+  4 13-  0  6
Curve Equation t Generators 36400bn1 [0,1,0,-458008,-97116012] 2 [1172:31262:1] 36400bn2 [0,1,0,-2250008,1211043988] 2 [438:17600:1]
36400bo (1 curve)	1	2- 5+ 7+ 13-	2-  3 5+ 7+ -1 13-  0  6
Curve Equation t Generators 36400bo1 [0,0,0,1325,31250] 1 [525:6850:27]
36400bp (2 curves)	1	2- 5+ 7- 13+	2-  1 5+ 7-  0 13+  6 -2
Curve Equation t Generators 36400bp1 [0,1,0,-18333,-544537] 1 [-41:374:1] 36400bp2 [0,1,0,-668333,210055463] 1 [467:98:1]
36400bq (3 curves)	1	2- 5+ 7- 13+	2-  1 5+ 7-  3 13+  0 -2
Curve Equation t Generators 36400bq1 [0,1,0,2792,61588] 1 [228:3550:1] 36400bq2 [0,1,0,-77208,8285588] 1 [148:-350:1] 36400bq3 [0,1,0,-6265208,6033941588] 1 [1053252:350:729]
36400br (2 curves)	1	2- 5+ 7- 13+	2-  1 5+ 7-  3 13+  6 -2
Curve Equation t Generators 36400br1 [0,1,0,2592,-332812] 1 [418:8600:1] 36400br2 [0,1,0,-23408,9183188] 1 [98:-2800:1]
36400bs (3 curves)	1	2- 5+ 7- 13+	2-  1 5+ 7-  3 13+ -6 -2
Curve Equation t Generators 36400bs1 [0,1,0,-231379008,-1468984984012] 1 [96631854802:-25794337956800:1295029] 36400bs2 [0,1,0,1424870992,1347827515988] 1 [665138:543334400:1] 36400bs3 [0,1,0,-20201279008,1172022159615988] 1 [77199457583021286:-61941903667285196800:115003963647]
36400bt (1 curve)	1	2- 5+ 7- 13+	2- -1 5+ 7- -1 13+  3 -1
Curve Equation t Generators 36400bt1 [0,-1,0,-44728,-7965328] 1 [956:28672:1]
36400bu (1 curve)	1	2- 5+ 7- 13+	2- -1 5+ 7-  2 13+ -6 -4
Curve Equation t Generators 36400bu1 [0,-1,0,-6383333,-6205375463] 1 [-1459:182:1]
36400bv (1 curve)	1	2- 5+ 7- 13+	2- -1 5+ 7- -4 13+ -2 -2
Curve Equation t Generators 36400bv1 [0,-1,0,-133,-403] 1 [-4:7:1]
36400bw (2 curves)	1	2- 5+ 7- 13+	2-  2 5+ 7- -4 13+  0  2
Curve Equation t Generators 36400bw1 [0,-1,0,-2408,-12688] 2 [-38:150:1] 36400bw2 [0,-1,0,-30408,-2028688] 2 [482:9750:1]
36400bx (6 curves)	1	2- 5+ 7- 13+	2- -2 5+ 7-  0 13+  0 -2
Curve Equation t Generators 36400bx1 [0,1,0,-478408,-127036812] 2 [-412:550:1] 36400bx2 [0,1,0,-7646408,-8140860812] 2 [6268:436150:1] 36400bx3 [0,1,0,-2654408,1568963188] 2 [-1122:56000:1] 36400bx4 [0,1,0,-8142408,-7025244812] 2 [-1612:43750:1] 36400bx5 [0,1,0,-211590408,1184584979188] 2 [144426:12250000:27] 36400bx6 [0,1,0,-211618408,1184255755188] 2 [11868:586950:1]
36400by (4 curves)	1	2- 5+ 7- 13+	2- -2 5+ 7-  0 13+  0 -2
Curve Equation t Generators 36400by1 [0,1,0,-93408,-11004812] 2 [-172:50:1] 36400by2 [0,1,0,-121408,-3892812] 2 [388:2750:1] 36400by3 [0,1,0,-379408,79111188] 2 [-212:12250:1] 36400by4 [0,1,0,-5867408,5468327188] 2 [1468:-4550:1]
36400bz (3 curves)	1	2- 5+ 7- 13+	2- -2 5+ 7-  0 13+  6  7
Curve Equation t Generators 36400bz1 [0,1,0,-2933,-62237] 1 [17185774:89498989:226981] 36400bz2 [0,1,0,5067,-302237] 1 [222:3437:1] 36400bz3 [0,1,0,-46933,9629763] 1 [134:2401:1]
36400ca (2 curves)	1	2- 5+ 7- 13+	2- -2 5+ 7-  3 13+  6 -2
Curve Equation t Generators 36400ca1 [0,1,0,62,-117] 1 [19:91:1] 36400ca2 [0,1,0,-638,8143] 1 [633:2197:27]
36400cb (1 curve)	0	2- 5+ 7- 13-	2-  0 5+ 7-  2 13-  4  1
Curve Equation t 36400cb1 [0,0,0,-14600,-680500] 1
36400cc (2 curves)	0	2- 5+ 7- 13-	2-  0 5+ 7-  2 13-  4  4
Curve Equation t 36400cc1 [0,0,0,-11675,434250] 2 36400cc2 [0,0,0,16325,2198250] 2
36400cd (4 curves)	0	2- 5+ 7- 13-	2-  0 5+ 7- -4 13- -2  4
Curve Equation t 36400cd1 [0,0,0,-800075,-251999750] 2 36400cd2 [0,0,0,-2848075,1568672250] 4 36400cd3 [0,0,0,5151925,8792672250] 4 36400cd4 [0,0,0,-43616075,110867680250] 2
36400ce (1 curve)	0	2- 5+ 7- 13-	2- -1 5+ 7-  5 13- -2  6
Curve Equation t 36400ce1 [0,-1,0,-78408,-47260688] 1
36400cf (1 curve)	0	2- 5+ 7- 13-	2-  2 5+ 7- -1 13- -2  6
Curve Equation t 36400cf1 [0,-1,0,-743958,247233287] 1
36400cg (1 curve)	0	2- 5+ 7- 13-	2-  3 5+ 7-  5 13-  4 -2
Curve Equation t 36400cg1 [0,0,0,-8875,-7027750] 1
36400ch (2 curves)	1	2- 5- 7+ 13+	2-  0 5- 7+  0 13+ -2  2
Curve Equation t Generators 36400ch1 [0,0,0,-72875,-5043750] 2 [-201:1218:1] 36400ch2 [0,0,0,207125,-34443750] 2 [6573:148886:27]
36400ci (1 curve)	1	2- 5- 7+ 13+	2- -2 5- 7+ -1 13+  2  6
Curve Equation t Generators 36400ci1 [0,1,0,-29758,1965963] 1 [103:65:1]
36400cj (1 curve)	0	2- 5- 7+ 13-	2-  1 5- 7+ -1 13- -3 -1
Curve Equation t 36400cj1 [0,1,0,-1118208,-997902412] 1
36400ck (1 curve)	0	2- 5- 7+ 13-	2-  1 5- 7+  2 13-  6 -4
Curve Equation t 36400ck1 [0,1,0,-255333,-49745137] 1
36400cl (1 curve)	0	2- 5- 7+ 13-	2-  1 5- 7+ -4 13-  2 -2
Curve Equation t 36400cl1 [0,1,0,-3333,-57037] 1
36400cm (2 curves)	2	2- 5- 7+ 13-	2- -1 5- 7+  0 13- -6 -2
Curve Equation t Generators 36400cm1 [0,-1,0,-733,-4063] 1 [97:910:1]&[-8:35:1] 36400cm2 [0,-1,0,-26733,1691137] 1 [133:-686:1]&[93:26:1]
36400cn (2 curves)	0	2- 5- 7+ 13-	2-  2 5- 7+  3 13- -6 -2
Curve Equation t 36400cn1 [0,-1,0,1542,-17713] 1 36400cn2 [0,-1,0,-15958,1049787] 1
36400co (2 curves)	2	2- 5- 7+ 13-	2- -2 5- 7+ -2 13- -2  0
Curve Equation t Generators 36400co1 [0,1,0,-19208,-934412] 2 [-98:128:1]&[-92:250:1] 36400co2 [0,1,0,-299208,-63094412] 2 [-316:26:1]&[4172:267062:1]
36400cp (2 curves)	0	2- 5- 7+ 13-	2- -2 5- 7+  4 13-  0 -4
Curve Equation t 36400cp1 [0,1,0,-21208,-818412] 2 36400cp2 [0,1,0,58792,-5458412] 2
36400cq (2 curves)	2	2- 5- 7+ 13-	2- -2 5- 7+ -6 13-  2  0
Curve Equation t Generators 36400cq1 [0,1,0,-3848,89908] 2 [-52:390:1]&[-26:416:1] 36400cq2 [0,1,0,-6648,-61292] 2 [92:338:1]&[-13:152:1]
36400cr (1 curve)	0	2- 5- 7- 13+	2- -1 5- 7-  1 13+  3  3
Curve Equation t 36400cr1 [0,-1,0,-70208,14758912] 1
36400cs (2 curves)	0	2- 5- 7- 13+	2-  2 5- 7- -2 13+  2  0
Curve Equation t 36400cs1 [0,-1,0,-768,-7168] 2 36400cs2 [0,-1,0,-11968,-499968] 2
36400ct (2 curves)	0	2- 5- 7- 13+	2-  2 5- 7-  4 13+  0 -4
Curve Equation t 36400ct1 [0,-1,0,-848,-6208] 2 36400ct2 [0,-1,0,2352,-44608] 2
36400cu (2 curves)	0	2- 5- 7- 13+	2-  2 5- 7- -6 13+ -2  0
Curve Equation t 36400cu1 [0,-1,0,-96208,11430912] 2 36400cu2 [0,-1,0,-166208,-7329088] 2
36400cv (2 curves)	1	2- 5- 7- 13-	2-  0 5- 7-  0 13-  2  2
Curve Equation t Generators 36400cv1 [0,0,0,-2915,-40350] 2 [-25:130:1] 36400cv2 [0,0,0,8285,-275550] 2 [95:1170:1]
36400cw (1 curve)	1	2- 5- 7- 13-	2-  0 5- 7- -3 13-  4  6
Curve Equation t Generators 36400cw1 [0,0,0,-1569725,757187975] 1 [790:3185:1]
36400cx (1 curve)	1	2- 5- 7- 13-	2- -3 5- 7-  6 13- -2  0
Curve Equation t Generators 36400cx1 [0,0,0,-4000,47500] 1 [-50:350:1]

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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