Cremona's table of elliptic curves

119600 = 2⁴ · 5² · 13 · 23

Class	r	Atkin-Lehner	Eigenvalues
119600a (1 curve)	1	2+ 5+ 13+ 23+	2+  2 5+  3  0 13+  3  2
Curve Equation t Generators 119600a1 [0,-1,0,-4033,-322563] 1 [6468:34575:64]
119600b (1 curve)	0	2+ 5+ 13- 23+	2+  0 5+  3 -2 13- -3  2
Curve Equation t 119600b1 [0,0,0,-19861700,-34073736500] 1
119600c (1 curve)	1	2+ 5+ 13- 23-	2+  0 5+  1 -1 13-  7  4
Curve Equation t Generators 119600c1 [0,0,0,-801875,276381250] 1 [531:554:1]
119600d (1 curve)	1	2+ 5+ 13- 23-	2+ -1 5+ -1 -2 13- -7  0
Curve Equation t Generators 119600d1 [0,-1,0,7592,143312] 1 [26:-598:1]
119600e (1 curve)	1	2+ 5+ 13- 23-	2+ -1 5+ -3  0 13- -3  6
Curve Equation t Generators 119600e1 [0,-1,0,-1008,-9488] 1 [-18:50:1]
119600f (1 curve)	1	2+ 5+ 13- 23-	2+ -2 5+  1  0 13- -3  6
Curve Equation t Generators 119600f1 [0,1,0,-147633,21784363] 1 [222:13:1]
119600g (1 curve)	1	2+ 5+ 13- 23-	2+  3 5+ -5  0 13-  3 -6
Curve Equation t Generators 119600g1 [0,0,0,-40075,-3049750] 1 [-2895:3250:27]
119600h (1 curve)	1	2+ 5+ 13- 23-	2+ -3 5+ -2  5 13- -2  4
Curve Equation t Generators 119600h1 [0,0,0,-8035,-275390] 1 [-49:26:1]
119600i (1 curve)	2	2+ 5- 13+ 23+	2+  0 5- -1 -1 13+ -7  4
Curve Equation t Generators 119600i1 [0,0,0,-32075,2211050] 1 [91:214:1]&[106:46:1]
119600j (1 curve)	0	2+ 5- 13+ 23+	2+  3 5-  2  5 13+  2  4
Curve Equation t 119600j1 [0,0,0,-200875,-34423750] 1
119600k (2 curves)	1	2+ 5- 13+ 23-	2+ -2 5-  0  4 13+  0 -4
Curve Equation t Generators 119600k1 [0,1,0,-11448,-475292] 2 [134:644:1] 119600k2 [0,1,0,-11248,-492492] 2 [238:3220:1]
119600l (2 curves)	1	2+ 5- 13- 23+	2+  2 5-  0  4 13-  0 -4
Curve Equation t Generators 119600l1 [0,-1,0,-286208,-58839088] 2 [-56739947128:-184202676:184220009] 119600l2 [0,-1,0,-281208,-60999088] 2 [134155958829703938:-134085714028586416054:134296386561]
119600m (1 curve)	0	2- 5+ 13+ 23+	2-  1 5+  1  6 13+  3  4
Curve Equation t 119600m1 [0,1,0,-5008,-116012] 1
119600n (2 curves)	0	2- 5+ 13+ 23+	2-  1 5+ -1  0 13+  3 -2
Curve Equation t 119600n1 [0,1,0,-111008,-14272012] 1 119600n2 [0,1,0,-221008,18147988] 1
119600o (2 curves)	0	2- 5+ 13+ 23+	2-  1 5+ -1  6 13+ -3 -8
Curve Equation t 119600o1 [0,1,0,-7615408,-8091408812] 1 119600o2 [0,1,0,-8421408,-6274892812] 1
119600p (2 curves)	0	2- 5+ 13+ 23+	2-  1 5+  2 -3 13+ -6  4
Curve Equation t 119600p1 [0,1,0,-5008,-138092] 1 119600p2 [0,1,0,-7008,-19852] 1
119600q (3 curves)	0	2- 5+ 13+ 23+	2- -2 5+ -1  0 13+ -3 -2
Curve Equation t 119600q1 [0,1,0,-234133,-55088637] 1 119600q2 [0,1,0,1765867,521911363] 1 119600q3 [0,1,0,-35414133,82483531363] 1
119600r (2 curves)	1	2- 5+ 13+ 23-	2-  0 5+  0  2 13+  2  6
Curve Equation t Generators 119600r1 [0,0,0,-44875,-3711750] 2 [433905:25515696:125] 119600r2 [0,0,0,-720875,-235579750] 2 [13885:1633000:1]
119600s (2 curves)	1	2- 5+ 13+ 23-	2-  1 5+ -1  0 13+  3  4
Curve Equation t Generators 119600s1 [0,1,0,-3908,-40312] 1 [-13:92:1] 119600s2 [0,1,0,-164908,25719688] 1 [6249:1684:27]
119600t (2 curves)	1	2- 5+ 13+ 23-	2-  1 5+  2  3 13+ -6  4
Curve Equation t Generators 119600t1 [0,1,0,-1919540208,-31638015066412] 1 [-331294440226396:2947336121530186:11743520417] 119600t2 [0,1,0,-19561690208,1041100824233588] 1 [-775213900806494881122063230399437357668756:147952308084552317626550689431986713753623946:5304042513356405263451359338402542637]
119600u (2 curves)	1	2- 5+ 13+ 23-	2-  1 5+ -4 -3 13+ -3  1
Curve Equation t Generators 119600u1 [0,1,0,42312,-89464492] 1 [12694:1430416:1] 119600u2 [0,1,0,-380888,2418757268] 1 [342858:38614472:27]
119600v (1 curve)	1	2- 5+ 13+ 23-	2- -1 5+ -4  3 13+ -2 -4
Curve Equation t Generators 119600v1 [0,-1,0,-248,112] 1 [-4:32:1]
119600w (1 curve)	1	2- 5+ 13+ 23-	2-  3 5+  0  5 13+  2 -3
Curve Equation t Generators 119600w1 [0,0,0,-400,3500] 1 [-438:2042:27]
119600x (1 curve)	1	2- 5+ 13+ 23-	2-  3 5+ -3  2 13+  5  0
Curve Equation t Generators 119600x1 [0,0,0,-1440172075,2155043260250] 1 [-8104093599365792709909267651369862163553183737530038153267460172426166423015:206229901610674286303113549625898384312642001768258815280707127346842356950050:211262725510628322438954694119820264798453086326582753002371770248044879]
119600y (1 curve)	1	2- 5+ 13+ 23-	2- -3 5+  3  2 13+ -1 -6
Curve Equation t Generators 119600y1 [0,0,0,17525,-4055750] 1 [151:1426:1]
119600z (1 curve)	1	2- 5+ 13+ 23-	2- -3 5+ -3 -4 13+  5  0
Curve Equation t Generators 119600z1 [0,0,0,-72175,-7091750] 1 [2510:125000:1]
119600ba (2 curves)	1	2- 5+ 13- 23+	2-  0 5+  2 -2 13-  2  2
Curve Equation t Generators 119600ba1 [0,0,0,-42313300,-105940847625] 2 [3970501655456833912411230397190055797469400948894283451274173374543072239165420:-129506511067991632545265573649334841615726783806619619213271285091630297403233875:496062570278345299200936754899358421914109667454497093483425129305115124416] 119600ba2 [0,0,0,-42247175,-106288466750] 2 [491406833771192890006018079891331871170:53031156971382311359960313772086536507250:32874344691014415076233092018903629]
119600bb (4 curves)	1	2- 5+ 13- 23+	2-  0 5+ -4 -4 13- -2 -4
Curve Equation t Generators 119600bb1 [0,0,0,3925,-947750] 2 [9301:897024:1] 119600bb2 [0,0,0,-124075,-16179750] 4 [-171:192:1] 119600bb3 [0,0,0,-332075,52252250] 2 [-155:10000:1] 119600bb4 [0,0,0,-1964075,-1059459750] 2 [37215:7174050:1]
119600bc (1 curve)	1	2- 5+ 13- 23+	2-  0 5+  5  2 13- -2 -4
Curve Equation t Generators 119600bc1 [0,0,0,-21875,1331250] 1 [-1358:3131:8]
119600bd (1 curve)	1	2- 5+ 13- 23+	2-  1 5+ -1 -2 13- -5  0
Curve Equation t Generators 119600bd1 [0,1,0,-440408,-112640812] 1 [-11444332:31550:29791]
119600be (1 curve)	1	2- 5+ 13- 23+	2-  1 5+ -3  2 13-  5  0
Curve Equation t Generators 119600be1 [0,1,0,-8008,-272012] 1 [-57:50:1]
119600bf (1 curve)	1	2- 5+ 13- 23+	2- -1 5+  3 -2 13-  1  4
Curve Equation t Generators 119600bf1 [0,-1,0,-5608,169712] 1 [28:-184:1]
119600bg (1 curve)	1	2- 5+ 13- 23+	2- -1 5+  3  4 13- -5  4
Curve Equation t Generators 119600bg1 [0,-1,0,-178508,28918012] 1 [357:3250:1]
119600bh (1 curve)	1	2- 5+ 13- 23+	2-  2 5+  1  2 13-  0  6
Curve Equation t Generators 119600bh1 [0,-1,0,-16008,-776848] 1 [233:2844:1]
119600bi (1 curve)	1	2- 5+ 13- 23+	2-  2 5+ -1  2 13-  4 -6
Curve Equation t Generators 119600bi1 [0,-1,0,1352,-29328] 1 [434478:3231621:10648]
119600bj (1 curve)	1	2- 5+ 13- 23+	2-  2 5+  3  4 13- -5 -2
Curve Equation t Generators 119600bj1 [0,-1,0,-533,-67063] 1 [112:1125:1]
119600bk (1 curve)	1	2- 5+ 13- 23+	2-  2 5+ -5 -5 13-  3 -8
Curve Equation t Generators 119600bk1 [0,-1,0,-27708,-3133588] 1 [17252:191061:64]
119600bl (1 curve)	1	2- 5+ 13- 23+	2- -2 5+ -3  2 13- -4 -6
Curve Equation t Generators 119600bl1 [0,1,0,604792,946873588] 1 [-267659:202756:343]
119600bm (1 curve)	1	2- 5+ 13- 23+	2- -3 5+ -1  4 13- -7  2
Curve Equation t Generators 119600bm1 [0,0,0,-100675,3069250] 1 [15:1250:1]
119600bn (2 curves)	0	2- 5+ 13- 23-	2-  0 5+  2 -2 13-  2  2
Curve Equation t 119600bn1 [0,0,0,-13900,-205125] 2 119600bn2 [0,0,0,52225,-1593750] 2
119600bo (2 curves)	0	2- 5+ 13- 23-	2-  0 5+ -2  0 13- -6 -4
Curve Equation t 119600bo1 [0,0,0,1325,239250] 2 119600bo2 [0,0,0,-50675,4243250] 2
119600bp (1 curve)	0	2- 5+ 13- 23-	2-  0 5+  3  5 13-  3  4
Curve Equation t 119600bp1 [0,0,0,205,2290] 1
119600bq (1 curve)	0	2- 5+ 13- 23-	2- -1 5+ -1 -4 13-  7 -6
Curve Equation t 119600bq1 [0,-1,0,-1552408,-743772688] 1
119600br (1 curve)	0	2- 5+ 13- 23-	2- -1 5+ -1  6 13- -3  4
Curve Equation t 119600br1 [0,-1,0,1592,11555312] 1
119600bs (1 curve)	0	2- 5+ 13- 23-	2-  2 5+ -1 -1 13-  7  0
Curve Equation t 119600bs1 [0,-1,0,-468,169052] 1
119600bt (1 curve)	0	2- 5+ 13- 23-	2-  3 5+  1 -2 13-  3 -4
Curve Equation t 119600bt1 [0,0,0,-10981075,5701255250] 1
119600bu (1 curve)	0	2- 5+ 13- 23-	2-  3 5+  3  2 13- -3  4
Curve Equation t 119600bu1 [0,0,0,-256675,-49030750] 1
119600bv (1 curve)	0	2- 5+ 13- 23-	2-  3 5+  4  3 13-  3 -1
Curve Equation t 119600bv1 [0,0,0,-1224115,522699890] 1
119600bw (1 curve)	1	2- 5- 13+ 23+	2-  0 5-  1 -2 13+  3  0
Curve Equation t Generators 119600bw1 [0,0,0,4000,-250000] 1 [1250:16375:8]
119600bx (1 curve)	1	2- 5- 13+ 23+	2-  0 5- -3  5 13+ -3  4
Curve Equation t Generators 119600bx1 [0,0,0,5125,286250] 1 [-26:368:1]
119600by (1 curve)	1	2- 5- 13+ 23+	2- -1 5-  1 -6 13+ -1 -2
Curve Equation t Generators 119600by1 [0,-1,0,-23208,964912] 1 [42:250:1]
119600bz (1 curve)	1	2- 5- 13+ 23+	2- -2 5-  1 -1 13+ -7  0
Curve Equation t Generators 119600bz1 [0,1,0,-11708,21108088] 1 [9412:304175:64]
119600ca (1 curve)	1	2- 5- 13+ 23+	2- -2 5-  1  4 13+  3  0
Curve Equation t Generators 119600ca1 [0,1,0,-72333,-7562537] 1 [2479:122694:1]
119600cb (1 curve)	1	2- 5- 13+ 23+	2-  3 5- -5 -2 13+ -3 -6
Curve Equation t Generators 119600cb1 [0,0,0,-205555,-29673550] 1 [-313620:2222965:1728]
119600cc (1 curve)	1	2- 5- 13+ 23+	2- -3 5- -3  0 13+  7  2
Curve Equation t Generators 119600cc1 [0,0,0,-1375,6250] 1 [50:250:1]
119600cd (1 curve)	1	2- 5- 13+ 23+	2- -3 5- -4  3 13+ -3 -1
Curve Equation t Generators 119600cd1 [0,0,0,-30602875,65337486250] 1 [3231:13754:1]
119600ce (1 curve)	2	2- 5- 13+ 23-	2-  0 5- -5  2 13+  2 -4
Curve Equation t Generators 119600ce1 [0,0,0,-875,10650] 1 [-25:130:1]&[5:80:1]
119600cf (1 curve)	0	2- 5- 13+ 23-	2-  1 5-  1  2 13+ -3  6
Curve Equation t 119600cf1 [0,1,0,-2088,-36172] 1
119600cg (1 curve)	0	2- 5- 13+ 23-	2-  2 5-  3  2 13+  4 -6
Curve Equation t 119600cg1 [0,-1,0,24192,7565312] 1
119600ch (1 curve)	2	2- 5- 13+ 23-	2- -2 5-  1  2 13+ -4 -6
Curve Equation t Generators 119600ch1 [0,1,0,33792,-3598412] 1 [108:1150:1]&[458:10400:1]
119600ci (1 curve)	0	2- 5- 13+ 23-	2- -2 5- -1  2 13+  0  6
Curve Equation t 119600ci1 [0,1,0,-400208,-97906412] 1
119600cj (1 curve)	0	2- 5- 13+ 23-	2- -2 5-  5 -5 13+ -3 -8
Curve Equation t 119600cj1 [0,1,0,-1108,-25512] 1
119600ck (1 curve)	0	2- 5- 13- 23+	2-  1 5-  4  3 13-  2 -4
Curve Equation t 119600ck1 [0,1,0,-6208,1588] 1
119600cl (1 curve)	0	2- 5- 13- 23+	2- -1 5- -1  2 13-  3  6
Curve Equation t 119600cl1 [0,-1,0,-52208,-4417088] 1
119600cm (2 curves)	0	2- 5- 13- 23+	2- -1 5- -2  3 13-  6  4
Curve Equation t 119600cm1 [0,-1,0,-76781608,-253073407888] 1 119600cm2 [0,-1,0,-782467608,8329119580912] 1
119600cn (2 curves)	0	2- 5- 13- 23+	2- -1 5-  4 -3 13-  3  1
Curve Equation t 119600cn1 [0,-1,0,1057792,-11185177088] 1 119600cn2 [0,-1,0,-9522208,302363702912] 1
119600co (1 curve)	1	2- 5- 13- 23-	2-  0 5- -1 -2 13- -3  0
Curve Equation t Generators 119600co1 [0,0,0,160,-2000] 1 [9:13:1]
119600cp (1 curve)	1	2- 5- 13- 23-	2-  1 5- -1 -6 13-  1 -2
Curve Equation t Generators 119600cp1 [0,1,0,-928,7348] 1 [-12:130:1]
119600cq (2 curves)	1	2- 5- 13- 23-	2- -1 5- -2 -3 13-  6  4
Curve Equation t Generators 119600cq1 [0,-1,0,-125208,-17011088] 1 [-204:8:1] 119600cq2 [0,-1,0,-175208,-2131088] 1 [-172:-4784:1]
119600cr (1 curve)	1	2- 5- 13- 23-	2-  2 5- -1  4 13- -3  0
Curve Equation t Generators 119600cr1 [0,-1,0,-2893,-59343] 1 [192:2535:1]
119600cs (1 curve)	1	2- 5- 13- 23-	2-  3 5-  3  0 13- -7  2
Curve Equation t Generators 119600cs1 [0,0,0,-55,50] 1 [210:260:27]
119600ct (1 curve)	1	2- 5- 13- 23-	2- -3 5-  5 -2 13-  3 -6
Curve Equation t Generators 119600ct1 [0,0,0,-5138875,-3709193750] 1 [-1050:23000:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations